Journal
NONLINEAR DYNAMICS
Volume 74, Issue 1-2, Pages 429-438Publisher
SPRINGER
DOI: 10.1007/s11071-013-0980-y
Keywords
(2+1)-Dimensional variable coefficient Broer-Kaup system; Elastic interactions; Foldons; Anti-foldons
Categories
Funding
- National Natural Science Foundation of China [11005092]
- Zhejiang Provincial Natural Science Foundation of China [LY13F050006]
- Scientific Research Fund of Zhejiang Provincial Education Department [Y201225803]
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With the help of the improved tanh-function method, some exact variable separation solutions for a (2+1)-dimensional variable coefficient Broer-Kaup system in water waves are found. The detailed investigation indicates that these seemly independent variable separation solutions actually depend on each other. Based on the exact variable separation solution, completely and noncompletely elastic interactions between multi-valued foldons and anti-foldons are studied analytically and graphically.
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