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ÎÄÕ±êÌ⣺Smoothness property of traveling wave solutions in a modified Kadomtsev-Petviashvili equation ×÷Õߣº Lina Zhang, Feng Li, Xianglin Han ·¢±íÓÚ£º Journal of Nonlinear Science and Applications, 2016(9): 2208-2216. |
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https://apps.webofknowledge.com/ ... age=1&doc=1 Smoothness property of traveling wave solutions in a modified Kadomtsev-Petviashvili equation ×÷Õß:Zhang, LN (Zhang, Lina)[ 1 ] ; Li, F (Li, Feng)[ 2 ] ; Han, XL (Han, Xianglin)[ 1 ] JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS ¾í: 9 ÆÚ: 5 Ò³: 2208-2216 ³ö°æÄê: 2016 ²é¿´ÆÚ¿¯ÐÅÏ¢ JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS ³ö°æÉÌ INT SCIENTIFIC RESEARCH PUBLICATIONS, 14, 4TH FAJR, NOOR ST, AMOL, 4617654553, IRAN ISSN: 2008-1898 eISSN: 2008-1901 Ñо¿ÁìÓò Mathematics ÕªÒª In this paper, dynamical systems theory is applied to investigate the smooth property of traveling wave solutions for a modified Kadomtsev-Petviashvili equation. The results of our study demonstrate that an abundant of smooth traveling waves arise when their corresponding orbits have intersection points with the singular straight line. In some conditions, exact parametric representations of these smooth waves in explicit or implicit forms are obtained. (C) 2016 All rights reserved. ¹Ø¼ü´Ê ×÷Õ߹ؼü´Ê:Bifurcation method; smooth wave solution; singular traveling wave system; mKP equation ×÷ÕßÐÅÏ¢ ͨѶ×÷ÕßµØÖ·: Zhang, LN (ͨѶ×÷Õß) Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China. ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ Huzhou University µØÖ·: [ 1 ] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ Huzhou University [ 2 ] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China ÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ Linyi University µç×ÓÓʼþµØÖ·:zsdzln@126.com; lifeng@lyu.edu.cn; xlhan@hutc.zj.cn »ù½ð×ÊÖúÖÂл »ù½ð×ÊÖú»ú¹¹ ÊÚȨºÅ National Natural Science Foundation of China 61473332 11272120 Zhejiang Provincial Natural Science Foundation of China LQ14A010009 LQ13A010005 ²é¿´»ù½ð×ÊÖúÐÅÏ¢¹Ø±Õ»ù½ð×ÊÖúÐÅÏ¢ The work was partially supported by the National Natural Science Foundation of China (Nos. 61473332 and 11272120) and Zhejiang Provincial Natural Science Foundation of China under Grant Nos. LQ14A010009 and LQ13A010005. ³ö°æÉÌ INT SCIENTIFIC RESEARCH PUBLICATIONS, 14, 4TH FAJR, NOOR ST, AMOL, 4617654553, IRAN Àà±ð / ·ÖÀà Ñо¿·½Ïò:Mathematics Web of Science Àà±ð:Mathematics, Applied; Mathematics ÎÄÏ×ÐÅÏ¢ ÎÄÏ×ÀàÐÍ:Article ÓïÖÖ:English Èë²ØºÅ: WOS:000376724600024 ISSN: 2008-1898 eISSN: 2008-1901 ÆäËûÐÅÏ¢ IDS ºÅ: DM9ZQ Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 16 Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0 JCR® Àà±ð JCR ·ÖÇø MATHEMATICS Q1 MATHEMATICS, APPLIED Q2 Êý¾ÝÀ´×ÔµÚ 2015 °æ Journal Citation Reports® |
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