数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2011年
1期
35-42
,共8页
共振长短波方程%扩展映射法%孤波解
共振長短波方程%擴展映射法%孤波解
공진장단파방정%확전영사법%고파해
long-short wave resonance equations%extended mapping method%soliton solutions
本文研究了共振长短波方程的孤波解.利用扩展映射法和符号计算,得到许多新的孤波解.这些孤波解能很好地模拟水波,辅助方程用更一般方程代替的扩展映射法能更有效找到这些孤波解.
本文研究瞭共振長短波方程的孤波解.利用擴展映射法和符號計算,得到許多新的孤波解.這些孤波解能很好地模擬水波,輔助方程用更一般方程代替的擴展映射法能更有效找到這些孤波解.
본문연구료공진장단파방정적고파해.이용확전영사법화부호계산,득도허다신적고파해.저사고파해능흔호지모의수파,보조방정용경일반방정대체적확전영사법능경유효조도저사고파해.
In this article,soliton solutions of the long-short wave resonance equations are investigated.By the extended mapping method and symbolic computation,many new exact soliton solutions are obtained.These soliton solutions are fascinating in modeling water waves.The extended mapping method,with the auxiliary ordinary equations replaced by more general ones,is more effective to find these soliton solutions.
