Stability properties of solitary waves in a complex modified KdV system

DOI10.1016/S0378-4754(00)00311-6zbMath0981.35074OpenAlexW2092339227MaRDI QIDQ5937546

Judith R. Miller

Publication date: 12 July 2001

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(00)00311-6

zbMATH Keywords

Evans functionbifurcating eigenvaluescoupled complex modified Korteweg-de Vries equation with perturbationsstability of the solitary waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45)

Cites Work

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• Stability theory of solitary waves in the presence of symmetry. I
• Asymptotic stability of solitary waves
• Structural stability of non-ground state traveling waves of coupled nonlinear Schrödinger equations
• Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
• The Evans Function and Generalized Melnikov Integrals
• The Mechanism of the Polarizational Mode Instability in Birefringent Fiber Optics
• Eigenvalues, and instabilities of solitary waves
• Asymptotic stability of solitary waves for the regularized long-wave equation

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