OOIR: Observatory of International Research

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 2020-03-01 to 2024-03-01.)

Article	Citations
Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev–Petviashvili equation	74
Optical solitons and other solutions to Kaup–Newell equation with Jacobi elliptic function expansion method	49
A binary Darboux transformation for multicomponent NLS equations and their reductions	42
Characterizations of the Lorentzian manifolds admitting a type of semi-symmetric metric connection	34
Study on dynamic characteristics of a rotating cylindrical shell with uncertain parameters	24
New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems	20
New auxiliary equation approach to derive solutions of fractional resonant Schrödinger equation	19
Exact periodic cross-kink wave solutions for the (2+1)-dimensional Korteweg-de Vries equation	19
Regularity of solutions of elliptic equations in divergence form in modified local generalized Morrey spaces	18
Characterization of statistical convergence of complex uncertain double sequence	18
A note on Fisher information hypocoercive decay for the linear Boltzmann equation	17
A cardioid domain and starlike functions	17
Generalized Kantorovich forms of exponential sampling series	16
Existence of solutions for singular double phase problems via the Nehari manifold method	16
Conjugations in $$L^2$$ and their invariants	15
Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity	15
Refined Bohr-type inequalities with area measure for bounded analytic functions	15
The Riemann-Hilbert approach for the focusing Hirota equation with single and double poles	15
The Fekete-Szegö problem for starlike mappings and nonlinear resolvents of the Carathéodory family on the unit balls of complex Banach spaces	14
Boundedness of Calderón–Zygmund operators on special John–Nirenberg–Campanato and Hardy-type spaces via congruent cubes	13
The spectral theorem for normal operators on a Clifford module	13
Bohr radius for certain classes of close-to-convex harmonic mappings	13
Boas-type theorems for the q-Bessel Fourier transform	13
Transcendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficients	12
Liouvillian integrability of the generalized Duffing oscillators	12

A note on almost Ricci solitons	11
Soliton solutions of generalized $$(3+1)$$-dimensional Yu–Toda–Sasa–Fukuyama equation using Lie symmetry analysis	11
Interpolative gap bounds for nonautonomous integrals	11
On Hilbert and Riemann problems for generalized analytic functions and applications	11
On fractional Orlicz–Sobolev spaces	11
Dynamical behavior of analytical soliton solutions, bifurcation analysis, and quasi-periodic solution to the (2+1)-dimensional Konopelchenko–Dubrovsky (KD) system	11
Logarithmic Hölder continuous mappings and Beltrami equation	11
Spectral properties of the logarithmic Laplacian	11
Delta shocks and vacuum states for the isentropic magnetogasdynamics equations for Chaplygin gas as pressure and magnetic field vanish	10
Localized John–Nirenberg–Campanato spaces	10
Ground state solutions of the non-autonomous Schrödinger–Bopp–Podolsky system	10
Regularity of Fourier integral operators with amplitudes in general Hörmander classes	9
Systems of simultaneous differential inequalities, inclusions and subordinations in the complex plane	9
Multiple orthogonal polynomials: Pearson equations and Christoffel formulas	9
Extension of isometries from the unit sphere of a rank-2 Cartan factor	9
Korovkin type theorem for Bernstein–Kantorovich operators via power summability method	9
On boundary confinements for the Coulomb gas	8
Recursion operators in the cotangent covering of the rdDym equation	8
On matrix-valued wave packet frames in $$L^2({\mathbb {R}}^d, {\mathbb {C}}^{s\times r})$$	8
N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation	8
The nonlinear Schrödinger equation on the half-line with a Robin boundary condition	8
Double-periodic soliton solutions for the new (2 + 1)-dimensional KdV equation in fluid flows and plasma physics	8
Anisotropic double-phase problems with indefinite potential: multiplicity of solutions	8
On synchronization in Kuramoto models on spheres	8
The fourth-order Hermitian Toeplitz determinant for convex functions	7
Teichmüller spaces and coefficient problems for univalent holomorphic functions	7
Topological mappings of finite area distortion	7
Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph	7
Operator estimates for non-periodically perforated domains with Dirichlet and nonlinear Robin conditions: vanishing limit	7
Cesàro-like operators acting on spaces of analytic functions	7
Inverse spectral problems for Hill-type operators with frozen argument	7
Fractional Choquard-Kirchhoff problems with critical nonlinearity and Hardy potential	7
Riemann–Hilbert method for multi-soliton solutions of a fifth-order nonlinear Schrödinger equation	7
Approximation by exponential sampling type neural network operators	7
Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential	7
Solving the modified complex short pulse equation of focusing type: a Riemann–Hilbert approach	7
On the behaviour of analytic representation of the generalized Pascal snail	7
The Funk–Radon transform for hyperplane sections through a common point	6
Polyanalytic boundary value problems for planar domains with harmonic Green function	6
Higher order difference operators and uniqueness of meromorphic functions	6
Finitely bi-Lipschitz homeomorphisms between Finsler manifolds	6
Hausdorff operator and commutator on weighted Morrey–Herz spaces on p-adic fields	6
Local regularity of axisymmetric solutions to the Navier–Stokes equations	6
Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$	6
Carleson measures and the range of a Cesàro-like operator acting on $$H^\infty $$	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
Dynamics and synchronization of complex neural networks with boundary coupling	5
Selected results and open problems on Hardy–Rellich and Poincaré–Friedrichs inequalities	5
Harmonic conjugates on Bergman spaces induced by doubling weights	5

Ground state solution for the nonlinear Klein–Gordon equation coupled with Born–Infeld theory with critical exponents	5
Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay	5
A series expansion for generalized harmonic functions	5
Starlike functions associated with the generalized Koebe function	5
Fractional glassy relaxation and convolution modules of distributions	5
Semiclassical spectral analysis of the Bochner–Schrödinger operator on symplectic manifolds of bounded geometry	5
Lower bounds on the radius of spatial analyticity for the Kawahara equation	5
On the number of concentrating solutions of a fractional Schrödinger–Poisson system with doubly critical growth	5
Threshold condensation to singular support for a Riesz equilibrium problem	5
$$C^*$$-fermi systems and detailed balance	5
Existence of solutions for some systems of integro-differential equations with transport and superdiffusion	5
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions	5
Algebraic approach to the Dunkl–Coulomb problem and Dunkl oscillator in arbitrary dimensions	5
Inverse resonance scattering for Dirac operators on the half-line	5
On Mellin transforms of solutions of differential equation $$\chi ^{(n)}(x)+\gamma _{n}x\chi (x)=0$$	5
Padé approximants on Riemann surfaces and KP tau functions	5
The initial-boundary value problems of the new two-component generalized Sasa–Satsuma equation with a $$4\times 4$$ matrix Lax pair	5
Riesz bases of normalized reproducing kernels in Fock type spaces	5
Positive definiteness for 4th order symmetric tensors and applications	5
Entire solutions of several quadratic binomial and trinomial partial differential-difference equations in $$ {\mathbb {C}}^2 $$	5
An interior inverse Sturm–Liouville problem on a time scale	4
Liouville theorems for nonnegative solutions to static weighted Schrödinger–Hartree–Maxwell type equations with combined nonlinearities	4
A Liouville type theorem for the stationary compressible Navier–Stokes equations	4
Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents	4
Coupled discrete Sawada–Kotera equations and their explicit quasi-periodic solutions	4
$${\mathbb {L}}^p$$-solutions of deterministic and stochastic convective Brinkman–Forchheimer equations	4
Starlikeness of certain non-univalent functions	4
A concept of weak Riesz energy with application to condensers with touching plates	4
Fekete–Szegö problem for Bavrin’s functions and close-to-starlike mappings in $${\mathbb {C}}^{n}$$	4
Solvability of some integro-differential equations with anomalous diffusion and transport	4
On solutions for several systems of complex nonlinear partial differential equations with two variables	4
Successive coefficients of functions in classes defined by subordination	4
Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature	4
Realizations of Lie algebras on the line and the new group classification of (1+1)-dimensional generalized nonlinear Klein–Gordon equations	4
Well-posedness for Hardy–Hénon parabolic equations with fractional Brownian noise	4
Approximation of discontinuous functions by Kantorovich exponential sampling series	4
Exact solutions and conservation laws of multi Kaup–Boussinesq system with fractional order	4
Fischer–Marsden conjecture on real hypersurfaces in the complex hyperbolic two-plane Grassmannians	4
On two families of Funk-type transforms	3
Multiple solutions for Robin (p, q)-equations plus an indefinite potential and a reaction concave near the origin	3
Nonexistence for nonlinear hyperbolic inequalities in an annulus	3
Envelope of plurisubharmonic functions in Cegrell’s classes	3
Kinky breather-wave and lump solutions to the (2 + 1)-dimensional Burgers equations	3
Non-commutative integrability, exact solvability and the Hamilton–Jacobi theory	3
Bidiagonal factorization of tetradiagonal matrices and Darboux transformations	3
Fractional supersymmetric quantum mechanics and lacunary Hermite polynomials	3
Weighted integrability of Fourier-Dunkl transforms and generalized Lipschitz classes	3
Bernstein spaces on Siegel CR manifolds	3
Singular integral operators and a $${\overline{\partial }}$$-problem for $$(\varphi ,\psi )$$-harmonic functions	3
Dispersion for Schrödinger operators on regular trees	3
Complex symmetric weighted composition operators on Bergman spaces and Lebesgue spaces	3
Some Liouville theorems for Hénon type equations in half-space with nonlinear boundary value conditions and finite Morse indices	3
Fast computation of elastic and hydrodynamic potentials using approximate approximations	3
Infinite order $$\Psi $$DOs: composition with entire functions, new Shubin-Sobolev spaces, and index theorem	3
A geometric construction of isospectral magnetic graphs	3
On the Koebe Quarter Theorem for certain polynomials	3
On the role of the point at infinity in Deny’s principle of positivity of mass for Riesz potentials	3
Integrability structures of the generalized Hunter–Saxton equation	3
On spectral asymptotic of quasi-exactly solvable quartic potential	3
Holomorphic functions, relativistic sum, Blaschke products and superoscillations	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
A new application of almost increasing sequences to factored infinite series	3
KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model	3
A sequence of Appell polynomials and the associated Jakimovski–Leviatan operators	3
Two forms of the discrete equations and the Noether theorems for nonautonomous Birkhoffian systems	3
Nehari manifold and fractional Dirichlet boundary value problem	3
Kowalewski top and complex Lie algebras	3
On semi-exponential Gauss–Weierstrass operators	3
Positive energy representations of Sobolev diffeomorphism groups of the circle	3
Spectral and soliton structures of the Sasa–Satsuma higher-order nonlinear Schrödinger equation	3
Positivity of certain classes of functions related to the Fox H-functions with applications	3
On perturbations of dynamical semigroups defined by covariant completely positive measures on the semi-axis	3
Normalized solutions to fractional mass supercritical NLS systems with Sobolev critical nonlinearities	3
Ground state solutions for a class of elliptic Dirichlet problems involving the p(x)-Laplacian	3
RKH spaces of Brownian type defined by Cesàro–Hardy operators	3
Almost-Hermitian random matrices and bandlimited point processes	3
Positive Liouville theorem and asymptotic behaviour for (p, A)-Laplacian type elliptic equations with Fuchsian potentials in Morrey space	3