湖南理工学院学报(自然科学版)
湖南理工學院學報(自然科學版)
호남리공학원학보(자연과학판)
JOURNAL OF HUNAN INSTITIUTE OF SCIENCE AND TECHNOLOGY(NATURAL SCIENCES)
2013年
1期
10-13
,共4页
BBM方程%Kaup-Kupershmidt方程%广义KdV方程%sech2-型孤波解%csch2-型孤波解
BBM方程%Kaup-Kupershmidt方程%廣義KdV方程%sech2-型孤波解%csch2-型孤波解
BBM방정%Kaup-Kupershmidt방정%엄의KdV방정%sech2-형고파해%csch2-형고파해
BBM equation%Kaup-Kupershmidt equation%generalized KdV equation%sech2-type solitary wave solution%csch2-type solitary wave solution
通过巧妙地引入一个变换,并选取合适的试探函数,提出了一种构造非线性波方程sech2-型和csch2-型孤波解的统一方法,并用该法求得了BBM方程、Kaup-Kupershmidt方程和广义KdV方程的sech2-型和csch2-型孤波解.本方法也可用于构造其他非线性波方程的sech2-型和csch2-型孤波解.
通過巧妙地引入一箇變換,併選取閤適的試探函數,提齣瞭一種構造非線性波方程sech2-型和csch2-型孤波解的統一方法,併用該法求得瞭BBM方程、Kaup-Kupershmidt方程和廣義KdV方程的sech2-型和csch2-型孤波解.本方法也可用于構造其他非線性波方程的sech2-型和csch2-型孤波解.
통과교묘지인입일개변환,병선취합괄적시탐함수,제출료일충구조비선성파방정sech2-형화csch2-형고파해적통일방법,병용해법구득료BBM방정、Kaup-Kupershmidt방정화엄의KdV방정적sech2-형화csch2-형고파해.본방법야가용우구조기타비선성파방정적sech2-형화csch2-형고파해.
By introducing felicitously a transformation and selecting the appropriate trial functions, this paper puts forward a unified approach to solving nonlinear wave equations. As a result, the sech2-type and csch2-type solitary wave solutions of three physically significant nonlinear wave equations which are called respectively the BBM equation, the Kaup-Kupershmidt equation and the generalized KdV equation are successfully derived in a uniform manner by means of this approach. The technique used herein can also be applied to find the sech2-type and csch2-type solitary wave solutions of other nonlinear wave equations.
