Stability of multi-compacton solutions and Backlund transformation in K(m,n,1) |
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| Institution: | 1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;2. Key Laboratory of Meteorological Disaster (KLME), Ministry of Education & Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disasters (CIC-FEMD), Nanjing University of Information Science and Technology, Nanjing 210044, China;3. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China;1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi''an 710072, PR China;2. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi''an 710129, PR China;3. State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi''an Jiaotong University, Xi''an 710049, PR China |
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| Abstract: | We introduce a fifth-order K(m,n,1) equation with nonlinear dispersion to obtain multi-compacton solutions by Adomian decomposition method. Using the homogeneous balance (HB) method, we derive a Backlund transformation of a special equation K(2,2,1) to determine some solitary solutions of the equation. To study the stability of multi-compacton solutions in K(m,n,1) and to obtain some conservation laws, we present a similar fifth-order equation derived from Lagrangian. We finally show the linear stability of all obtained multi-compacton solutions. |
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