广西民族大学学报（自然科学版）2025，Vol.31Issue(4)：67-76,10.
广义破裂孤子方程精确行波解
Exact Traveling Wave Solutions of the Generalized Breaking Soliton Equation
摘要
Abstract
The generalized breaking soliton equation finds significant applications in multiple domains such asnonlinear optics,fluid mechanics,and solid-state physics.Firstly,by employing the theory of planar dynamical systems,the existence of exact traveling wave solutions for the generalized breaking soliton equation is studied,and the corresponding phase portraits as well as the conditions for the existence of traveling wave solutions under different parameters are obtained.Secondly,explicit expressions for solutions in the form of hyperbolic,trigonometric and rational functions are derived using the direct integration method and the newly modified auxiliary equation method.Finally,the behavior of these exact traveling wave solutions under various parametric conditions is analyzed in conjunction with their existence results.关键词
广义破裂孤子方程/解的存在性/新修正辅助方程方法/行波解/性态分析Key words
Generalized breaking soliton equation/Existence of solutions/Newly modified auxiliary equation method/Exact traveling wave solutions/Behavior analysis分类
数理科学引用本文复制引用
张雁茹,刘小华..广义破裂孤子方程精确行波解[J].广西民族大学学报（自然科学版）,2025,31(4):67-76,10.基金项目
贵州省教育厅自然科学研究项目(黔教技[2023]062号). （黔教技[2023]062号）
