The Cauchy Problem for the Kadomtsev–Petviashili II Equation with Nondecaying Data along a Line

DOI10.1111/1467-9590.00220zbMath1152.35480OpenAlexW2018924978MaRDI QIDQ4784777

Mark J. Ablowitz, Javier Villarroel

Publication date: 11 December 2002

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/1467-9590.00220

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

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Killed random processes and heat kernels ⋮ Numerical study of blow up and stability of solutions of generalized Kadomtsev-Petviashvili equations ⋮ Global well-posedness for the KP-II equation on the background of a non-localized solution ⋮ Numerical study of break-up in solutions to the dispersionless Kadomtsev-Petviashvili equation ⋮ Whitham modulation theory for the Kadomtsev– Petviashvili equation ⋮ On critical behaviour in generalized Kadomtsev-Petviashvili equations ⋮ IST Versus PDE: A Comparative Study ⋮ The equivalence of different approaches for generating multisoliton solutions of the KPII equation ⋮ Building an extended resolvent of the heat operator via twisting transformations

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