Properties of solutions of the Kadomtsev–Petviashvili I equation
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Publication:4327201
DOI10.1063/1.530808zbMath0814.35116OpenAlexW2048144270MaRDI QIDQ4327201
F. Pempinelli, A. K. Pogrebkov, M. Boiti
Publication date: 5 April 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.530808
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) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
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Cites Work
- Expansions with respect to squares, symplectic and Poisson structures associated with the Sturm-Liouville problem. II
- Inverse scattering transform for the time dependent Schrödinger equation with applications to the KPI equation
- The inverse scattering transform for the time-dependent Schrödinger equation and Kadomtsev-Petviashvili equation
- On the evolution of packets of water waves
- On the Inverse Scattering of the Time-Dependent Schrödinger Equation and the Associated Kadomtsev-Petviashvili (I) Equation
- On the Kadomtsev-Petviashvili Equation and Associated Constraints
- Resolvent approach for the nonstationary Schrodinger equation
- On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
- Solutions of the KPI equation with smooth initial data
