CAJ | 학술논문

万方数据

兰州大学学报（自然科学版） 란주대학학보（자연과학판）
JOURNAL OF LANZHOU UNIVERSITY（NATURAL SCIENCES）
2007年 5期 111-116 ,共6页

冯胜章%李彦刚%田丽娜%周宇斌馮勝章%李彥剛%田麗娜%週宇斌

풍성장%리언강%전려나%주우빈

新的Hamiltonian振幅方程%F-展式法%周期波解%Jacobi椭圆函数%孤立波新的Hamiltonian振幅方程%F-展式法%週期波解%Jacobi橢圓函數%孤立波
신적Hamiltonian진폭방정%F-전식법%주기파해%Jacobi타원함수%고립파
new Hamiltonian amplitude equation%F-expansion method%periodic wave solution%Jacobi elliptic function%solitary wave solution

由扩展的F-展开法获得了一个新的Hamiltonian振幅方程的新形式的周期波解.在极限情形得到了由双曲函数和三角函数表示的解.作为特别情形,得到了非线性Schr(o)dinger方程的相应解.
유확전적F-전개법획득료일개신적Hamiltonian진폭방정적신형식적주기파해.재겁한정형득도료유쌍곡함수화삼각함수표시적해.작위특별정형,득도료비선성Schr(o)dinger방정적상응해.
The new form periodic wave solutions for a new Hamiltonian amplitude equation are obtained by the extended F-expansion method. We can simultaneously obtain many periodic wave solutions expressed by various Jacobi elliptic functions for the new Hamiltonian amplitude equation introduced by M. Wadati et al. In the limit case, the hyperbolic function solutions and trigonometric function solutions are given, respectively. Especially, when the parameter ε goes to zero, the new Hamiltonian amplitude equation becomes the well-known nonlinear Schr(o)dinger (NLS) equation, whose solutions can be derived from the solutions of the new Hamiltonian amplitude equation.