Soliton solution for a highly nonlinear difference-differential equation

DOI10.1016/0960-0779(93)90011-OzbMath0771.35060OpenAlexW2035501911WikidataQ115362441 ScholiaQ115362441MaRDI QIDQ2366772

Kazuaki Narita

Publication date: 27 September 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(93)90011-o

zbMATH Keywords

Hirota's methoddiscrete KdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Additive difference equations (39A10)

Related Items (11)

Decoupling of the \(N\)-soliton solution for a new discrete MKdV equation ⋮ Generalizing homotopy analysis method to solve Lotka-Volterra equation ⋮ Construct solitary solutions of discrete hybrid equation by Adomian decomposition method ⋮ Generalized differential transform method to differential-difference equation ⋮ Adomian decomposition and Padé approximate for solving differential-difference equation ⋮ Solution of the differential-difference equations by optimal homotopy asymptotic method ⋮ A generalized coth-function method for exact solution of differential-difference equation ⋮ Mixed lump-soliton solutions of the \((3+1)\)-dimensional soliton equation ⋮ Applying homotopy analysis method for solving differential-difference equation ⋮ ADM-Padé technique for the nonlinear lattice equations ⋮ 1,2-rational \(N\)-soliton solutions for difference-differential equations related to the Volterra equation

Cites Work

• Invertible changes of variables generated by Bäcklund transformations
• Bäcklund Transformation for the Exponential Lattice
• Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
• The Toda lattice. II. Existence of integrals

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