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Heteroclinic Structure of Parametric Resonance in the Nonlinear Schrödinger Equation
2016
Physical Review Letters
We show that the nonlinear stage of modulational instability induced by parametric driving in the defocusing nonlinear Schrödinger equation can be accurately described by combining mode truncation and averaging methods, valid in the strong driving regime. The resulting integrable oscillator reveals a complex hidden heteroclinic structure of the instability. A remarkable consequence, validated by the numerical integration of the original model, is the existence of breather solutions separating
doi:10.1103/physrevlett.117.013901
pmid:27419569
fatcat:t7hendkmozc7tgx47tojkxniai