THE BREATHER WAVE SOLUTIONS, M-LUMP SOLUTIONS AND SEMI-RATIONAL SOLUTIONS TO A (2+1)-DIMENSIONAL GENERALIZED KORTEWEG-DE VRIES EQUATION

DOI10.11948/20190011zbMath1464.35292OpenAlexW2997906376MaRDI QIDQ5858022

Yi Chen, Hui Wang, Shou-Fu Tian, Tian-Tian Zhang

Publication date: 9 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190011

zbMATH Keywords

bilinear formhybrid solutionslump solutionsbreather wave solutionsa (2+1)-dimensional generalized Korteweg-de Vries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (1)

Abundant rogue wave solutions for the \((2 + 1)\)-dimensional generalized Korteweg-de Vries equation

Cites Work

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• On quasiperiodic wave solutions and integrability to a generalized \((2+1)\)-dimensional Korteweg-de Vries equation
• Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
• Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation
• Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
• Asymptotic behavior of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
• Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval
• Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
• Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
• Non-autonomous matter-wave solitons in hybrid atomic-molecular Bose-Einstein condensates with tunable interactions and harmonic potential
• Lie symmetry analysis, conservation laws and analytical solutions of the time-fractional thin-film equation
• Infinite propagation speed of a weakly dissipative modified two-component Dullin-Gottwald-Holm system
• Solitary wave, breather wave and rogue wave solutions of an inhomogeneous fifth-order nonlinear Schrödinger equation from Heisenberg ferromagnetism
• Solitary waves, homoclinic breather waves and rogue waves of the (3 + 1)-dimensional Hirota bilinear equation
• Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
• Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
• Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation
• Integrability aspects of some two-component KdV systems
• Rogue waves, bright-dark solitons and traveling wave solutions of the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
• Lump-type solutions and interaction solutions in the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
• Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions
• Breather waves and rational solutions in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation
• Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation
• Lump wave and hybrid solutions of a generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles
• Lump solutions to the Kadomtsev-Petviashvili equation
• Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions
• Double Wronskian Solution and Soliton Properties of the Nonisospectral BKP Equation
• On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
• Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
• Solitons and rational solutions of nonlinear evolution equations
• Two-dimensional lumps in nonlinear dispersive systems
• The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
• Characteristics of the breather and rogue waves in a (2+1)-dimensional nonlinear Schrödinger equation
• Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
• Measuring single-shot modulation instability and supercontinuum spectra at megahertz rates
• Solitons to rogue waves transition, lump solutions and interaction solutions for the (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation in fluid dynamics
• On the breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation
• LIE SYMMETRY ANALYSIS, CONSERVATION LAWS AND EXACT SOLUTIONS OF FOURTH-ORDER TIME FRACTIONAL BURGERS EQUATION
• THE NEW EXACT SOLUTIONS OF VARIANT TYPES OF TIME FRACTIONAL COUPLED SCHRÖDINGER EQUATIONS IN PLASMA PHYSICS
• Solitary Wave and Quasi-Periodic Wave Solutions to a (3+1)-Dimensional Generalized Calogero-Bogoyavlenskii-Schiff Equation
• On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
• Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
• Symmetries and differential equations

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