\(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation
type: Item
instance of: scholarly article
title: \(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation
zbMATH Open document ID: 1417.35165
author: Wenguang Cheng
author: Tian Zhou Xu
published in: Applied Mathematics Letters
publication date: 2019-04-26T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 7048180
zbMATH Keywords: combined KdV-negative-order KdV equation
zbMATH Keywords: \(N\)-th Bäcklund transformation
zbMATH Keywords: soliton-cnoidal wave interaction solution
zbMATH Keywords: residual symmetry
zbMATH Keywords: consistent Riccati expansion
MaRDI profile type: Publication
full work available at URL: j.aml.2019.02.010
OpenAlex ID: W2916682544
cites work: The Painlevé property for partial differential equations
cites work: Integrability and exact solutions of a two-component Korteweg-de Vries system
cites work: Integrability aspects of some two-component KdV systems
cites work: Q3995225
cites work: Applications of the Jacobi elliptic function method to special-type nonlinear equations
cites work: Nonlocal symmetries related to Bäcklund transformation and their applications
cites work: Consistent Riccati Expansion for Integrable Systems
cites work: Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
cites work: Q4273954
cites work: Applications of symmetry methods to partial differential equations
cites work: Symmetry analysis and reductions of the two-dimensional generalized Benney system via geometric approach
cites work: Bosonization, singularity analysis, nonlocal symmetry reductions and exact solutions of supersymmetric KdV equation
cites work: Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
cites work: The symbolic computation of integrability structures for partial differential equations
cites work: Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation
cites work: Residual symmetries and soliton-cnoidal wave interaction solutions for the negative-order Korteweg-de Vries equation
cites work: Bäcklund transformation and CRE solvability for the negative-order modified KdV equation
cites work: Bäcklund transformation and soliton-cnoidal wave interaction solution for the coupled Klein-Gordon equations
cites work: Residual symmetries, \(n\)th Bäcklund transformation and interaction solutions for (2+1)-dimensional generalized Broer-Kaup equations
cites work: Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
cites work: Nonlocal symmetry and exact solutions of the \((2+1)\)-dimensional breaking soliton equation
cites work: Symmetry reduction related with nonlocal symmetry for Gardner equation
cites work: New interaction solutions from residual symmetry reduction and consistent Riccati expansion of the \((2+1)\)-dimensional Boussinesq equation
cites work: Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system
cites work: Nonlocal symmetry and interaction solutions of a generalized Kadomtsev-Petviashvili equation
cites work: Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a \((2 + 1)\)-dimensional Korteweg-de Vries equation
cites work: CRE Solvability, Nonlocal Symmetry and Exact Interaction Solutions of the Fifth-Order Modified Korteweg-de Vries Equation
cites work: CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative \((2+1)\)-dimensional AKNS equation
cites work: Nonlocal symmetry, CRE solvability and soliton-cnoidal solutions of the \((2+1)\)-dimensional modified KdV-Calogero-Bogoyavlenkskii-Schiff equation
cites work: Nonlocal symmetries, conservation laws and interaction solutions for the classical Boussinesq-Burgers equation
cites work: A new integrable equation that combines the KdV equation with the negative-order KdV equation
cites work: Negative powers of Olver recursion operators
DOI: 10.1016/J.AML.2019.02.010
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description: scientific article; zbMATH DE number 7048180