期刊
PRAMANA-JOURNAL OF PHYSICS
卷 76, 期 6, 页码 819-829出版社
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-011-0105-4
关键词
Travelling wave solutions; tanh-coth function method; Riccati equations; symbolic computation
资金
- Korean Government (Ministry of Education, Science and Technology) [NFR-2010-355-C00009]
The surface water waves in a water tunnel can be described by systems of the form [Bona and Chen, Physica D116, 191 (1998)] {v(t) + u(x) + (uv)(x) + au(xxx) - bv(xxt) = 0, u(t) + v(x) + uu(x) + cv(xxx) - du(xxt) = 0, (1) where a, h, c and d are real constants. In general, the exact travelling wave solutions will be helpful in the theoretical and numerical study of the nonlinear evolution systems. In this paper, we obtain exact travelling wave solutions of system (1) using the modified tanh-coth function method with computerized symbolic computation.
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