(2+1)维色散长波系统的有理解和动力学系统

The Rational Solutions and Their Dynamics for The (2+1)-dimensional Dispersive Long Wave System

通过Hirota双线性方法,根据行列式和矩阵的性质,引入τ函数并应用它的性质,研究(2+1)维色散长波方程,给出其方程的高阶有理解.通过选取不同的自由参数,画图加以说明色散长波方程基础有理解的碰撞规律,并进行详细的动力学分析.

In this letter,the general high-order rational solutions of the （2＋1）-dimensional dispersive long wave system is derived by the Hirota bilinear method.These solutions can be given in terms of Grammian determinants and the matrix elements have plain algebraic expressions.By setting the regulation of free parameters,the presentation of one order rational solution is demonstrated by the figures and density.