广西工学院学报
廣西工學院學報
엄서공학원학보
JOURNAL OF GUANGXI UNIVERSITY OF TECHNOLOGY
2012年
3期
4-14
,共11页
(2+1)维MNNV方程组%三波法%Hirota双线性算子%双呼吸类型孤立波解%呼吸类型孤立波解%周期孤立波解%三孤立波解%周期解
(2+1)維MNNV方程組%三波法%Hirota雙線性算子%雙呼吸類型孤立波解%呼吸類型孤立波解%週期孤立波解%三孤立波解%週期解
(2+1)유MNNV방정조%삼파법%Hirota쌍선성산자%쌍호흡류형고립파해%호흡류형고립파해%주기고립파해%삼고립파해%주기해
(2+1)-dimensional MNNV equations%three-wave method%Hirota double linear operator%double breather type of solitary-wave solution%breather type of solitary-wave solutions%periodic solitary-wave solution%three solitary-wave solution%periodic solution
利用＂三波法＂结合Hirota双线性算子,得到（2＋1）维Modified Nizhnik-Novikov-Vesselov方程组的双呼吸类型孤立波解、呼吸类型孤立波解、周期孤立波解、三孤立波解和周期解.结果表明,＂三波法＂是获得非线性偏微分方程孤立波解的一个有效的方法.
利用＂三波法＂結閤Hirota雙線性算子,得到（2＋1）維Modified Nizhnik-Novikov-Vesselov方程組的雙呼吸類型孤立波解、呼吸類型孤立波解、週期孤立波解、三孤立波解和週期解.結果錶明,＂三波法＂是穫得非線性偏微分方程孤立波解的一箇有效的方法.
이용＂삼파법＂결합Hirota쌍선성산자,득도（2＋1）유Modified Nizhnik-Novikov-Vesselov방정조적쌍호흡류형고립파해、호흡류형고립파해、주기고립파해、삼고립파해화주기해.결과표명,＂삼파법＂시획득비선성편미분방정고립파해적일개유효적방법.
A new type of three-wave solutions including double breather type of solitary-wave solution, breather type of solitary-wave solutions, periodic solitary-wave solution, three solitary-wave solution and periodic solution for the (2+1) -dimensional MNNV equations are obtained by using three-wave method with the aid of Hirota's bilinear form. It is shown that three-wave method is an effective method to obtain the solitary wave solutions of nonlinear partial differential equation.
