Emergence of reflectionless scattering from linearizations of integrable PDEs around solitons

DOI10.1088/1751-8113/48/7/075203zbMath1314.35128arXiv1306.0300OpenAlexW2963751097MaRDI QIDQ5177782

Maxim Olshanii, Andrew P. Koller, Zaijong Hwang

Publication date: 6 March 2015

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

Full work available at URL: https://arxiv.org/abs/1306.0300

zbMATH Keywords

solitonsKorteweg-de Vries equationsine-Gordon equationGross-Pitaevskii equationBogoliubov-de Gennes equationLiouville's equationreflectionless scattering

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) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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