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Exact compacton and generalized kink wave solutions of the extended reduced Ostrovsky equation
Authors:Shaolong Xie  Jionghui Cai
Institution:1. Faculty of Science, Ningbo University, Ningbo 315211, China;2. School of Mathematical and Statistical Sciences, The University of Texas Rio Grande Valley, Edinburg, TX 78539, United States;3. School of Computer Science, Shaanxi Normal University, Xi’an 710119, China;1. UMR 7365 CNRS-Université de Lorraine, Ingénierie Moléculaire et Physiopathologie Articulaire (IMoPA), Biopôle de l’Université de Lorraine, Campus Biologie-Santé, 9 Avenue de la forêt de Haye, CS 50184, 54505 Vand?uvre-lès-Nancy, France;2. Plateforme d?Imagerie Cellulaire et Tissulaire PTIBC-IBISA, FR3209 CNRS-INSERM-Université de Lorraine Bio-ingénierie Moléculaire, Cellulaire et Thérapeutique (BMCT), Biopôle de l’Université de Lorraine, Campus Biologie-Santé, Vand?uvre-lès-Nancy, France;3. Département de Pharmacologie Clinique et Toxicologie, Hôpital Central, CHU de Nancy, France;1. Unidad de Biofísica (CSIC,UPV/EHU) and Departamento de Bioquímica, Universidad del País Vasco, Bilbao, Spain;2. OWL, Parque Científico y Tecnológico de Bizkaia, Bizkaia, Spain;3. Structural Biology Unit, Center for Cooperative Research in Biosciences, CICbiogune, Derio, Spain
Abstract:The extended reduced Ostrovsky equation (EX-ROE) are investigated by using the bifurcation method of planar systems and simulation method of differential equations. The bifurcation phase portraits are drawn in different regions of parameter plane. The planar graphs of the compactons and the generalized kink waves are simulated by using software Maple. Exact explicit parameter expressions of the compactons and implicit expressions of the generalized kink wave solutions are given. The dynamic behavior of these solutions are also investigated.
Keywords:
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