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<正>A new coupled integrable dispersionless equation is presented by considering a spectral problem.A Darboux transformation for the resulting coupled integrable dispersionless equation is constructed with the help of spectral problems.As an application,the N-soliton solution of the coupled integrable dispersionless equation is explicitly given. 相似文献
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A connection between the(G'/G)-expansion method and the truncated Painlevé expansion method and its application to the mKdV equation 下载免费PDF全文
Recently the (G'/G)-expansion
method was proposed to find the traveling wave solutions of
nonlinear evolution equations. This paper shows that the
(G'/G)-expansion method is a special form of the truncated
Painlevé expansion method by introducing an intermediate
expansion method. Then the generalized
(G'/G)--(G'/G) expansion method is naturally
derived from the standpoint of the nonstandard truncated
Painlevé expansion. The application of the generalized method to
the mKdV equation shows that it extends the range of exact solutions
obtained by using the (G'/G)-expansion
method. 相似文献
3.
A connection between the (G′/G)-expansion method and the truncated Painlev 'e expansion method and its application to the mKdV equation 下载免费PDF全文
Recently the (G′/G)-expansion method was proposed to find the traveling wave solutions of nonlinear evolution equations. This paper shows that the (G′/G)-expansion method is a special form of the truncated Painlev'e expansion method by introducing an intermediate expansion method. Then the generalized (G′/G)-(G/G′) expansion method is naturally derived from the standpoint of the nonstandard truncated Painlev'e expansion. The application of the generalized method to the mKdV equation shows that it extends the range of exact solutions obtained by using the ( G′/ G)-expansion method. 相似文献
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