Boussinesq-Burgers方程新的精确解  

New Solutions to Boussinesq-Burgers Equation

作　　者：史良马[1] 张世军[1] 朱仁义[1] 

机构地区：[1]巢湖学院电子工程与电气自动化学院,安徽巢湖238000

出　　处：《量子光学学报》2013年第1期18-25,共8页Journal of Quantum Optics

基　　金：安徽省高校省级科学研究重点项目(KJ2012A203);巢湖学院博士启动基金项目

摘　　要：基于改进的投影Riccati方程的解,提出一种新的构造非线性演化方程精确解的方法。通过这种方法,我们得到了Boussinesq-Burgers方程各种类型的精确解,包括Jacobi和Weierstrass周期函数解。这种方法与数学软件Maple结合,简单易行,有助于探索其他非线性演化方程的精确解。A new method of constructing exact solutions to nonlinear equation is introduced on the basis of the improved projective Riccati equations, and it is applied as an intermediate in expansion method to solve Boussinesq-Burgers equation. Many kinds of travelling wave solutions including Jacobi and Weierstrass elliptic function periodic are obtained. Besides many new results are obtained, too. With the help of Maple software, the proposed method can be also extended to construct more new exact solutions of some nonlinear evolution equations in mathematical physics.

关 键 词：Boussinesq-Burgers方程 RICCATI方程 精确解 Jacobi函数 WEIERSTRASS函数 

分 类 号：O431[机械工程—光学工程]