In this paper, a new auxiliary equation method is presented of constructing more new non-travelling wave solutions of nonlinear differential equations in mathematical physics, which is direct and more powerful than projective Riccati equation method. In order to illustrate the validity and the advantages of the method, (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equation is employed and many new double periodic non-travelling wave solutions are obtained. This algorithm can also be applied to other nonlinear differential equations.
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Dalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R China
Dalian Univ Technol, Dept Appl Math, Dalian, Peoples R ChinaDalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R China
Ren, Yu-Jie
Zhang, Da-Hai
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Dalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R ChinaDalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R China
Zhang, Da-Hai
Chen, Fang
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Dalian New Port Customs Clearance Tech Sch, Dept Math, Dalian, Peoples R ChinaDalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R China
Chen, Fang
Zhang, Hong-Qing
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Dalian Univ Technol, Dept Appl Math, Dalian, Peoples R ChinaDalian Inst Light Ind, Dept Math & Phys, Dalian, Peoples R China
机构:
Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R China
Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R ChinaShijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China
Shen, Yaliang
Zhu, Yueping
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Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R ChinaShijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China
Zhu, Yueping
Cao, Nanbin
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Shijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China
Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100080, Peoples R ChinaShijiazhuang Univ Econ, Sch Sci, Shijiazhuang 050031, Hebei, Peoples R China
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Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
Wang, Deng-Shan
Li, Hongbo
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Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R ChinaChinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China