安徽大学学报(自然科学版)
安徽大學學報(自然科學版)
안휘대학학보(자연과학판)
JOURNAL OF ANHUI UNIVERSITY(NATURAL SCIENCES EDITION)
2012年
3期
37-42
,共6页
广义Zakhaarov方程组%广义Jacobi椭圆函数展开法%双周期解%精确解
廣義Zakhaarov方程組%廣義Jacobi橢圓函數展開法%雙週期解%精確解
엄의Zakhaarov방정조%엄의Jacobi타원함수전개법%쌍주기해%정학해
generalized Zakharov equations%generalized Jacobi elliptic function expansion method%doubly periodic solutions%exact solutions
通过广义Jacobi椭圆函数展开法,借助Mathematica软件,求出了广义Zakharov方程组一系列新的复合形式的双周期解,部分解在极限情况下退化为孤立波解和三角函数解.丰富、简化和发展了已有的结果.
通過廣義Jacobi橢圓函數展開法,藉助Mathematica軟件,求齣瞭廣義Zakharov方程組一繫列新的複閤形式的雙週期解,部分解在極限情況下退化為孤立波解和三角函數解.豐富、簡化和髮展瞭已有的結果.
통과엄의Jacobi타원함수전개법,차조Mathematica연건,구출료엄의Zakharov방정조일계렬신적복합형식적쌍주기해,부분해재겁한정황하퇴화위고립파해화삼각함수해.봉부、간화화발전료이유적결과.
In this paper,some new complex doubly periodic solutions to the generalized Zakharov equations are obtained by using the generalized Jacobi elliptic function expansion method with the aid of methematica software,some of which were degenerated to the solitary wave solutions and the triangular function solutions in the limit cases.This method replenished,simplified and developed the known results.