Lump and lump-multi-kink solutions in the (3+1)-dimensions

DOI10.1016/J.CNSNS.2021.106103MaRDI QIDQ6495265

Xing Lü, Si-Jia Chen

Publication date: 30 April 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

lump solutions(3+1)-dimensional nonlinear evolution equationslump-multi-kink solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear higher-order PDEs (35G20) Other special methods applied to PDEs (35A25)

Related Items (2)

Interaction solutions of the \((2+1)\)-dimensional Sawada-Kotera equation ⋮ Lump solution, breather soliton and more soliton solutions for a \((2 + 1)\)-dimensional generalized Benjamin-Ono equation

Cites Work

• Unnamed Item
• Unnamed Item
• Envelope bright- and dark-soliton solutions for the Gerdjikov-Ivanov model
• One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem
• Study of lump dynamics based on a dimensionally reduced Hirota bilinear equation
• Lump and lump-kink solutions of the \((3+1)\)-dimensional Jimbo-Miwa and two extended Jimbo-Miwa equations
• Rational solutions and lump solutions to a non-isospectral and generalized variable-coefficient Kadomtsev-Petviashvili equation
• Interaction phenomena between a lump and other multi-solitons for the \((2+1)\)-dimensional BLMP and Itô equations
• Bilinear transformation method
• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• Bilinear Bäcklund transformations and explicit solutions of a \((3+1)\)-dimensional nonlinear equation
• Interaction behavior associated with a generalized \((2+1)\)-dimensional Hirota bilinear equation for nonlinear waves
• Lump, mixed lump-stripe and rogue wave-stripe solutions of a \((3+1)\)-dimensional nonlinear wave equation for a liquid with gas bubbles
• Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
• Lie group analysis, solitons, self-adjointness and conservation laws of the modified Zakharov-Kuznetsov equation in an electron-positron-ion magnetoplasma
• Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system
• Lump and lump-soliton solutions to the Hirota-Satsuma-Ito equation
• Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation
• Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation
• Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics
• Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws
• Novel evolutionary behaviors of the mixed solutions to a generalized Burgers equation with variable coefficients
• Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation
• Evolution of breathers and interaction between high-order lump solutions and \(N\)-solitons (\(N \rightarrow \infty\)) for breaking soliton system
• New general interaction solutions to the KPI equation via an optional decoupling condition approach
• Multi-exponential wave solutions to two extended Jimbo-Miwa equations and the resonance behavior
• Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation
• Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation
• Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber
• Lump solutions to the Kadomtsev-Petviashvili equation
• N-Soliton Solutions of Model Equations for Shallow Water Waves
• Breather wave solutions for the Kadomtsev‐Petviashvili equation with variable coefficients in a fluid based on the variable‐coefficient three‐wave approach
• Interaction solutions to nonlinear partial differential equations via Hirota bilinear forms: one-lump-multi-stripe and one-lump-multi-soliton types

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