Found 681 Documents (Results 1–100)
Large time behavior of 3D functional Brinkman-Forchheimer equations with delay term. (English) Zbl 07910917
Revisiting solutions of the Adler-Bobenko-Suris lattice equations and lattice Boussinesq-type equations. (English. Russian original) Zbl 07908853
Theor. Math. Phys. 219, No. 3, 944-972 (2024); translation from Teor. Mat. Fiz. 219, No. 3, 474-507 (2024).
Cauchy matrix approach for \(\mathrm{H}1^a\) equation in the torqued Adler-Bobenko-Suris lattice list. (English) Zbl 07899385
On homoclinic solutions of nonlinear Laplacian partial difference equations with a parameter. (English) Zbl 07893916
MSC:
39A14
Existence of periodic solutions for a class of \((\phi_1,\phi_2)\)-Laplacian difference system with asymptotically \((p,q)\)-linear conditions. (English) Zbl 07880478
Solutions and continuum limits to nonlocal discrete modified Korteweg-de Vries equations. (English) Zbl 07869358
Connection between the symmetric discrete AKP system and bilinear ABS lattice equations. (English) Zbl 07864744
Consistency around a cube property of Hirota’s discrete KdV equation and the lattice sine-Gordon equation. (English) Zbl 07856328
Asymptotics of the solution of parabolic problems with nonsmooth boundary functions. (English) Zbl 07845762
Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation. (English) Zbl 1537.37095
A generalized sine-Gordon equation: reductions and integrable discretizations. (English) Zbl 1542.37060
Necessary and sufficient conditions for the existence of rational solutions to homogeneous difference equations with constant coefficients. (Russian. English summary) Zbl 1537.39013
On the multiplicity of solutions of a discrete Robin problem with variable exponents. (English) Zbl 1541.39010
Reviewer: Ioannis P. Stavroulakis (Ioannina)
Solution of the non-linear time-fractional Kudryashov-Sinelshchikov equation using fractional reduced differential transform method. (English) Zbl 1540.35452
Spacetime quasiperiodic solutions to a nonlinear Schrödinger equation on \(\mathbb{Z}\). (English) Zbl 1533.39010
Chaotic dynamics in a class of delay controlled partial difference equations. (English) Zbl 1533.37189
Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices. (English) Zbl 1533.37152
Continuum limit related to dispersion managed nonlinear Schrödinger equations. (English) Zbl 1528.35157
Solving the Wave Equation on Discrete Time Scales. arXiv:2409.16424
Preprint, arXiv:2409.16424 [math.AP] (2024).
A study on the domain independence of the Laurent property, the irreducibility and the coprimeness in lattice equations. arXiv:2406.16043
Preprint, arXiv:2406.16043 [math-ph] (2024).
Propagation of Waves from Finite Sources Arranged in Line Segments within an Infinite Triangular Lattice. arXiv:2405.18806
Preprint, arXiv:2405.18806 [math.AP] (2024).
Non-trivial solutions for a partial discrete Dirichlet nonlinear problem with \(p\)-Laplacian. (English) Zbl 07919368
MSC:
39A14
Chaotic behaviors of a delay partial difference equation with a delay controller. (English) Zbl 1539.39014
Discretization of the modified Korteweg-de Vries-sine Gordon equation. (English. Russian original) Zbl 1536.37068
Theor. Math. Phys. 217, No. 2, 1700-1716 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 329-347 (2023).
Pullback attractors of nonautonomous lattice difference equations. (English) Zbl 1540.37102
Elaydi, Saber (ed.) et al., Advances in discrete dynamical systems, difference equations and applications. ICDEA 26, Sarajevo, Bosnia and Herzegovina, July 26–30, 2021. Proceedings of the 26th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 416, 299-307 (2023).
On the classification of nonlinear integrable three-dimensional chains via characteristic Lie algebras. (English. Russian original) Zbl 1530.37098
Theor. Math. Phys. 217, No. 1, 1541-1573 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 142-178 (2023).
Discrete potential boundary-value problems of Kirchhoff type. (English) Zbl 1533.39007
Diagana, Toka (ed.) et al., Partial differential equations and applications. Colloquium in honor of Hamidou Touré, Ouagadougou, Burkina Faso, November 5–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 420, 115-137 (2023).
Solving Burger’s and coupled Burger’s equations with Caputo-Fabrizio fractional operator. (English) Zbl 07800644
Existence of nontrivial weak solutions for discrete nonlinear problems in \(n\)-dimensional Hilbert space. (English) Zbl 07793413
Uniform exponential decay of the energy for a fully discrete wave equation with point-wise dissipation. (English) Zbl 1532.39002
On the stable difference scheme for source identification nonlocal elliptic problem. (English) Zbl 1530.65108
Solutions and continuum limits to nonlocal discrete sine-Gordon equations: bilinearization reduction method. (English) Zbl 1529.39020
Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain. (English) Zbl 1528.39004
Non-existence of S-integrable three-point partial difference equations in the lattice plane. (English) Zbl 1528.39006
Reviewer: Giorgio Gubbiotti (Milano)
Multiple periodic solutions of a second-order partial difference equation involving \(p\)-Laplacian. (English) Zbl 1525.39008
Velocity diagram of traveling waves for discrete reaction-diffusion equations. (English) Zbl 1523.39001
A nonlocal graph-PDE and higher-order geometric integration for image labeling. (English) Zbl 1521.39019
Variational approaches to a discrete elliptic problem with a weight. (English) Zbl 1525.39006
Reviewer: Anar Assanova (Almaty)
Parameter uniform fitted mesh finite difference scheme for elliptical singularly perturbed problems with mixed shifts in two dimensions. (English) Zbl 1524.65712
The existence of discrete solitons for the discrete coupled nonlinear Schrödinger system. (English) Zbl 1530.35281
Darboux transformation and exact solutions of a four-component Volterra lattice system. (English) Zbl 1521.37078
Laguerre unitary ensembles with jump discontinuities, PDEs and the coupled Painlevé V system. (English) Zbl 1518.35523
Smooth solutions of hyperbolic equations with translation by an arbitrary vector in the free term. (English. Russian original) Zbl 1516.35258
Differ. Equ. 59, No. 3, 371-376 (2023); translation from Differ. Uravn. 59, No. 3, 368-373 (2023).
Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation. (English) Zbl 1518.39008
An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice. (English) Zbl 1514.37096
Elliptic solutions of Boussinesq type lattice equations and the elliptic \(N\)th root of unity. (English) Zbl 1518.39003
Reviewer: Utkir A. Rozikov (Tashkent)
Multiple results on nontrivial solutions of discrete Kirchhoff type problems. (English) Zbl 1511.39007
Non-abelian hierarchies of compatible maps, associated integrable difference systems and Yang-Baxter maps. (English) Zbl 1515.37080
Existence of ground state solutions to some nonlinear Schrödinger equations on lattice graphs. (English) Zbl 1511.35325
Dissipative lattice dynamical systems. (English) Zbl 1510.37003
Interdisciplinary Mathematical Sciences 22. Singapore: World Scientific (ISBN 978-981-12-6775-8/hbk; 978-981-12-6777-2/ebook). xv, 364 p. (2023).
Generalized ILW hierarchy: solutions and limit to extended lattice GD hierarchy. (English) Zbl 1522.37080
Reviewer: Tihomir Valchev (Sofia)
On local and nonlocal discrete \(p\)-Laplacian equations via Clark’s theorem. (English) Zbl 1525.39005
Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk. (English) Zbl 1510.39005
Triangular recurrences, generalized Eulerian numbers, and related number triangles. (English) Zbl 1509.05015
Exact solitons of an \(N\)-component discrete coupled integrable system. (English. Russian original) Zbl 1516.37127
Theor. Math. Phys. 214, No. 1, 36-71 (2023); translation from Teor. Mat. Fiz. 214, No. 1, 43-80 (2023).
Homoclinic solutions for partial difference equations with mixed nonlinearities. (English) Zbl 1510.39007
Reviewer: Eszter Gselmann (Debrecen)
Existence of meromorphic solutions of systems of partial differential-difference equations. (English) Zbl 1511.39016
Reviewer: Xianjing Dong (Nanjing)
Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm. (English) Zbl 1510.37113
Integrability and solutions for a fourth-order lattice Gel’fand-Dikii equation. (English) Zbl 1506.37095
On the ground state of lattice Schrödinger operators. arXiv:2312.08081
Preprint, arXiv:2312.08081 [math.SP] (2023).
Characterization of entire solutions of systems of quadratic trinomial difference and partial differential difference equations in \(\mathbb{C}^n\). arXiv:2311.00011
Preprint, arXiv:2311.00011 [math.CV] (2023).
The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs. arXiv:2310.08119
Preprint, arXiv:2310.08119 [math.AP] (2023).
Ground state solutions to some Indefinite Nonlinear Schrödinger equations on lattice graphs. arXiv:2302.14608
Preprint, arXiv:2302.14608 [math.AP] (2023).
Exterior diffraction problems for a triangular lattice. arXiv:2301.07888
Preprint, arXiv:2301.07888 [math.AP] (2023).
Search for integrable two-component versions of the lattice equations in the ABS-list. (English) Zbl 07887469
Critical point approaches for discrete anisotropic Kirchhoff type problems. (English) Zbl 1522.39004
A discrete KdV equation hierarchy: continuous limit, diverse exact solutions and their asymptotic state analysis. (English) Zbl 1514.39011
The closeness of localized structures between the Ablowitz-Ladik lattice and discrete nonlinear Schrödinger equations: generalized AL and DNLS systems. (English) Zbl 1507.39012
Sections of the generating series of a solution to a difference equation in a simplicial cone. (English) Zbl 1511.39002
Reviewer: Wolfgang Förg-Rob (Innsbruck)
Continuous dependence on data for a second-order nonhomogeneous difference inclusion. (English) Zbl 1506.39004
Continuous symmetries and integrability of discrete equations. (English) Zbl 1525.39001
CRM Monograph Series 38. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4354-3/hbk; 978-1-4704-7238-2/ebook). xxi, 494 p. (2022).
Reviewer: Giorgio Gubbiotti (Milano)
Integrable boundary conditions for quad equations, open boundary reductions, and integrable mappings. (English) Zbl 1521.39018
On small motions of hydraulic systems containing viscoelastic fluid. (English. Russian original) Zbl 1513.76067
J. Math. Sci., New York 267, No. 6, 716-759 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 172, 48-90 (2019).
On the singularity structure of a discrete modified-Korteweg-deVries equation. (English) Zbl 1507.39011
Smoothness of generalized solutions of the Neumann problem for a strongly elliptic differential-difference equation on the boundary of adjacent subdomains. (English. Russian original) Zbl 1500.35077
J. Math. Sci., New York 265, No. 6, 970-987 (2022); translation from Sovrem. Mat., Fundam. Napravl. 66, No. 2, 272-291 (2020).
Smoothness of generalized solutions of the second and third boundary-value problems for strongly elliptic differential-difference equations. (English. Russian original) Zbl 1498.35561
J. Math. Sci., New York 265, No. 5, 823-838 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 655-671 (2019).
On one damping problem for a nonstationary control system with aftereffect. (English. Russian original) Zbl 1498.49010
J. Math. Sci., New York 265, No. 5, 719-727 (2022); translation from Sovrem. Mat., Fundam. Napravl. 65, No. 4, 547-556 (2019).
Linear integrable systems on quad-graphs. (English) Zbl 1511.37089
Reviewer: Utkir A. Rozikov (Tashkent)
Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits. (English. Russian original) Zbl 1515.37082
Theor. Math. Phys. 211, No. 3, 758-774 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 375-393 (2022).
Reduced differential transform method for the treatment of internal atmospheric waves phenomenon. (English) Zbl 1513.35028
The numerical solution of semidiscrete linear evolution problems on the finite interval using the unified transform method. (English) Zbl 1496.65145
On a class of non-local discrete boundary value problems. (On a class of non-local discrete boundary value problepm.) (English) Zbl 1497.39001
The study of solutions of several systems of nonlinear partial differential difference equations. (English) Zbl 1495.35086
Three positive solutions for a nonlinear partial discrete Dirichlet problem with \((p,q)\)-Laplacian operator. (English) Zbl 1498.39012
Reviewer: Bashir Ahmad (Jeddah)
Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation. (English. French summary) Zbl 1492.35148
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