Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
type: Item
instance of: scholarly article
title: Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
zbMATH Open document ID: 1403.35259
author: Shouting Chen
author: Wen-Xiu Ma
published in: Frontiers of Mathematics in China
publication date: 2018-10-04T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K40
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6947213
zbMATH Keywords: symbolic computation
zbMATH Keywords: lump solution
zbMATH Keywords: soliton theory
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s11464-018-0694-z
OpenAlex ID: W2792856061
cites work: Q3995225
cites work: Memories of Hirota’s method: application to the reduced Maxwell–Bloch system in the early 1970s
cites work: The new integrable symplectic map and the symmetry of integrable nonlinear lattice equation
cites work: Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
cites work: On the combinatorics of the HirotaD-operators
cites work: Q3463196
cites work: Q4828547
cites work: A new conservation theorem
cites work: The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
cites work: One- and two-soliton solutions to a new KdV evolution equation with nonlinear and nonlocal terms for the water wave problem
cites work: The AKNS hierarchy as symmetry constraint of the KP hierarchy
cites work: A new integrable symplectic map by the binary nonlinearization to the super AKNS system
cites work: Binary Bargmann symmetry constraint associated with 3×3 discrete matrix spectral problem
cites work: Resonant multiple wave solutions to a new \((3+1)\)-dimensional generalized Kadomtsev-Petviashvili equation: linear superposition principle
cites work: Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions
cites work: Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation
cites work: Wronskian solutions to integrable equations
cites work: Lump solutions to the Kadomtsev-Petviashvili equation
cites work: Lump-type solutions to the \((3+1)\)-dimensional Jimbo-Miwa equation
cites work: Conservation laws by symmetries and adjoint symmetries
cites work: Linear superposition principle applying to Hirota bilinear equations
cites work: Lump solutions to dimensionally reduced \(p\)-gKP and \(p\)-gBKP equations
cites work: Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
cites work: Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
cites work: Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
cites work: Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations
cites work: Q3732103
cites work: On conservation laws by Lie symmetry analysis for (2+1)-dimensional Bogoyavlensky-Konopelchenko equation in wave propagation
cites work: Two-dimensional lumps in nonlinear dispersive systems
cites work: Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations
cites work: Linear superposition principle of hyperbolic and trigonometric function solutions to generalized bilinear equations
cites work: New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
cites work: Rogue wave for the (\(2 + 1\))-dimensional Kadomtsev-Petviashvili equation
cites work: A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property
cites work: Lump solutions to the BKP equation by symbolic computation
cites work: Abundant lump-type solutions of the Jimbo-Miwa equation in \((3+1)\)-dimensions
cites work: Mixed lump-kink solutions to the BKP equation
cites work: Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
cites work: Hybrid solutions of (3 + 1)-dimensional Jimbo-Miwa equation
cites work: Mixed lump-kink solutions to the KP equation
cites work: A Bargmann system and the involutive solutions associated with a new 4-order lattice hierarchy
cites work: Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions
DOI: 10.1007/S11464-018-0694-Z
description: scientific article; zbMATH DE number 6947213