Exact solutions, including the periodic travelling and non-travelling wave solutions, are presented for the nonlinear Klein-Gordon equation with imaginary mass. Some arbitrary functions are permitted in the periodic non-travelling wave solutions, which contribute to various high dimensional nonlinear structures. (C) 2007 Elsevier B.V. All rights reserved.
机构:
Bashkir State Univ, Ufa 450076, RussiaBashkir State Univ, Ufa 450076, Russia
Salimov, R. K.
Ekomasov, E. G.
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Bashkir State Univ, Ufa 450076, Russia
Univ Tyumen, Tyumen 625003, Russia
South Ural State Univ, Chelyabinsk 454080, RussiaBashkir State Univ, Ufa 450076, Russia
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