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Solutions for non-isospectral variable coefficient KdV equation

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By bilinear approach we derive N-soliton-like solutions for a variable coefficient KdV equation with some Xdependent coefficients. This equation can be considered as a non-isospectral variable coefficient KdV equation. Solutions in Hirota's form and Wronskian form are given, respectively.

non-isospectral variable coefficient KdV equationHirota methodWronskian technique

ZHU Xiao-ying、ZHANG Da-jun、CHEN Deng-yuan

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

国家自然科学基金国家自然科学基金Shanghai Leading Academic Discipline Project

1037107010671121J50101

2010

10.1007/s11741-010-0669-1

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(6)
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