The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
type: Item
instance of: scholarly article
title: The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
zbMATH Open document ID: 1387.35520
author: Bangqing Li
author: Yulan Ma
author: Lipo Mo
author: Ying-Ying Fu
publication date: 2018-03-09T00:00:00Z
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35Q83
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6848389
zbMATH Keywords: \((2+1)\)-dimensional Vakhnenko equation
zbMATH Keywords: \(N\)-loop soliton solution
zbMATH Keywords: Improved Hirota method
zbMATH Keywords: Soliton interactions
describes a project that uses: SYMMGRP
MaRDI profile type: Publication
full work available at URL: j.camwa.2017.04.036
OpenAlex ID: W2617293946
cites work: Q3994822
cites work: Solitons in a nonlinear model medium
cites work: The \(N\)-soliton solution of a generalised Vakhnenko equation
cites work: The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).
cites work: The stability of solutions of Vakhnenko's equation
cites work: The two loop soliton solution of the Vakhnenko equation
cites work: High-frequency soliton-like waves in a relaxing medium
cites work: Q4719521
cites work: The calculation of multi-soliton solutions of the Vakhnenko equation by the inverse scattering method.
cites work: A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method
cites work: The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation
cites work: Dynamical understanding of loop soliton solution for several nonlinear wave equations
cites work: A method for constructing nontraveling wave solutions for (1+1)-dimensional evolution equations
cites work: New application of \((G'/G)\)-expansion method to a nonlinear evolution equation
cites work: A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation
cites work: Explicit quasi-periodic solutions of the Vakhnenko equation
cites work: Group analysis of the modified generalized Vakhnenko equation
cites work: N-soliton solutions for the Vakhnenko equation and its generalized forms
cites work: Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions
cites work: The inverse problem for some special spectral data
cites work: Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
cites work: The interaction solitons for the complex short pulse equation
cites work: Dynamical behavior of loop solutions for the \(K(2, 2)\) equation
cites work: A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
cites work: A note on loop-soliton solutions of the short-pulse equation
cites work: Loop soliton interaction in an integrable nonlinear telegraphy model: reciprocal and Bäcklund transformations
cites work: Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
cites work: A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
cites work: Q4828547
cites work: Symbolic software for soliton theory
cites work: Symbolic methods to construct exact solutions of nonlinear partial differential equations
cites work: On classes of integrable systems and the Painlevé property
cites work: Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
cites work: Multiple-front solutions for the Burgers equation and the coupled Burgers equations
cites work: A refined invariant subspace method and applications to evolution equations
cites work: Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system
cites work: Resonant behavior of multiple wave solutions to a Hirota bilinear equation
cites work: Dynamic behaviors and soliton solutions of the modified Zakharov-Kuznetsov equation in the electrical transmission line
cites work: Mixed-type soliton solutions for the \(N\)-coupled Hirota system in an optical fiber
DOI: 10.1016/J.CAMWA.2017.04.036
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 6848389