Journal
NONLINEAR DYNAMICS
Volume 67, Issue 3, Pages 2279-2290Publisher
SPRINGER
DOI: 10.1007/s11071-011-0145-9
Keywords
Generalized (2+1)-dimensional Gardner model with t dependence; Bilinear method; Lax representation; Shock-wave- and/or solitary-wave-like solutions; Inelastic compression/amplification; Symbolic computation
Categories
Funding
- National Natural Science Foundation of China [60772023]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics [SKLSDE-2010ZX-07, SKLSDE-2011KF-03]
- National High Technology Research and Development Program of China (863 Program) [2009AA043303]
- Chinese Ministry of Education [200800130006]
- BUPT Excellent Ph.D. Students Foundation, Beijing University of Posts and Telecommunications [CX201131]
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In the present paper, with symbolic computation, a generalized (2+1)-dimensional Gardner model with t dependence is directly studied without any reductions into constant-coefficient form. Integrable properties are investigated, which mainly include the bilinear equations, bilinear Backlund transformation, Lax representation and analytic solutions. Dynamic properties and interaction mechanisms (inelastic compression/amplification interactions) for the shock waves are also revealed by means of the asymptotic analysis and graphical simulations.
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