Abstract
Abstract
Persistence of the traveling wave solutions of a perturbed higher order nonlinear Schrödinger equation with distributed delay is studied by the geometric singular perturbation theory. The solitary wave, kink and anti-kink solutions are proved to coexist simultaneously at the same speed c by combing the Melnikov method and the bifurcation analysis. Interestingly, a new type of traveling wave solution possessing crest, trough and kink (anti-kink) is discovered. Further, numerical simulations are carried out to confirm the theoretical results.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Zhejiang Province
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
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