<正>In this paper,a variable-coefficient modified Korteweg-de Vries(vc-mKdV) equation is considered.Bilinear forms are presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function,then the one and two periodic wave solutions are presented,and it is also shown that the soliton solutions can be reduced from the periodic wave solutions.
【英文摘要】
In this paper,a variable-coefficient modified Korteweg-de Vries(vc-mKdV) equation is considered.Bilinear forms are presented to explicitly construct periodic wave solutions based on a multidimensional Riemann theta function,then the one and two periodic wave solutions are presented,and it is also shown that the soliton solutions can be reduced from the periodic wave solutions.
【基金】
Project supported by the National Natural Science Foundation of China(Grant Nos.10771196 and 10831003);
the Innovation Project of Zhejiang Province of China(Grant No.T200905)
【更新日期】
2013-05-13
【分类号】
O175
【正文快照】
1 .Introduetion It 15 well known that finding exaet soliton 50-lutions of nonlinear evolution equations(NLEEs)15always one of the eentral themes in mathematiesandp坤sies.【‘，21 A variety ofe旋etive methods forobtaining exaet solutions of NLEEs has been
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