Singular solutions in Casoratian form for two differential-difference equations

DOI10.1016/j.chaos.2004.06.034zbMath1078.39018OpenAlexW2143199567MaRDI QIDQ1776631

Da-jun Zhang

Publication date: 12 May 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.034

zbMATH Keywords

KdV equationToda latticeKorteweg-de Vries equationsingular solutionsdifferential-difference equationdiscrete evolution equationssingular oscillation pointsolutions in Casoratian form

Mathematics Subject Classification ID

Related Items (15)

The modified two-dimensional Toda lattice with self-consistent sources ⋮ Generalizing homotopy analysis method to solve Lotka-Volterra equation ⋮ Construct solitary solutions of discrete hybrid equation by Adomian decomposition method ⋮ Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system ⋮ The long wave limiting of the discrete nonlinear evolution equations ⋮ Generalized differential transform method to differential-difference equation ⋮ A Note on Casoratian Solutions to Two-Dimensional Toda Lattice ⋮ Adomian decomposition and Padé approximate for solving differential-difference equation ⋮ Solution of the differential-difference equations by optimal homotopy asymptotic method ⋮ Breathers and limit solutions of the nonlinear lumped self-dual network equation ⋮ A generalized coth-function method for exact solution of differential-difference equation ⋮ The modified semi-discrete two-dimensional Toda lattice with self-consistent sources ⋮ Generalized double Wronskian solutions of the third-order isospectral AKNS equation ⋮ Applying homotopy analysis method for solving differential-difference equation ⋮ ADM-Padé technique for the nonlinear lattice equations

Cites Work

• Soliton solution of three differential-difference equations in Wronskian form
• The \(N\)-soliton solutions of some soliton equations with self-consistent sources
• Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
• The \(N\)-soliton solutions of the sine-Gordon equation with self-consistent sources
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• Solitons and rational solutions of nonlinear evolution equations
• The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form
• Soliton solutions of the Korteweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique
• Negaton and positon solutions of the KdV and mKdV hierarchy
• Negatons, positons, rational-like solutions and conservation laws of the Korteweg–de Vries equation with loss and non-uniformity terms
• The Multisoliton Solutions of the KP Equation with Self-consistent Sources
• Mixed rational soliton solutions of two differential-difference equations in Casorati determinant form
• TheN-Soliton Solutions for the Modified KdV Equation with Self-Consistent Sources
• Positons for the Toda lattice and related spectral problems
• Unnamed Item

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