Portal de Periódicos da CAPES

Resonant Breakup of Soliton in Parametrically Driven Nonlinear Schrödinger Equation

1989; Physical Society of Japan; Volume: 58; Issue: 6 Linguagem: Inglês

10.1143/jpsj.58.1930

1347-4073

Atsushi Okamura, Hidetoshi Konno,

Advanced Fiber Laser Technologies

We have studied the parametrically driven nonlinear Schrödinger equation: \(\mathrm{i}\psi_{t}+\psi_{xx}+2|\psi|{^{2}\psi}{=}-\mathrm{i}\varGamma_{0}(\sin\omega t)\psi\). It was found that: (a) as the strength of the external force \(\varGamma_{0}\) increases, the amplitude of 1 soliton exhibits the intermittent route to “chaos”; (b) when \(\varGamma_{0}\) further increases, the 1-soliton state breaks up into the 2-soliton state; this is an elementary process of the annihilation-creation of solitons.