Evans function for Lax operators with algebraically decaying potentials

DOI10.1007/s00332-005-0652-7zbMath1117.35070OpenAlexW2083354448MaRDI QIDQ2499282

Martin Klaus, Dmitry E. Pelinovsky, Vassilis M. Rothos

Publication date: 14 August 2006

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-005-0652-7

zbMATH Keywords

Evans functionderivative nonlinear Schrödinger equationmodified Korteweg-de Vries equationfocusing nonlinear Schrödinger equationLax operatorsalgebraic solitonsAKNS spectral problemeigenvalue bifurcationmassive thirring model

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) Bifurcations in context of PDEs (35B32)

Related Items (10)

New solitons and kinks solutions to the Sharma-Tasso-Olver equation ⋮ Instability of degenerate solitons for nonlinear Schrödinger equations with derivative ⋮ Linear instability of breathers for the focusing nonlinear Schrödinger equation ⋮ Kinks and solitons solutions for the generalized KdV equation with two power nonlinearities ⋮ Orbital stability of solitary waves for derivative nonlinear Schrödinger equation ⋮ Higher-order algebraic soliton solutions of the Gerdjikov-Ivanov equation: asymptotic analysis and emergence of rogue waves ⋮ Inverse Scattering for the Massive Thirring Model ⋮ A generalization of the Wiener rational basis functions on infinite intervals: Part I–derivation and properties ⋮ New exact solutions for a generalized KdV equation ⋮ Stability of algebraic solitons for nonlinear Schrödinger equations of derivative type: variational approach

This page was built for publication: Evans function for Lax operators with algebraically decaying potentials