Analysis and Mathematical Physics

Article	Citations
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation	80
Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method	58
A binary Darboux transformation for multicomponent NLS equations and their reductions	44
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system	31
Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters	29
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems	24
A cardioid domain and starlike functions	23
Characterization of statistical convergence of complex uncertain double sequence	21
Existence of solutions for singular double phase problems via the Nehari manifold method	21
The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles	21
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces	21
New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation	20
A note on Fisher information hypocoercive decay for the linear Boltzmann equation	20
Generalized Kantorovich forms of exponential sampling series	20
Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces	19
Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients	18
A note on almost Ricci solitons	16
The spectral theorem for normal operators on a Clifford module	16
Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	15
Spectral properties of the logarithmic Laplacian	15
Logarithmic Hölder continuous mappings and Beltrami equation	14
Bohr radius for certain classes of close-to-convex harmonic mappings	14
Interpolative gap bounds for nonautonomous integrals	14
On fractional Orlicz–Sobolev spaces	13
Cesàro-like operators acting on spaces of analytic functions	13

Boas-type theorems for the q-Bessel Fourier transform	13
Liouvillian integrability of the generalized Duffing oscillators	13
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish	12
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas	12
On Hilbert and Riemann problems for generalized analytic functions and applications	11
Localized John–Nirenberg–Campanato spaces	11
Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$	10
On synchronization in Kuramoto models on spheres	10
Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system	10
Regularity of Fourier integral operators with amplitudes in general Hörmander classes	10
On boundary confinements for the Coulomb gas	9
Carleson measures and the range of a Cesàro-like operator acting on $$H^\infty $$	9
Extension of isometries from the unit sphere of a rank-2 Cartan factor	9
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit	9
Topological mappings of finite area distortion	9
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions	9
Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation	9
Approximation by exponential sampling type neural network operators	9
Inverse spectral problems for Hill-type operators with frozen argument	9
Polyanalytic boundary value problems for planar domains with harmonic Green function	9
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition	9
Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$	8
Recursion operators in the cotangent covering of the rdDym equation	8
On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth	8
Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential	8
Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$	8
Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph	8
Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay	8
Padé approximants on Riemann surfaces and KP tau functions	8
Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions	8
Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential	8
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a $$4\times 4$$ matrix Lax pair	8
Lower bounds on the radius of spatial analyticity for the Kawahara equation	7
Solving the modified complex short pulse equation of focusing type: a Riemann–Hilbert approach	7
Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry	7
Inverse resonance scattering for Dirac operators on the half-line	7
Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields	7
Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations	7
On the behaviour of analytic representation of the generalized Pascal snail	7
Starlikeness of certain non-univalent functions	6
Solvability of some integro-differential equations with anomalous diffusion and transport	6
Positivity of certain classes of functions related to the Fox H-functions with applications	6
On solutions for several systems of complex nonlinear partial differential equations with two variables	6
$$C^*$$-fermi systems and detailed balance	6
Positive definiteness for 4th order symmetric tensors and applications	6
Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities	6
Threshold condensation to singular support for a Riesz equilibrium problem	6
Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents	6
Dynamics and synchronization of complex neural networks with boundary coupling	6
Higher order difference operators and uniqueness of meromorphic functions	6

A series expansion for generalized harmonic functions	6
Well-posedness for Hardy–Hénon parabolic equations with fractional Brownian noise	6
Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents	6
Fractional glassy relaxation and convolution modules of distributions	6
On a Schrödinger system arizing in nonlinear optics	6
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type	5
Approximation of discontinuous functions by Kantorovich exponential sampling series	5
Starlike functions associated with the generalized Koebe function	5
$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations	5
Existence of solutions for some systems of integro-differential equations with transport and superdiffusion	5
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model	5
Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes	5
RKH spaces of Brownian type defined by Cesàro–Hardy operators	5
Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature	5
Successive coefficients of functions in classes defined by subordination	5
Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities	5
Nehari manifold and fractional Dirichlet boundary value problem	5
Riesz bases of normalized reproducing kernels in Fock type spaces	5
A geometric construction of isospectral magnetic graphs	5
Almost-Hermitian random matrices and bandlimited point processes	4
Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation	4
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials	4
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations	4
Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators	4
Integrability structures of the generalized Hunter–Saxton equation	4
Logarithmically completely monotonic functions related to the q-gamma function and its applications	4
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems	4
Spectral stability estimates of Dirichlet divergence form elliptic operators	4
Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians	4
Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation	4
On spectral asymptotic of quasi-exactly solvable quartic potential	4
Non-commutative integrability, exact solvability and the Hamilton–Jacobi theory	4
A Liouville type theorem for the stationary compressible Navier–Stokes equations	4
Coupled discrete Sawada–Kotera equations and their explicit quasi-periodic solutions	4
Coercive inequalities in higher-dimensional anisotropic heisenberg group	4
Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem	4
On semi-exponential Gauss–Weierstrass operators	4
Riemann–Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation	4
On the Koebe Quarter Theorem for certain polynomials	4
On the eigenvalues of the Robin Laplacian with a complex parameter	4
Dispersion for Schrödinger operators on regular trees	4
Exact solutions and conservation laws of multi Kaup–Boussinesq system with fractional order	4
Spectral data of conformable Sturm–Liouville direct problems	3
A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators	3
Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin	3
Kowalewski top and complex Lie algebras	3
Static perfect fluid spacetimes on GRW spacetimes	3
On the Dirichlet problem for the Schrödinger equation in the upper half-space	3
Nonexistence for nonlinear hyperbolic inequalities in an annulus	3
On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis	3
A Gelfand-Levitan trace formula for generic quantum graphs	3
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials	3
Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form	3
Modified constrained KP hierarchy and bi-Hamiltonian structures	3
Phase constants in the Fock–Goncharov quantum cluster varieties	3
Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann–Hilbert method	3
Existence and multiplicity for fractional p-Kirchhoff problem with competitive nonlinearities and critical growth	3
Jointly convex mappings related to Lieb’s theorem and Minkowski type operator inequalities	3
An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble	3
Entire solutions of certain type binomial differential equations	3
Positive energy representations of Sobolev diffeomorphism groups of the circle	3
Uniform approximation by multivariate quasi-projection operators	3
On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation	3
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities	3
A unified construction of product formulas and convolutions for Sturm–Liouville operators	3
Bernstein spaces on Siegel CR manifolds	3
Bounded weak solutions to superlinear Dirichlet double phase problems	3
Eigenvalues of Witten-Laplacian on the cigar metric measure spaces	3
Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian	3
Singular integral operators and a $${\overline{\partial }}$$-problem for $$(\varphi ,\psi )$$-harmonic functions	3
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in $${\mathbb {R}}^{n}$$	3
Complex-self-adjointness	3
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces	3
Fast computation of elastic and hydrodynamic potentials using approximate approximations	3
Envelope of plurisubharmonic functions in Cegrell’s classes	3
A class of Hausdorff-Zhu operators	3
Normalized solutions to the Schrödinger–Poisson–Slater equation with general nonlinearity: mass supercritical case	3
Semi-classical Jacobi polynomials, Hankel determinants and asymptotics	3
The dispersionless Veselov–Novikov equation: symmetries, exact solutions, and conservation laws	3
Holomorphic functions, relativistic sum, Blaschke products and superoscillations	3

A family of non-modular covariant AQFTs	3
Kac-Rice formula for transverse intersections	3
Lattice sums for double periodic polyanalytic functions	3
$$L^1$$ convergence of Fourier transforms	3
Multi-pulse edge-localized states on quantum graphs	3
Boundedness of Calderón–Zygmund operators on ball Campanato-type function spaces	3
Critical Kirchhoff $$ p(\cdot ) \& q(\cdot )$$-fractional variable-order systems with variable exponent growth	2
Nonlocal Kirchhoff-type problem involving variable exponent and logarithmic nonlinearity on compact Riemannian manifolds	2
Bounds of all terms of homogeneous expansions for a subclass of g-parametric biholomorphic mappings in $${\mathbb {C}}^n$$	2
Non-variational weakly coupled elliptic systems	2
Avkhadiev–Backer type p-valent conditions for biharmonic functions	2
Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach	2
The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications	2
Casimir pistons with generalized boundary conditions: a step forward	2
Multiple solutions for a class of quasilinear Schrödinger–Poisson system in $${\mathbb {R}}^3$$ with critical nonlinearity and zero mass	2
P-summability method applied to multivariate (p, q)-Lagrange polynomial operators	2
Estimates for the operators $$V^\alpha (-\Delta +V)^{-\beta }$$ with nonnegative potentials V	2
On uniqueness of a meromorphic function and its higher difference operators sharing two sets	2
Local invariants of divergence-free webs	2
Torrential forced KdV equation: soliton solutions over a hole	2
On meromorphic solutions of the Fermat-type functional equations $$f(z)^{3}+f(z+c)^{3}=e^{P}$$	2
The Cheeger cut and Cheeger problem in metric graphs	2
On the Koebe Quarter Theorem for certain polynomials of odd degree	2
Nonlinear splittings on fibre bundles	2
Existence and non-existence results for fractional Kirchhoff Laplacian problems	2
Boundedness of commutators of $$\theta $$-type Calderón–Zygmund operators on generalized weighted Morrey spaces over RD-spaces	2
Hermitian–Toeplitz determinants for certain univalent functions	2
Lightlike manifolds and Cartan geometries	2
Countable additivity of Henstock–Dunford integrable functions and Orlicz Space	2
Uniqueness theorems for the impulsive Dirac operator with discontinuity	2
Marcinkiewicz exponent and boundary value problems in fractal domains of $${\mathbb {R}}^{n+1}$$	2
Evaluation of nonterminating $$_3F_2(\frac{1}{4})$$-series perturbed by three integer parameters	2
Combined effects of logarithmic and superlinear nonlinearities in fractional Laplacian systems	2
The geometry of the Wigner caustic and a decomposition of a curve into parallel arcs	2
Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors	2
Hyperbolic regularization of the restricted three–body problem on curved spaces	2
Space quasiconformal composition operators with applications to Neumann eigenvalues	2
A review of some new results in the theory of linear elliptic equations with drift in $$L_{d}$$	2
Level sets of potential functions bisecting unbounded quadrilaterals	2
Constructive description of analytic Besov spaces in strictly pseudoconvex domains	2
Effect of density dependence on coinfection dynamics	2
A different approach for study some fractional evolution equations	2
Well-posedness of a class of stochastic partial differential equations with fully monotone coefficients perturbed by Lévy noise	2
Singular subelliptic equations and Sobolev inequalities on Carnot groups	2
Explicit construction of wavelet frames on locally compact Abelian groups	2
Blow-up of solutions to a fourth-order parabolic equation with/without p-Laplician and general nonlinearity modeling epitaxial growth	2
Differential geometry of $${\mathsf {SO}}^*(2n)$$-type structures-integrability	2
On stable harmonic mappings	2
Geometric quantization via cotangent models	2
On the Riemann problem in fractal elastic media	2
Equidistribution of zeros of some polynomials related to cyclic functions	2
Octonion Offset Linear Canonical Transform	2
Partial Taylor sums on local Dirichlet spaces	2
Harmonic Archimedean and hyperbolic spirallikeness	2
Colesanti type inequalities for affine connections	2
On the Lie Algebra of polarizable Carnot groups	2
“Smooth rigidity” and Remez-type inequalities	2
Some properties of certain close-to-convex harmonic mappings	2
The gauge transformations of the constrained q-deformed modified KP hierarchy and their relations with the additional symmetries	2
Existence, uniqueness, and relaxation results in initial value type problems for nonlinear fractional differential equations	2
Functional equations related to Appell polynomials and Heun functions	2
On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras	2
Heating long pipes	2
Transcendental solutions of Fermat-type functional equations in $$ \mathbb {C}^n $$	1
Quantitative weighted estimates for Harmonic analysis operators in the Bessel setting by using sparse domination	1
Ruminations on Hejhal’s theorem about the Bergman and Szegő kernels	1
Introduction to coherent quantization	1
Classification of initial energy in a pseudo-parabolic equation with variable exponents	1
Initial boundary value problem for p-Laplacian type parabolic equation with singular potential and logarithmic nonlinearity	1
On an extension of Nunokawa’s lemma	1
Liouville’s theorem for generalized harmonic function	1
Extensions on two-component BKP and D type Drinfeld–Sokolov hierarchies	1
Beam deflection coupled systems of fractional differential equations: existence of solutions, Ulam–Hyers stability and travelling waves	1
Multiplicity of semiclassical solutions for fractional Choquard equations with critical growth	1
Variations of real and imaginary parts of eigenvalues of compact operators under perturbations	1
Linear isometries on Banach spaces	1
Riemann theta function solutions to the coupled long wave–short wave resonance equations	1
Boundedness of the fractional Hardy-Littlewood maximal operator on weighted Morrey spaces	1
Existence of solutions for a class of heat equations involving the mean curvature operator	1
On the injectivity of integral operators related to the Euler–Poisson–Darboux equation and shifted k-plane transforms	1
Landau–Zener formula in a “non-adiabatic” regime for avoided crossings	1
On Bergman kernel functions and weak holomorphic Morse inequalities	1
Perturbed eigenvalue problems for the Robin p-Laplacian plus an indefinite potential	1
Generalizations of harmonic functions in $${\mathbb R}^m$$	1
Eigenvalue problem versus Casimir functions for Lie algebras	1
On the existence of solutions of semi-hyperbolic patches to two-dimensional Euler equations for a class of pressure laws	1
Determinant for positive operators and operator geometric means	1
Ground state solutions for Kirchhoff-type problems with convolution nonlinearity and Berestycki–Lions type conditions	1
On weighted norm inequalities for oscillatory integral operators	1
The generalization of strong anisotropic XXZ model and UC hierarchy	1
Domains with algebraic X-ray transform	1
Fourier integral operators on $$L^p({\mathbb {R}}^{n})$$ when $$2<p\le \infty $$	1
Fischer decompositions for entire functions and the Dirichlet problem for parabolas	1
The Cauchy problem for nonlocal abstract Schrödinger equations and applications	1
Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations	1