1) cubic nonlinear Klein-Gordon equation
立方非线性Klein-Gordon方程
1.
By using the traveling wave reduction method and the homogeneous balance method,the problem of the solving the system is transformed the problem of solving the ODE,and the exact solutions to the system are obtained with the aid of exact solutions to the cubic nonlinear Klein-Gordon equation.
利用行波约化方法和齐次平衡法,并借助一维立方非线性Klein-Gordon方程的精确解,将方程组的求解问题转变成一个常微分方程组的求解问题,并求出了此方程组新的精确解,最后给出耦合方程组的几组具体的精确解。
2) nonlinear Klein-Gordon equation
非线性Klein-Gordon方程
1.
A new function expansion method and new exact solutions to nonlinear Klein-Gordon equation;
新的函数展开法与非线性Klein-Gordon方程新的准确解
2.
A class nonlinear Klein-Gordon equation with harmonic potential:u_(tt)-Δu+|x|~2u+mu=a|u|~pu+b|u|~qu,x∈R~N,t>0,u=u(t,x):R~+×R~N→C is studied.
运用能量和微分、积分不等式技巧,讨论一类带调和势的非线性Klein-Gordon方程utt-Δu+|x|2u+mu=a|u|pu+b|u|qu,x∈RN,t>0,其中,u=u(t,x):R+×RN→C的初值问题,得到了在一定条件下解的不稳定性质。
3.
The new exact solutions and the solitary wave solutions are obtained by using transformation relation of the cubic nonlinear Klein-Gordon equation.
通过行波约化一类(2+1)维非线性波动方程和建立与立方非线性Klein-Gordon方程间变换的联系,由此得到其精确解和孤立波解。
3) nonlinear intensity Klein-Gordon-type equation
非线性强度Klein-Gordon型方程
4) coupled nonlinear Klein-Gordon equation
藕合非线性Klein-Gordon方程
1.
Improved F-expansion method and exact solutions for coupled nonlinear Klein-Gordon equation;
改进的F-展开方法和藕合非线性Klein-Gordon方程的精确解
5) nonlinear Klein-Gordon equation
非线性Klein-Gordon(NKG)方程
6) nonlinear Klein-Gordon equations
非线性Klein-Gordon方程组
1.
By constructing appropriate transform,solving the coupled nonlinear Klein-Gordon equations becomes to solving algebraic equations.
通过构造适当的函数变换,把求解非线性Klein-Gordon方程组转化为求解代数方程组,从而得到了非线性Klein-Gordon方程组的某些精确解。
补充资料：立方
①指数是3的乘方，如a3(a×a×a)，43(4×4×4)。②立方体的简称。③指立方米。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条