Differential substitutions for vectorial generalizations of the mKdV equation (Q887491)
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scientific article; zbMATH DE number 6498254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Differential substitutions for vectorial generalizations of the mKdV equation |
scientific article; zbMATH DE number 6498254 |
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Differential substitutions for vectorial generalizations of the mKdV equation (English)
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26 October 2015
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The author considers differential substitutions of the form \(u=\sum_{i=0}^m\xi_iv_i\) for vectorial generalizations of the mKdV equation: \(u_t=u_3+(u,u)u_1\) and \(u_t=u_3+(u,u)u_1+(u,u_1)u_1\). It appears that only substitutions of the form \(u=F(v,v_x)\) are admitted.
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mKorteweg-de Vries equation
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differential substitution
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Bäcklund transformation
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0.8954092
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0.8756436
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0.8669063
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0.8603271
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0.8602163
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