Analysis and Mathematical Physics

Papers
(The TQCC of Analysis and Mathematical Physics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)
ArticleCitations
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation80
Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method58
A binary Darboux transformation for multicomponent NLS equations and their reductions44
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system31
Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters29
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems24
A cardioid domain and starlike functions23
The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles21
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces21
Characterization of statistical convergence of complex uncertain double sequence21
Existence of solutions for singular double phase problems via the Nehari manifold method21
A note on Fisher information hypocoercive decay for the linear Boltzmann equation20
Generalized Kantorovich forms of exponential sampling series20
New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation20
Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces19
Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients18
The spectral theorem for normal operators on a Clifford module16
A note on almost Ricci solitons16
Spectral properties of the logarithmic Laplacian15
Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes15
Interpolative gap bounds for nonautonomous integrals14
Logarithmic Hölder continuous mappings and Beltrami equation14
Bohr radius for certain classes of close-to-convex harmonic mappings14
Boas-type theorems for the q-Bessel Fourier transform13
Liouvillian integrability of the generalized Duffing oscillators13
On fractional Orlicz–Sobolev spaces13
Cesàro-like operators acting on spaces of analytic functions13
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish12
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas12
Localized John–Nirenberg–Campanato spaces11
On Hilbert and Riemann problems for generalized analytic functions and applications11
Regularity of Fourier integral operators with amplitudes in general Hörmander classes10
Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$10
On synchronization in Kuramoto models on spheres10
Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system10
Topological mappings of finite area distortion9
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions9
Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation9
Approximation by exponential sampling type neural network operators9
Inverse spectral problems for Hill-type operators with frozen argument9
Polyanalytic boundary value problems for planar domains with harmonic Green function9
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition9
On boundary confinements for the Coulomb gas9
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 factor9
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit9
Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph8
Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay8
Padé approximants on Riemann surfaces and KP tau functions8
Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions8
Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential8
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a $$4\times 4$$ matrix Lax pair8
Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$8
Recursion operators in the cotangent covering of the rdDym equation8
On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth8
Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential8
Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$8
Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations7
On the behaviour of analytic representation of the generalized Pascal snail7
Lower bounds on the radius of spatial analyticity for the Kawahara equation7
Solving the modified complex short pulse equation of focusing type: a Riemann–Hilbert approach7
Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry7
Inverse resonance scattering for Dirac operators on the half-line7
Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields7
Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities6
Threshold condensation to singular support for a Riesz equilibrium problem6
Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents6
Dynamics and synchronization of complex neural networks with boundary coupling6
Higher order difference operators and uniqueness of meromorphic functions6
A series expansion for generalized harmonic functions6
Well-posedness for Hardy–Hénon parabolic equations with fractional Brownian noise6
Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents6
Fractional glassy relaxation and convolution modules of distributions6
On a Schrödinger system arizing in nonlinear optics6
Starlikeness of certain non-univalent functions6
Solvability of some integro-differential equations with anomalous diffusion and transport6
Positivity of certain classes of functions related to the Fox H-functions with applications6
On solutions for several systems of complex nonlinear partial differential equations with two variables6
$$C^*$$-fermi systems and detailed balance6
Positive definiteness for 4th order symmetric tensors and applications6
Approximation of discontinuous functions by Kantorovich exponential sampling series5
Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature5
Starlike functions associated with the generalized Koebe function5
Successive coefficients of functions in classes defined by subordination5
Nehari manifold and fractional Dirichlet boundary value problem5
Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes5
A geometric construction of isospectral magnetic graphs5
RKH spaces of Brownian type defined by Cesàro–Hardy operators5
Characterization of the boundedness of fractional maximal operator and its commutators in Orlicz and generalized Orlicz–Morrey spaces on spaces of homogeneous type5
Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities5
$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations5
Riesz bases of normalized reproducing kernels in Fock type spaces5
Existence of solutions for some systems of integro-differential equations with transport and superdiffusion5
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model5
Modified inertial projection and contraction algorithms for solving variational inequality problems with non-Lipschitz continuous operators4
Integrability structures of the generalized Hunter–Saxton equation4
Logarithmically completely monotonic functions related to the q-gamma function and its applications4
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems4
Spectral stability estimates of Dirichlet divergence form elliptic operators4
Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians4
Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation4
On spectral asymptotic of quasi-exactly solvable quartic potential4
Non-commutative integrability, exact solvability and the Hamilton–Jacobi theory4
A Liouville type theorem for the stationary compressible Navier–Stokes equations4
Coupled discrete Sawada–Kotera equations and their explicit quasi-periodic solutions4
Coercive inequalities in higher-dimensional anisotropic heisenberg group4
Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem4
On semi-exponential Gauss–Weierstrass operators4
Riemann–Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation4
On the Koebe Quarter Theorem for certain polynomials4
On the eigenvalues of the Robin Laplacian with a complex parameter4
Dispersion for Schrödinger operators on regular trees4
Exact solutions and conservation laws of multi Kaup–Boussinesq system with fractional order4
Almost-Hermitian random matrices and bandlimited point processes4
Lagrangian extensions of multi-dimensional integrable equations. I. The five-dimensional Martínez Alonso–Shabat equation4
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials4
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations4
On the Dirichlet problem for the Schrödinger equation in the upper half-space3
Nonexistence for nonlinear hyperbolic inequalities in an annulus3
A Gelfand-Levitan trace formula for generic quantum graphs3
On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis3
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials3
Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form3
Modified constrained KP hierarchy and bi-Hamiltonian structures3
Phase constants in the Fock–Goncharov quantum cluster varieties3
Holomorphic solutions and solvability theory for a class of linear complete singular integro-differential equations with convolution by Riemann–Hilbert method3
Existence and multiplicity for fractional p-Kirchhoff problem with competitive nonlinearities and critical growth3
Jointly convex mappings related to Lieb’s theorem and Minkowski type operator inequalities3
An upper bound for the number of gravitationally lensed images in a multiplane point-mass ensemble3
Entire solutions of certain type binomial differential equations3
Positive energy representations of Sobolev diffeomorphism groups of the circle3
Uniform approximation by multivariate quasi-projection operators3
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities3
On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation3
A unified construction of product formulas and convolutions for Sturm–Liouville operators3
Bernstein spaces on Siegel CR manifolds3
Bounded weak solutions to superlinear Dirichlet double phase problems3
Eigenvalues of Witten-Laplacian on the cigar metric measure spaces3
Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian3
Singular integral operators and a $${\overline{\partial }}$$-problem for $$(\varphi ,\psi )$$-harmonic functions3
Symmetry and monotonicity of positive solutions for a system involving fractional p&q-Laplacian in $${\mathbb {R}}^{n}$$3
Complex-self-adjointness3
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces3
Fast computation of elastic and hydrodynamic potentials using approximate approximations3
Envelope of plurisubharmonic functions in Cegrell’s classes3
A class of Hausdorff-Zhu operators3
Normalized solutions to the Schrödinger–Poisson–Slater equation with general nonlinearity: mass supercritical case3
Semi-classical Jacobi polynomials, Hankel determinants and asymptotics3
Holomorphic functions, relativistic sum, Blaschke products and superoscillations3
The dispersionless Veselov–Novikov equation: symmetries, exact solutions, and conservation laws3
A family of non-modular covariant AQFTs3
Kac-Rice formula for transverse intersections3
Lattice sums for double periodic polyanalytic functions3
$$L^1$$ convergence of Fourier transforms3
Multi-pulse edge-localized states on quantum graphs3
Boundedness of Calderón–Zygmund operators on ball Campanato-type function spaces3
Spectral data of conformable Sturm–Liouville direct problems3
A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators3
Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin3
Kowalewski top and complex Lie algebras3
Static perfect fluid spacetimes on GRW spacetimes3
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