一类非线性色散波动方程的可积性问题

The Integrability Problem of a Class with Nonlinear Dispersive Shallow Water Wave Equation

研究一类带色散项的非线性浅水波方程,通过对称法,结合数论方法,研究发展偏微分方程,由齐次微分多项式的可积性得出非线性浅水波方程的可积性.

The integrability of a class of nonlinear dispersive shallow water wave equation with dispersive term is investigaled.By using the Symmetry Approach and Number Theory methods,the evolution partial differential equation is studied.The integrability of nonlinear dispersive shallow water wave equation could be deduced from the integrability of the homogeneous differential polynomial.