Journal
NONLINEAR DYNAMICS
Volume 78, Issue 2, Pages 1101-1107Publisher
SPRINGER
DOI: 10.1007/s11071-014-1499-6
Keywords
DJKM equation; Bell polynomials; Symbolic computation; Lax pair; Conservation laws; Multi-shock wave solutions
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Funding
- National Natural Science Foundation of China [11071159]
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The integrability and multi-shock wave solutions of the DJKM equation are studied by means of Bell polynomials scheme, Hirota bilinear method, and symbolic computation. A more generalized bilinear system of the DJKM equation is constructed via Bell polynomials scheme. Moreover, Lax pair and infinite conservation laws of this equation are first obtained via its corresponding Bell-polynomials-type Backlund transformation. Furthermore, the multi-shock wave solutions are also obtained by applying standard Hirota bilinear method, and the propagation and collision of shock waves are graphically demonstrated by graphs.
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