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

R. SABRY

Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, New Damietta 34517, Damietta, Egypt

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https://doi.org/10.1142/S012918310801328XCited by:1 (Source: Crossref)

Abstract

An improved homogeneous balance (IHB) method is introduced. On using the IHB method, a new auto-Bäcklund transformation and multi-solitonic solutions were obtained for a generalized variable-coefficient Burgers equation. The obtained solitary waves were found to propagate with a variable propagating speed which depends on the coefficients of the studied model. Also, fusion of two single solitary waves into a one-resonant solitary wave is pointed out.

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