Miura-type transformations of nonlinear partial differential equations integrable by the \(\overline{\partial}\)-problem method
DOI10.1007/BF02557341zbMath0976.37040OpenAlexW2086372852MaRDI QIDQ1567845
Publication date: 26 June 2000
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02557341
integrable systems\(\overline\partial\)-problemKadomtsev-Petviashvili equationMiura-type transformations
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Cites Work
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Dual \(\overline\partial\)-problem, \((2+1)\)-dimensional integrable nonlinear evolution equations and their reductions
- The non-local delta problem and (2+1)-dimensional soliton equations
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