CAJ | 학술논문

应用孤子拟解法研究了含外力项时变系数KdV方程与一类时变系数耦合KdV方程组。首先将方程经过变量代换转换为齐次方程，然后将孤子解假设为双曲正割函数的形式带入方程或方程组，最后借助Maple软件完成复杂的计算来确定假设的孤子解的待定系数，从而得到孤子解存在的条件及其孤子解。结果显示：孤子拟解法计算简便且能得到方程的亮孤子解。
응용고자의해법연구료함외력항시변계수KdV방정여일류시변계수우합KdV방정조。수선장방정경과변량대환전환위제차방정，연후장고자해가설위쌍곡정할함수적형식대입방정혹방정조，최후차조Maple연건완성복잡적계산래학정가설적고자해적대정계수，종이득도고자해존재적조건급기고자해。결과현시：고자의해법계산간편차능득도방정적량고자해。
This paper studied the KdV equation with time-dependent coefficients and forcing term and the cou-pled KdV equations with time-dependent coefficients by using soliton ansaze.Firstly,the equation was converted to homogeneous equation by using a variable transformation.Then,by assuming the soliton solutions to be the form of sech function,and with the help of Maple software,the complicated and tedious calculations were per-formed,and the conditions of existence of solitons and soliton solutions were obtained.The results show that the calculation of soliton ansaze is simple and can obtain bright soliton solutions.