Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation
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Publication:804833
DOI10.1016/0022-1236(91)90096-NzbMath0728.35104OpenAlexW1982752819MaRDI QIDQ804833
Barry Simon, Helge Holden, Friedrich Gesztesy, Elias Saab
Publication date: 1991
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-1236(91)90096-n
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Cites Work
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- Solitons and infinite dimensional Lie algebras
- The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I
- General \(N\)th-order differential spectral problem: general structure of the integrable equations, nonuniqueness of recursion operator and gauge invariance
- Fredholm determinants and the \(\tau\) function for the Kadomtsev- Petviashvili hierarchy
- Constructing solutions of the mKdV-equation
- Loop groups and equations of KdV type
- Construction of higher-dimensional nonlinear integrable systems and of their solutions
- Reduction of soliton equations in bilinear form
- Multidimensional nonlinear evolution equations and inverse scattering
- Inverse scattering for the heat operator and evolutions in \(2+1\) variables
- Geometrical interpretation of the bilinear equations of the KP hierarchy
- Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Complete integrability of the Kadomtsev-Petviashvili equations in \(2+1\) dimensions
- On the Darboux transformation for \(1+2\)-dimensional equations
- N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation
- Periodic multiphase solutions of the Kadomtsev-Petviashvili equation
- Solitons and rational solutions of nonlinear evolution equations
- Reflectionless Transmission through Dielectrics and Scattering Potentials
- On the Inverse Scattering Transform for the Kadomtsev-Petviashvili Equation
- Soliton Solutions of Non-linear Evolution Equations
- Commutation Methods Applied to the mKdV-Equation
- Explicitly time-dependent constants/symmetries of the higher-order KP equations
- General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- Operator methods for inverse scattering on the real line
- Modified equations, rational solutions, and the Painlevé property for the Kadomtsev–Petviashvili and Hirota–Satsuma equations
- Hamilton’s form for the Kadomtsev–Petviashvili equation
- Two-dimensional lumps in nonlinear dispersive systems
- Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- Linear spectral problems, non-linear equations and the δ-method
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
