The Hopf-Cole transformation and the KP equation

DOI10.1016/0375-9601(94)90364-6zbMath0961.35504OpenAlexW2077979674MaRDI QIDQ1964939

Francisco Guil, Manuel Mañas, Gabriel Álvarez

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90364-6

zbMATH Keywords

GrassmannianKP hierarchyKadomtsev-Petviashvili equationgeneralized Hopf-Cole transformation

Mathematics Subject Classification ID

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)

Related Items (6)

“Riemann equations” in bidifferential calculus ⋮ Non-Abelian integrable hierarchies: matrix biorthogonal polynomials and perturbations ⋮ Deformation of the dromion and solitoff solutions of the Davey-Stewartson I equation ⋮ Darboux transformations for the Davey-Stewartson equations ⋮ Burgers and Kadomtsev-Petviashvili hierarchies: a functional representation approach ⋮ The Darboux system: Finite-rank constraints and Darboux transformations

Cites Work

• Solving the KP hierarchy by gauge transformations
• Integrable equations in (2+1) dimensions associated with symmetric and homogeneous spaces
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics
• Unnamed Item

This page was built for publication: The Hopf-Cole transformation and the KP equation