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Herbst, B. M.; Ablowitz, Mark J.; Ryan, E.

Numerical homoclinic instabilities and the complex modified Korteweg-de Vries equation. (English) Zbl 0900.65350

Comput. Phys. Commun. 65, No. 1-3, 137-142 (1991).

Cited in 25 Documents

MSC:

65Z05 Applications to the sciences
35Q53 KdV equations (Korteweg-de Vries equations)
35Q55 NLS equations (nonlinear Schrödinger equations)
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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\textit{B. M. Herbst} et al., Comput. Phys. Commun. 65, No. 1--3, 137--142 (1991; Zbl 0900.65350)
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References:

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[10] Guckenheimer, J.; Holmes, P., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields (1983), Springer: Springer New York · Zbl 0515.34001
[11] Wiggens, S., Global Bifurcations and Chaos (1988), Springer: Springer New York
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[14] Part III: Homoclinic orbits for the periodic sine-Gordon equation. Part III: Homoclinic orbits for the periodic sine-Gordon equation, Physica D, 43, 349 (1990) · Zbl 0705.58026
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