Exact Solutions of the Davey-Stewartson Equation with Complex Coefficients

Ken–ichi Matsuba; Kenji Imai; Kazuhiro Nozaki

doi:10.1143/jpsj.66.1668

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Exact Solutions of the Davey-Stewartson Equation with Complex Coefficients

Ken–ichi Matsuba, Kenji Imai, Kazuhiro Nozaki

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Keywords: exact solutions, the complex Davey-Stewartson equation, the Hirota's method

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1997 Volume 66 Issue 6 Pages 1668-1671

DOI https://doi.org/10.1143/jpsj.66.1668

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Abstract

We give three types of exact solutions (a hole, a solitary wave and a shock) of the Davey-Stewartson equation with complex coefficients, which is a kind of 2+1 dimensional generalization of the 1+1 dimensional complex Ginzburg-Landau equation.

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