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

MSC:
65Z05Applications of numerical analysis to physics
35Q53KdV-like (Korteweg-de Vries) equations
35Q55NLS-like (nonlinear Schrödinger) equations
65M12Stability and convergence of numerical methods (IVP of PDE)
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References:
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[3] Herbst, B. M.; Ablowitz, M. J.: On numerical chaos in the nonlinear Schrödinger equation. Lecture notes in physics 342, 192-206 (1989)
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[14] . Physica D 43, 349 (1990)