Infinitesimal transformations about soliton solutions of sine–Gordon and modified Korteweg–de Vries equations

DOI10.1063/1.526527zbMath0563.35075OpenAlexW1998589208MaRDI QIDQ3676568

A. A. Rangwala, Jyoti A. Rao

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526527

zbMATH Keywords

Bäcklund transformationssoliton solutionssine-GordonZakharov-Shabat systemsKorteweg- de VriesInfinitesimal transformations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Zeros of Racah coefficients and the Pell equation

Cites Work

• The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons
• Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
• Recursion operators for infinitesimal transformations and their inverses for certain nonlinear evolution equations
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• Invariances and Conservation Laws of the Korteweg‐de Vries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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