Exact solution of the nonlinear “loop” soliton equation
Year: 2005
Type: article
Abstract: In this paper the author proposes a new method to solve the nonlinear “loop” soliton equation,that is,to directly find the solution of the analytic function U(ξ) of the equation by using the traveling wave parameter ξ and the power ser ies expansion, and to find the exact solution of the equation (including the sol itary wave solution) by directly observing the variation of the equation using M atLab to depict the functional relationship of U(ξ)-ξ for the cases of c→ligh t speed and c→sound speed.This method should be helpful in solving difficult no nlinear soliton equations.
Source: Acta Physica Sinica
DOI: 10.7498/aps.54.4186
Authors: Pu Li-Chun, Zhang Xue-Feng, Xu Li-Jun, 攀枝花学院数理教学部，攀枝花 617000
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W10508351