Bifurcating bright and dark solitary waves for the perturbed cubic-quintic nonlinear Schrödinger equation

DOI10.1017/S030821050002165XzbMath0968.35108arXivpatt-sol/9608009MaRDI QIDQ3840739

Todd Kapitula

Publication date: 8 October 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9608009

zbMATH Keywords

singular perturbation techniquescubic-quintic Schrödinger equationexistence of bright and dark multi-bump solitary waves

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Related Items

The solitary wave, kink and anti-kink solutions coexist at the same speed in a perturbed nonlinear Schrödinger equation, Stability criterion for bright solitary waves of the perturbed cubic-quintic Schrödinger equation, Existence and stability of modulating pulse-solutions in a phenomenological model of nonlinear optics, Geometric singular perturbation theory in biological practice

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