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(1+1)维修正 Broer-Kaup-Kupershmidt 方程的G'/G展开和精确解

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使用G'/G展开方法对(1+1)维修正Broer-Kaup-Kupershmidt方程进行研究.对该方程进行行波变换,将非线性微分方程转变成常微分方程,并假设具有u(ξ)=n∑i=0ai(G'/G)i形式的解,通过平衡线性最高阶导数项与最高阶非线性项的幂次来确定正整数n,将确定n的拟设形式的解代入方程中,令同次幂项的系数为零,得到一个代数方程组并求解,最终得到非线性微分方程的拟设形式的精确解.
G'/G Expansion and Exact Solutions of(1+1)-Dimensional Modified Broer-Kaup-Kupershmidt Equation
The G'/G expansion method is used to solve the(1+1)-dimensional Modified Broer-Kaup-Kuperschmidt equation.Firstly,a traveling wave transformation is performed on the equation to transform the nonlinear differential equation into an ordinary differential equation.Let's assum a formal solution exists of u(ξ)=n∑i=0ai(G'/G)i,and then,a positive integer is determined by balancing the power of the linear highest order derivative term and the highest order nonlinear term.The proposed solution of n is substituted into the equation.Then,let us make the coefficient of the same power term zero,resulting in an algebraic equation system and it is solved.Finally,we obtain exact solutions in the assumed form of the nonlinear differential equation.

(1+1)-dimensional Modified Broer-Kaup-Kupershmidt equationG'/G expansionexact solutions

陈南、朱鸿翔

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厦门工学院,福建厦门 361021

(1+1)维修正Broer-Kaup-Kupershmidt方程 G'/G展开法 精确解

2024

长春师范大学学报
长春师范学院

长春师范大学学报

CHSSCD
影响因子:0.312
ISSN:1008-178X
年,卷(期):2024.43(10)