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

R. Sabry ()
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R. Sabry: Theoretical Physics Group, Physics Department, Faculty of Science, Mansoura University, New Damietta 34517, Damietta, Egypt

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 12, 1821-1827

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.

Keywords: Homogeneous balance method; variable-coefficient Burgers equation; auto-Bäcklund transformation; single and multiple solitary wave solutions (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S012918310801328X

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