Nonlinear analysis of instability produced by linear mode coupling

• Published in: Physica. D Vol. 113; no. 1; pp. 26 - 42
• Main Authors: Grimshaw, Roger, He, Jianming, Malomed, Boris A.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 1998
• Subjects: Instability; Resonance; Wave collapse; Instability; Resonance; Wave collapse

We consider a system of two first-order complex partial differential equations with cubic nonlinear terms, which is a generic asymptotic model for wave envelopes in the situation when a linear instability is produced by mode coalescence (intersection of the dispersion curves) in the presence of a we...