ON IMPROVED HOMOGENEOUS BALANCE METHOD, AUTO-BÄCKLUND TRANSFORMATION AND MULTI-SOLITONIC SOLUTIONS OF A VARIABLE-COEFFICIENT BURGERS EQUATION

DOI10.1142/S012918310801328XzbMath1175.35127MaRDI QIDQ3631048

R. Sabry

Publication date: 5 June 2009

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

homogeneous balance methodauto-Bäcklund transformationvariable-coefficient Burgers equationsingle and multiple solitary wave solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)

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Cites Work

• An auto-Bäcklund transformation and exact solutions to a generalized KdV equation with variable coefficients and their applications
• Soliton caustics
• Exact travelling wave solutions for the generalized shallow water wave equation.
• On Bäcklund transformation for a generalized Burgers equation and solitonic solutions
• New exact solutions for a generalized variable coefficients 2D KdV equation
• Transformation properties of a variable-coefficient Burgers equation
• Soliton fission and fusion: Burgers equation and Sharma-Tasso-Olver equation
• Exact solutions for a compound KdV-Burgers equation
• Breather trapping mechanism in piecewise homogeneous DNA
• Similarity Solutions of a Generalized Burgers Equation
• Geometrical and diffusive effects in nonlinear acoustic propagation over long ranges
• Bäcklund transformations for nonlinear parabolic equations: the general results
• Auto-Bäcklund transformation and similarity reductions for general variable coefficient KdV equations

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