Using trial equation method to solve the exact solutions for two kinds of KdV equations with variable coefficients;
用试探方程法求变系数非线性发展方程的精确解
Using trial equation method,we reduced a shallow water equation to the elementary integral forms,and obtained their abundant exact traveling wave solutions,which included rational function solution,solitary wave solutions,triangle function periodic solutions and Jacobian elliptic function periodic solutions.
利用试探方程法,将流体力学浅水波方程约化成积分形式,得到丰富的精确行波解。
Using trial equation method,we have reduced(1+1)-dimensional Camassa-Holm equation to the elementary integral and obtained its abundant exact traveling wave solutions which includes triangular function solutions and hyperbolic function solutions.
利用试探方程法将1+1维Camassa-Holm方程化成了可求解的不定积分形式,进而求出其精确解,包括三角函数型周期解和双曲函数型解。