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- W2061567408 abstract "A direct method for constructing transformations from traveling wave solutions to non-traveling wave solutions of an evolution equation, has been developed. In the case, when applying the method yields transformations from one-soliton solutions to two-soliton solutions, it may be used for construction of the many-parameter families of evolution equations possessing two-soliton solutions. Such equations may, to some extent, be considered as candidates for integrable equations. In order to separate presumably integrable equations from those families, a direct method for identifying conditions for the Lax pair existence has been developed. Some new equations admitting the Lax pairs have been identified using the method." @default.
- W2061567408 created "2016-06-24" @default.
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- W2061567408 date "2015-01-01" @default.
- W2061567408 modified "2023-10-12" @default.
- W2061567408 title "Classification of evolution equations possessing two-soliton solutions and lax pairs by direct methods" @default.
- W2061567408 doi "https://doi.org/10.1063/1.4912649" @default.
- W2061567408 hasPublicationYear "2015" @default.
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