桂林电子科技大学学报
桂林電子科技大學學報
계림전자과기대학학보
JOURNAL OF GUILIN UNIVERSITY OF ELECTRONIC TECHNOLOGY
2014年
1期
69-73
,共5页
程源泉%冯大河%余晶晶%贾荣
程源泉%馮大河%餘晶晶%賈榮
정원천%풍대하%여정정%가영
Fan子方程法%对称正则长波方程%行波解%周期解
Fan子方程法%對稱正則長波方程%行波解%週期解
Fan자방정법%대칭정칙장파방정%행파해%주기해
Fan sub-equation method%symmetric regularized long wave equation%travelling wave solution%periodic solution
为研究对称正则长波(SRLW)方程,采用 Fan 子方程法并借助 Maple 软件得到了该方程丰富的行波解:三角函数解、双曲函数解、双周期Jacobi椭圆函数解,并给出了解的数值模拟图。结果表明,Fan子方程法对求解非线性方程是一种非常有效的工具。
為研究對稱正則長波(SRLW)方程,採用 Fan 子方程法併藉助 Maple 軟件得到瞭該方程豐富的行波解:三角函數解、雙麯函數解、雙週期Jacobi橢圓函數解,併給齣瞭解的數值模擬圖。結果錶明,Fan子方程法對求解非線性方程是一種非常有效的工具。
위연구대칭정칙장파(SRLW)방정,채용 Fan 자방정법병차조 Maple 연건득도료해방정봉부적행파해:삼각함수해、쌍곡함수해、쌍주기Jacobi타원함수해,병급출료해적수치모의도。결과표명,Fan자방정법대구해비선성방정시일충비상유효적공구。
To study the symmetric regularized long wave equation,the Fan sub-equation method is used to investigate the ex-act wave solutions by Maple.As a result,some exact travelling wave solutions of the symmetric regularized long wave equa-tion are obtained,which include triangular function solutions,hyperbolic function solutions and Jacobi elliptic function solu-tions with double periods,meanwhile the numerical simulation graphics of the solutions are given.The results show that the method is a very effective method for solving the nonlinear equations.