Found 1,052 Documents (Results 1–100)
Lax integrability and nonlinear dispersive wave phenomenon for the (3 + 1) dimensional Kudryashov-Sinelshchikov equation. (English) Zbl 07927101
Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies. (English) Zbl 07915235
A hybrid variational method for beam propagation and interaction in a graded-index nonlinear waveguide. (English) Zbl 07900548
Higher-dimensional integrable deformations of the classical Boussinesq-Burgers system. (English) Zbl 07887673
Wronskian solutions, bilinear Bäcklund transformation, quasi-periodic waves and asymptotic behaviors for a \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation. (English) Zbl 07881979
Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model. (English) Zbl 07877977
Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, \(N\)-soliton and other solutions. (English) Zbl 07874076
Bright solitons and interaction in the higher-order Gross-Pitaevskii equation investigated with Hirota’s bilinear method. (English) Zbl 07866165
Collision dynamics of magnetoacoustic waves in a spin-1/2 dense quantum degenerate plasma: analysis of overtaking interactions. (English) Zbl 07858879
Action-angle variables and conservation laws expressed in terms of scattering data for an integrable hierarchy associated with the Zakharov-Ito system. (English) Zbl 1542.37064
The periodic \(N\) breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties. (English) Zbl 1531.35115
Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices. (English) Zbl 1533.37152
Multi-solitons and integrability for a \((2+1)\)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1529.35456
Nonlocal symmetries and solutions of the \((2+1)\) dimension integrable Burgers equation. (English) Zbl 1528.35153
Explicit solutions for the conformable regularized long wave Burger’s equation. (English) Zbl 07919797
Optical solitons for the Fokas-Lenells equation with beta and M-truncated derivatives. (English) Zbl 07904088
Fractional soliton and semirational solutions of a fractional two-component generalized Hirota equation. (English) Zbl 07901649
Lie symmetry analysis, optimal system, symmetry reductions and analytic solutions for a \((2+1)\)-dimensional generalized nonlinear evolution system in a fluid or a plasma. (English) Zbl 1541.35405
Exact solutions of the stochastic Maccari system forced by multiplicative noise. (English) Zbl 1536.35294
The impact of the Wiener process on solutions of the potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid. (English. Russian original) Zbl 07824538
Theor. Math. Phys. 217, No. 2, 1717-1725 (2023); translation from Teor. Mat. Fiz. 217, No. 2, 348-357 (2023).
Multisoliton and general Wronskian solutions of a variable-coefficient Korteweg-de Vries equation. (English) Zbl 1536.35299
The Riccati-Bernoulli subsidiary ordinary differential equation method to the coupled Higgs field equation. (English) Zbl 1532.35394
The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication. (English) Zbl 1532.35413
On the differential-difference sine-Gordon equation with an integral type source. (English) Zbl 1538.34049
The soliton solutions for the (4 + 1)-dimensional stochastic Fokas equation. (English) Zbl 1530.35105
A novel convenient finite difference method for shallow water waves derived by fifth-order Korteweg and de-Vries-type equation. (A novel convenient finite difference method for shallow water waves derived by fifth-order Kortweg and de-Vries-type equation.) (English) Zbl 1531.65120
From decoupled integrable models to coupled ones via a deformation algorithm. (English) Zbl 1529.35428
Phase transition from soliton to breather, soliton-breather molecules, breather molecules of the Caudrey-Dodd-Gibbon equation. (English) Zbl 1535.81258
Rational solitons and rogue waves for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation. (English) Zbl 1534.81063
Spatial decay of multi-solitons of the generalized Korteweg-de Vries and nonlinear Schrödinger equations. (English) Zbl 1526.35056
On the Poisson structure and action-angle variables for the complex modified Korteweg-de Vries equation. (English) Zbl 07733883
Rogue wave solutions of \((3 + 1)\)-dimensional Kadomtsev-Petviashvili equation by a direct limit method. (English) Zbl 1519.35058
Multisolitons are the unique constrained minimizers of the KdV conserved quantities. (English) Zbl 1519.35275
Line-rogue waves, transformed nonlinear waves and their interactions for a \((3+1)\)-dimensional Korteweg-de Vries equation in a fluid. (English) Zbl 1527.35346
Dark beam excitations in the defocusing \((2+1)\)-dimensional Zakharov system. (English) Zbl 1527.83044
Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger’s equation. (English) Zbl 1527.81044
Breather-to-soliton conversions and their mechanisms of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation. (English) Zbl 1540.35358
Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation. (English) Zbl 1516.35353
Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications. (English) Zbl 07702457
Numerical solution of Korteweg-de Vries equation using discrete least squares meshless method. (English) Zbl 1540.65418
Solving nonlinear partial differential equations of special kinds of 3rd order using balance method and its models. (English) Zbl 1519.35271
Solitons of the \((1 + 1)\)- and \((2 + 1)\)-dimensional chiral nonlinear Schrodinger equations with the Jacobi elliptical function method. (English) Zbl 1515.35259
MSC:
35Q55
Multisoliton solutions of the two-component Camassa-Holm equation and its reductions. (English. Russian original) Zbl 1516.35362
Theor. Math. Phys. 214, No. 3, 308-333 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 359-386 (2023).
Dispersive propagation of optical solitions and solitary wave solutions of Kundu-Eckhaus dynamical equation via modified mathematical method. (English) Zbl 1524.35170
Construction of complexiton-type solutions using bilinear form of Hirota-type. (English) Zbl 07677987
Modulational instability and discrete localized modes in two coupled atomic chains with next-nearest-neighbor interactions. (English) Zbl 1509.82029
Existence theories and exact solutions of nonlinear PDEs dominated by singularities and time noise. (English) Zbl 1511.35310
Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves. (English) Zbl 1525.76022
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Dynamical behavior of cancer cell densities in two dimensional domain by the representation theory of solitons. (English) Zbl 1519.92041
Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112
Analysis of a population model with advection and an autocatalytic-type growth. (English) Zbl 1505.92166
Rational solutions and rogue waves of the generalized \((2+1)\)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1540.35360
The nonlinear vibration and dispersive wave systems with cross-kink and solitary wave solutions. (English) Zbl 1541.35124
Chiral solitons of \((2+1)\)-dimensional stochastic chiral nonlinear Schrödinger equation. (English) Zbl 1540.35095
Nonlinear dynamic behaviors of the generalized (3+1)-dimensional KP equation. (English) Zbl 1534.35324
An expansion based on sine-Gordon equation to solve KdV and modified KdV equations in conformable fractional forms. (English) Zbl 07801881
Lie symmetry analysis, exact solutions, conservation laws of variable-coefficients Calogero-Bogoyavlenskii-Schiff equation. (English) Zbl 1532.35021
Diverse exact soliton solutions of the time fractional Clannish random Walker’s parabolic equation via dual novel techniques. (English) Zbl 1517.35247
Integrable delay-difference and delay-differential analogs of the KdV, Boussinesq, and KP equations. (English) Zbl 1508.37090
The analytical solutions of the stochastic fractional RKL equation via Jacobi elliptic function method. (English) Zbl 1507.35350
Exotical solitons for an intrinsic fractional circuit using the sine-cosine method. (English) Zbl 1504.35521
A new \((3+1)\)-dimensional Sakovich equation in nonlinear wave motion: Painlevé integrability, multiple solitons and soliton molecules. (English) Zbl 1504.35122
Collisions of three higher order dark double- and single-hump solitons in optical fiber. (English) Zbl 1498.78044
Exact traveling wave solutions of the loaded modified Korteweg-de Vries equation. (English) Zbl 1498.35469
Semi-analytical and numerical study on equatorial Rossby solitary waves under non-traditional approximation. (English) Zbl 1513.76159
Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 69-92 (2022).
\(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles. (English) Zbl 1498.35013
Application of group methods in solving wave equations. (English) Zbl 1498.35020
Giri, Debasis (ed.) et al., Proceedings of the seventh international conference on mathematics and computing, ICMC 2021, Shibpur, India, March 2–5, 2021. Singapore: Springer. Adv. Intell. Syst. Comput. 1412, 869-878 (2022).
The exact solutions for fractional-stochastic Drinfel’d-Sokolov-Wilson equations using a conformable operator. (English) Zbl 1498.60250
A (2+1)-dimensional modified dispersive water-wave (MDWW) system: Lie symmetry analysis, optimal system and invariant solutions. (English) Zbl 1504.35379
Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles. (English) Zbl 1496.35142
Fractional-stochastic solutions for the generalized \((2+1)\)-dimensional nonlinear conformable fractional Schrödinger system forced by multiplicative Brownian motion. (English) Zbl 1495.35180
Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English) Zbl 1504.35386
Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 1504.35448
A differential-difference hierarchy related to the Toda lattice and its inverse scattering transformation. (English) Zbl 1499.37112
The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1495.37059
Reviewer: Arsen Melikyan (Brasília)
Dark soliton solutions for a variable coefficient higher-order Schrödinger equation in the dispersion decreasing fibers. (English) Zbl 1491.35118
Integration of the differential-difference sine-Gordon equation with a self-consistent source. (English. Russian original) Zbl 1515.37072
Theor. Math. Phys. 210, No. 3, 327-336 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 375-386 (2022).
Dust-acoustic solitary wave solutions for mixed nonlinearity modified Korteweg-de Vries dynamical equation via analytical mathematical methods. (English) Zbl 1492.35251
On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. (English) Zbl 1507.35233
Orbital stability of KdV multisolitons in \(H^{-1}\). (English) Zbl 1509.35264
Reviewer: Piotr Biler (Wrocław)
Investigation on the single and multiple dromions for nonlinear telegraph equation in electrical transmission line. (English) Zbl 1482.35068
Novel travelling wave structures for \((2+1)\)-dimensional Sawada-Kotera equation. (English) Zbl 1479.35207
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