On some nondecaying potentials and related Jost solutions for the heat conduction equation

DOI10.1088/0266-5611/16/3/304zbMath0962.35158arXivnlin/0004017OpenAlexW2049695753MaRDI QIDQ4493577

Barbara Prinari

Publication date: 6 August 2000

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0004017

zbMATH Keywords

Bäcklund transformationsJost solutionsDarboux transformationsheat conduction operator

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (5)

The direct scattering problem for the perturbed Gr(1, 2) _⩾0 Kadomtsev–Petviash-vili II solitons ⋮ The direct scattering problem for perturbed Kadomtsev–Petviashvili multi line solitons ⋮ Inverse scattering transform for the perturbed 1-soliton potential of the heat equation ⋮ The equivalence of different approaches for generating multisoliton solutions of the KPII equation ⋮ Building an extended resolvent of the heat operator via twisting transformations

This page was built for publication: On some nondecaying potentials and related Jost solutions for the heat conduction equation