Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy (Q5937110)
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scientific article; zbMATH DE number 1618535
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy |
scientific article; zbMATH DE number 1618535 |
Statements
Integrable couplings of soliton equations by perturbations. I: A general theory and application to the KdV hierarchy (English)
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3 September 2002
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The author discusses a problem of integrable couplings. That is, having an integrable system of evolution equations \(u_t=K(u)\), how to obtain a bigger (nontrivial) integrable system consisting of \(u_t=K(u)\) and \(v_t = S(u,v)\). ``Using various perturbations around solutions of perturbed soliton equations being analytic with respect to a small perturbation parameter'' the author developes ``a theory for constructing integrable couplings of soliton equations''. Application of the theory to the KdV hierarchy is given.
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soliton equations
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integrable couplings
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KdV hierarchy
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