Rational-exponential solutions of nonlinear equations |
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Authors: | G V Bezmaternih A B Borisov |
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Institution: | (1) Institute of Metal Physics, Urals Branch of the U.S.S.R. Academy of Sciences, GSP-170, 620219 Sverdlovsk, USSR |
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Abstract: | A new, straightforward and systematic approach to construct rational-exponential solutions is proposed. The method is based on the formal perturbation theory. Explicit rational-exponential solutions for the two-dimensional elliptic sine-Gordon and Korteweg-de Vries equations are constructed. The method used is quite general and applicable to most nonlinear evolution equations, including certain multidimensional equations. |
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Keywords: | 35Q20 |
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