A New Asymptotic Approach to Solve Nonlinear Evolution Equations |
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| Authors: | RUAN HangYu LOU SenYue CHEN YiXin |
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| Institution: | 1. Institute of Modern Physics, Normal College of Ningbo University, Ningbo 315211, Chinat;
2. Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China |
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| Abstract: | A conformal-invariant asymptotic expansion approach to solve any nonlinear integrable and nonintegrable models with any dimensions is proposed. Taking the compound KdV-Burgers (cKdVB) equation and the KdV-Burgers (KdVB) equation as concrete examples,we obtain many new conformal-invariant models with Painleve' property and the approximate solutions of the cKdVB and KdVB equations. In some special cases, the approximate solutions become exact. |
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| Keywords: | asymptotic approach nonlinear equation conformal invariance |
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