Nonsingularity of the direct scattering transform for the KP II equation with a real exponentially decaying-at-infinity potential

DOI10.1023/A:1007333509613zbMath0879.35144arXivsolv-int/9509010MaRDI QIDQ1357226

Petr G. Grinevich

Publication date: 16 June 1997

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9509010

zbMATH Keywords

heat equationKadomtsev-Petviashvili equationdirect spectral transform

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51) Fredholm integral equations (45B05)

Related Items (3)

The direct scattering problem for the perturbed Gr(1, 2) _⩾0 Kadomtsev–Petviash-vili II solitons ⋮ Higher-dimensional nonlinear integrable equations: Asymptotics of solutions and perturbations ⋮ IST Versus PDE: A Comparative Study

This page was built for publication: Nonsingularity of the direct scattering transform for the KP II equation with a real exponentially decaying-at-infinity potential