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On multichannel solutions of nonlinear Schrödinger equations: algorithm, analysis and numerical explorations. (English) Zbl 1315.35209

The numerical methods involving modulation equations are applied to solve the nonlinear Schrödinger equation with multichannel dynamics. The methods are clearly described and the convergence conclusions are proved. Multichannel solutions are presented by the numerical analysis.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
35Q51 Soliton equations
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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