节点文献
扩展的(3+1)维浅水波方程的孤波解与相互作用解
Solitary Wave and Interaction Solutions for the Extended (3+1)-Dimensional Shallow-Water Wave Equation
【摘要】 基于一个新的扩展的(3+1)维浅水波方程的Hirota双线性形式,根据三波法的思想,利用特定形式的辅助函数构造出该方程的孤波解与相互作用解,并对参数赋值,通过数值模拟,展示解在局部范围下的物理结构和动力学演化过程.
【Abstract】 Based on a new extended Hirota bilinear form of the(3+1)-dimensional shallow-water wave equation, the solitary wave and interaction solutions of the equation are constructed following the idea of the three-wave method by using auxiliary functions of a specific form, and the physical structure and dynamical evolution of some of the solutions are demonstrated by numerical simulation given suitable parameters.
【关键词】 扩展的(3+1)维浅水波方程;
Hirota双线性形式;
三波法;
孤波解;
相互作用解;
【Key words】 extended(3+1)-dimensional shallow-water wave equation; Hirota bilinear form; three-wave method; solitary wave; interaction solutions;
【Key words】 extended(3+1)-dimensional shallow-water wave equation; Hirota bilinear form; three-wave method; solitary wave; interaction solutions;
【基金】 2024年度自治区高校基本科研业务费项目(XJEDU2024P041);2025年度新疆农业大学大学生创新项目(dxscx2025386)
- 【文献出处】 长春师范大学学报 ,Journal of Changchun Normal University , 编辑部邮箱 ,2026年04期
- 【分类号】O175
- 【下载频次】13