scholarly journals High-Order Nonlinear Schrödinger Equation for the Envelope of Slowly Modulated Gravity Waves on the Surface of Finite-Depth Fluid and Its Quasi-Soliton Solutions

2014 ◽  
Vol 59 (12) ◽  
pp. 1201-1215 ◽  
Author(s):  
I.S. Gandzha ◽  
◽  
Yu.V. Sedletsky ◽  
D.S. Dutykh ◽  
◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Gravity Waves ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Finite Depth ◽  
Nonlinear Schrodinger Equation ◽  
High Order ◽  
Nonlinear Schrödinger

scholarly journals The Bound-state Soliton Solutions of a Higher-order Nonlinear Schrödinger Equation for Inhomogeneous Heisenberg Ferromagnetic System

2021 ◽  
Author(s):  
Jin-Jin Mao ◽  
Shoufu Tian ◽  
Tian-Zhou Xu ◽  
Lin-Fei Shi
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Bound State ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
High Order ◽  
Nonlinear Schrödinger ◽  
Ferromagnetic System

Abstract By studying an appropriate Riemann-Hilbert (RH) problem, the inverse scattering of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system with zero boundary condition is calculated. The RH problem of reflection coefficient with multiple high-order poles is obtained. Meanwhile, the calculation formulas of bound state (BS) solitons and multiple BS solitons corresponding to one high-order pole and multiple high-order poles are also calculated respectively. Finally, the corresponding soliton solution model is calculated according to the corresponding formula. Simultaneously, we also obtain the interaction between BS soliton and multiple BS solitons, and between multiple BS solitons and multiple BS solitons.

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