许昌学院学报
許昌學院學報
허창학원학보
JOURNAL OF XUCHANG UNIVERSIYT
2012年
5期
1-5
,共5页
广义Hirota-Satsuma%coupled%KdV方程组%变系数辅助方程法%齐次平衡原则%精确行波解
廣義Hirota-Satsuma%coupled%KdV方程組%變繫數輔助方程法%齊次平衡原則%精確行波解
엄의Hirota-Satsuma%coupled%KdV방정조%변계수보조방정법%제차평형원칙%정학행파해
generalized Hirota-Satsuma coupled KdV equations%variable coefficient auxiliary equationmethod%homogeneous balance principle%exact traveling wave solution
利用变系数辅助方程法讨论了广义Hirota—SatsumacoupledKdV方程组的精确行波解．根据齐次平衡原理又借助Maple软件计算工具获得了新的精确行波解，并且通过所得结果可以获得系统无穷多组精确行波解，丰富了该方程组的解系．
利用變繫數輔助方程法討論瞭廣義Hirota—SatsumacoupledKdV方程組的精確行波解．根據齊次平衡原理又藉助Maple軟件計算工具穫得瞭新的精確行波解，併且通過所得結果可以穫得繫統無窮多組精確行波解，豐富瞭該方程組的解繫．
이용변계수보조방정법토론료엄의Hirota—SatsumacoupledKdV방정조적정학행파해．근거제차평형원리우차조Maple연건계산공구획득료신적정학행파해，병차통과소득결과가이획득계통무궁다조정학행파해，봉부료해방정조적해계．
The exact traveling wave solutions of the generalized Hirota-Satsuma coupled KdV equations are investigated by combining variable coefficient auxiliary equation method, homogeneous balance principle and the Maple software. Some new traveling wave solutions are obtained and infinite exact traveling solutions are also obtained which can enrich corresponding equation solutions.
