A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves

DOI10.1137/040605308zbMath1062.65138arXivnlin/0408025OpenAlexW3102786515MaRDI QIDQ4653141

Georg A. Gottwald, Gianne Derks

Publication date: 28 February 2005

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0408025

zbMATH Keywords

numerical exampleeigenvaluesexterior algebraoscillatory instabilitymassive Thirring modeledge bifurcationgap solitonsfast robust shooting algorithmnumerical Evans functiongap solitary wavespinor systems

Mathematics Subject Classification ID

Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Numerical nonlinear stabilities in dynamical systems (65P40) Solitary waves in solid mechanics (74J35)

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