Construction of higher-dimensional nonlinear integrable systems and of their solutions
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Publication:1078778
DOI10.1007/BF01078388zbMath0597.35115MaRDI QIDQ1078778
S. V. Manakov, Vladimir E. Zakharov
Publication date: 1985
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Korteweg-de Vries equationKadomtsev-Petviashvili equationnonlinear integrable systemsnonlocal Riemann problemnonlocal \({\bar \partial }\)-problem
Partial differential equations of mathematical physics and other areas of application (35Q99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
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Cites Work
- The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- A Method for Solvithe Separable Initial-Value Problem of the Full Three-Dimensional Three-Wave Interaction
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