caa a22 4500 44536047X CHVBK 20180317142913.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11071-010-9857-5 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9857-5 Extended double Wronskian solutions totheWhitham-Broer-Kaup equations in shallow water [Elektronische Daten] [Guo-Dong Lin, Yi-Tian Gao, Xiao-Ling Gai, De-Xin Meng] Whitham-Broer-Kaup (WBK) equations describing the propagation of shallow-water waves, with a variable transformation, are transformed into a generalized Ablowitz-Kaup-Newell-Segur system, the bilinear forms of which are obtained via the rational transformations. Employing the matrix extension and symbolic computation, we derive types of solutions of the WBK equations through the selection of different canonical matrices, including solitons, rational solutions, and complexitons. Furthermore, dynamic properties of the solutions are discussed graphically and a novel phenomenon is observed, i.e., the coexistence of the elastic-inelastic interactions without disturbing each other. Springer Science+Business Media B.V., 2010 Whitham-Broer-Kaup equations in shallow water nationallicence Lax pair nationallicence Bilinear form nationallicence Wronskian technique nationallicence Symbolic computation nationallicence Solitons nationallicence Rational solutions nationallicence Complexitons nationallicence Lin Guo-Dong Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut Gao Yi-Tian Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut Gai Xiao-Ling Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut Meng De-Xin Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 197-206 0924-090X 64:1-2<197 2011 64 11071 https://doi.org/10.1007/s11071-010-9857-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9857-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Guo-Dong Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut NATIONALLICENCE 700 1- Gao Yi-Tian Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut NATIONALLICENCE 700 1- Gai Xiao-Ling Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut NATIONALLICENCE 700 1- Meng De-Xin Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid Dynamics, Beijing University of Aeronautics and Astronautics, 100191, Beijing, China aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 64/1-2(2011-04-01), 197-206 0924-090X 64:1-2<197 2011 64 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer