scholarly journals Construction of a solitary wave solution of the nonlinear focusing schrödinger equation outside a strictly convex obstacle in the L^2 -supercritical case

2021 ◽  
Vol 41 (2) ◽  
pp. 701-746
Author(s):  
Oussama Landoulsi ◽  
Keyword(s):  
Solitary Wave ◽  
Schrödinger Equation ◽  
Wave Solution ◽  
Schrodinger Equation ◽  
Solitary Wave Solution ◽  
Strictly Convex ◽  
Supercritical Case ◽  
Nonlinear Focusing ◽  
Convex Obstacle

New Rational Homoclinic Solution and Rogue Wave Solution for the Coupled Nonlinear Schrödinger Equation

2014 ◽  
Vol 69 (8-9) ◽  
pp. 441-445 ◽  
Author(s):  
Long-Xing Li ◽  
Jun Liu ◽  
Zheng-De Dai ◽  
Ren-Lang Liu
Keyword(s):  
Schrödinger Equation ◽  
Wave Solution ◽  
Schrodinger Equation ◽  
Rogue Wave ◽  
Homoclinic Solution ◽  
Nonlinear Schrodinger Equation ◽  
Nls Equation ◽  
Nonlinear Schrödinger ◽  
Coupled Nonlinear Schrödinger Equation ◽  
Rogue Wave Solution

In this work, the rational homoclinic solution (rogue wave solution) can be obtained via the classical homoclinic solution for the nonlinear Schrödinger (NLS) equation and the coupled nonlinear Schrödinger (CNLS) equation, respectively. This is a new way for generating rogue wave comparing with direct constructing method and Darboux dressing technique

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