Extended resolvent of the heat operator with a multisoliton potential

DOI10.1007/S11232-012-0094-6zbMath1341.37034arXiv1203.4665OpenAlexW3101702478MaRDI QIDQ394856

A. K. Pogrebkov, M. Boiti, F. Pempinelli

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.4665

zbMATH Keywords

heat operatorsolitonKadomtsev-Petviashvili equationextended resolvent

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Heat equation (35K05) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (5)

Extended resolvent of the heat operator with a multisoliton potential ⋮ Linear stability of elastic 2-line solitons for the KP-II equation ⋮ 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 ⋮ Hirota difference equation: inverse scattering transform, Darboux transformation, and solitons

Cites Work

• Extended resolvent of the heat operator with a multisoliton potential
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• Hamiltonian structure of the Kadomtsev-Petviashvili. II: Equation in the class of decreasing Cauchy data
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• The equivalence of different approaches for generating multisoliton solutions of the KPII equation
• Towards an inverse scattering theory for non-decaying potentials of the heat equation
• Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions
• KP solitons in shallow water
• Scattering transform for nonstationary Schrödinger equation with bidimensionally perturbed N-soliton potential
• Soliton Solutions of the KP Equation and Application to Shallow Water Waves
• Inverse scattering theory of the heat equation for a perturbed one-soliton potential

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