Mathematics / Matematik

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  • Conference Object
    Citation - WoS: 24
    Citation - Scopus: 24
    Solitons of the Resonant Nonlinear Schrödinger Equation With Nontrivial Boundary Conditions: Hirota Bilinear Method
    (Pleiades Publishing, 2007) Lee, Jyh Hao; Pashaev, Oktay
    We use the Hirota bilinear approach to consider physically relevant soliton solutions of the resonant nonlinear Schrödinger equation with nontrivial boundary conditions, recently proposed for describing uniaxial waves in a cold collisionless plasma. By the Madelung representation, the model transforms into the reaction-diffusion analogue of the nonlinear Schrödinger equation, for which we study the bilinear representation, the soliton solutions, and their mutual interactions.