Similarity Reductions of the One and Two Dimensional Nonlinear Schrodinger Equations
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概要
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Similarity solutions of the one and two-dimensional nonlinear Schr6dingerequations are studied by means of Lie's method of infinitesimal transformationgroups. It is shown that the two-dimensional nonlinear Schr5dinger equationcan be reduced to the nonlinear Klein-Gordon equation and others, and thesolution of the one-dimensional nonlinear Schr6dinger equation for a similarityvariable is reducible to the second Painlev<S transcendent. Some similarity solu-tions of the equations are obtained.
- 社団法人日本物理学会の論文
- 1983-06-15
著者
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Tajiri Masayoshi
Department Of Applied Physics Faculty Of Engineering University Of Osaka Prefecture
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