高阶非线性Sasa-Satsuma方程的新精确单行波解分类  

New Classification of Single Exact Traveling Wave Solutions for Higher-Order Sasa-Satsuma Equation

作　　者：韩天勇[1,2] 李钊 HAN Tianyong;LI Zhao(College of Computer Science,Chengdu University,Chengdu 610106,China;Geomathematics Key Laboratory of Sichuan Province,Chengdu University of Technology,Chengdu 610059,China)

机构地区：[1]成都大学计算机学院,四川成都610106 [2]成都理工大学数学地质四川省重点实验室,四川成都610059

出　　处：《四川职业技术学院学报》2022年第4期163-168,共6页Journal of Sichuan Vocational and Technical College

基　　金：数学地质四川省重点实验室开放基金资助课题“几类分数阶随机偏微分方程的精确行波解、分支、稳定性及其在地质方面的应用”(scsxdz2021yb05)。

摘　　要：非线性Schr9dinger方程是一类应用广泛的非线性偏微分方程.广义(3+1)维非线性Sasa-Satsuma方程是非线性Schr9dinger方程在三维空间的推广形式,可以描述孤立波在光纤中传播的物理过程.本文利用复行波变换和多项式完全判别系统,得到了非线性Sasa-Satsuma方程的一类新的精确行波解.Nonlinear Schrodinger equations is a kind of nonlinear partial differential equation are useful in variety applications. A generalized(3+1)dimensional nonlinear Sasa-Satsuma equation is a generalization of nonlinear Schrodinger equation in three-dimensional space, which can describe the physical process of solitary wave propagation in optical fiber. A new class of exact traveling wave solutions of nonlinear Sasa-Satsuma equation are obtained by employing complex traveling wave transformation and complete polynomial discrimination system.

关 键 词：高阶非线性Sasa-Satsuma方程 精确行波解 完全判别系统 

分 类 号：O715.29[理学—晶体学]