(2+1)-dimensional Broer-Kaup system of shallow water waves and similarity solutions with symbolic computation

被引：26
作者：
Tian, B
Li, H
Gao, YT
机构：
[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100083, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100083, Peoples R China
[4] Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100083, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2005年 / 56卷 / 05期
关键词：
Broer-Kaup system; water waves; similarity solutions; symbolic computation;
D O I：
10.1007/s00033-005-3021-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Broer-Kaup system is among the important integrable models for the shallow water waves. For a (2+1)-dimensional Broer-Kaup system and with symbolic computation, we present some similarity solutions, which are expressible in terms of the Jacobian elliptic functions and second Painleve transcendent. Our results are in agreement with the Painleve conjecture.
引用
收藏
页码：783 / 790
页数：8
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