%0 Journal Article
%T Two-Mode Wave Solutions to the Degasperis--Procesi Equation<br>
%A ZHANG Zheng-Di
%A BI Qin-Sheng
%A <br>
%J 中国物理快报
%D 2008
%I 
%X By introducing a new type of solutions, called the multiple-mode wave solutions which can be expressed in nonlinear superposition of single-mode waves with different speeds, we investigate the two-mode wave solutions in Degasperis--Procesi equation and two cases are derived. The explicit expressions for the two-mode waves as well as the existence conditions are presented. It is shown that the two-mode waves may be the nonlinear combinations of many types of single-mode waves, such as periodic waves, solitons, compactons, etc., and more complicated multiple-mode waves can be obtained if higher order or more single-mode waves are taken into consideration. It is pointed out that the two-mode wave solutions can be employed to display the typical mechanism of the interactions between different single-mode waves.
%K 05
%K 45
%K Yv
%K 05
%K 45
%K -a<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=CF9990246A81A7BD6BDAA775413E10BC&yid=67289AFF6305E306&vid=C5154311167311FE&iid=59906B3B2830C2C5&sid=5F181AACE3D53ACE&eid=8C9EE705A8810387&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0