caa a22 4500 445361689 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9936-7 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9936-7 Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves [Elektronische Daten] [Ying Liu, Yi-Tian Gao, Zhi-Yuan Sun, Xin Yu] Under investigation in this paper, with symbolic computation, is a forced variable-coefficient extended Korteweg-de Vries equation, which can describe the weakly-nonlinear long internal solitary waves (ISWs) in the fluid with the continuous stratification on density. By virtue of the Hirota bilinear method, multi-soliton solutions for such an equation with the external force term have been derived. Furthermore, effects are discussed with the aid of the characteristic line: (I) Inhomogeneities of media and nonuniformities of boundaries, depicted by the variable coefficients, play a role in the soliton behavior; (II) Solitons change their initial propagation direction on the compact shock or anti-shock wave background in the presence of the external time-dependent force, and the results present an extended view compared with that for the linear theory; (III)Combined effects of the inhomogeneities and external force are regarded as the nonlinear composition of the independent influence induced by the two factors. Those results could be expected to be helpful for the investigation on the dynamics of the ISWs in an ocean or atmosphere stratified fluid. Springer Science+Business Media B.V., 2011 Forced variable-coefficient extended Korteweg-de Vries equation nationallicence Hirota bilinear method nationallicence Characteristic line nationallicence Solitons nationallicence Inhomogeneities nationallicence External force nationallicence Symbolic computation nationallicence Liu Ying 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 Sun Zhi-Yuan 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 Yu 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 66/4(2011-12-01), 575-587 0924-090X 66:4<575 2011 66 11071 https://doi.org/10.1007/s11071-010-9936-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9936-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Liu Ying 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- Sun Zhi-Yuan 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- Yu 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 66/4(2011-12-01), 575-587 0924-090X 66:4<575 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer