Jang, Bongsoo New exact travelling wave solutions of nonlinear Klein-Gordon equations. (English) Zbl 1198.35153 Chaos Solitons Fractals 41, No. 2, 646-654 (2009). Summary: New solutions of the auxiliary equation are presented. By using those solutions, many exact travelling wave solutions for the several nonlinear Klein-Gordon equations are explicitly obtained.Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control. Cited in 8 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35Q51 Soliton equations PDF BibTeX XML Cite \textit{B. Jang}, Chaos Solitons Fractals 41, No. 2, 646--654 (2009; Zbl 1198.35153) Full Text: DOI OpenURL References: [1] Abdou, M.A., The extended F-expansion method and its application for a class of nonlinear evolution equations, Chaos, solitons & fractals, 31, 1, 95-104, (2007) · Zbl 1138.35385 [2] Jianbin, Liu; Lei, Yang; Kongqing, Yang, Jacobi elliptic function solutions of some nonlinear pdes, Phys lett A, 325, 3-4, 268-275, (2004) · Zbl 1161.35489 [3] Liu, Jianbin; Yang, Kongqing, The extended F-expansion method and exact solutions of nonlinear pdes, Chaos, solitons & fractals, 22, 1, 111-121, (2004) · Zbl 1062.35105 [4] Malfliet, W., The tanh method: I. exact solutions of nonlinear evolution and wave equations, Phys scripta, 54, 563-568, (1996) · Zbl 0942.35034 [5] Malfliet, W., The tanh method: II. perturbation technique for conservative systems, Phys scripta, 54, 569-575, (1996) · Zbl 0942.35035 [6] Sheng, Zhang, Further improved F-expansion method and new exact solutions of kadomstev – petviashvili equation, Chaos, solitons & fractals, 32, 4, 1375-1383, (2007) · Zbl 1130.35116 [7] Sirendaoreji, Exact travelling wave solutions for four forms of nonlinear klein – gordon equations, Phys lett A, 363, 440-447, (2007) · Zbl 1197.35166 [8] Sirendaoreji, Auxiliary equation method and new solutions of klein – gordon equations, Chaos, solitons & fractals, 31, 943-950, (2007) · Zbl 1143.35341 [9] Sirendaoreji, A new auxiliary equation and exact travelling wave solutions of nonlinear equations, Phys lett A, 356, 2, 124-130, (2006) · Zbl 1160.35527 [10] Sirendaoreji; Jiong, Sun, Auxiliary equation method for solving nonlinear partial differential equations, Phys lett A, 309, 387-396, (2003) · Zbl 1011.35035 [11] Wazwaz, Abdul-Majid, Compacton, solitons and periodic solutions for some forms of nonlinear klein – gordon equations, Chaos, solitons & fractals, 28, 4, 1005-1013, (2006) · Zbl 1099.35125 [12] Wazwaz, Abdul-Majid, Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations, Chaos, solitons & fractals, 28, 1, 127-135, (2006) · Zbl 1088.35544 [13] Wazwaz, Abdul-Majid, The tanh method: solitons and periodic solutions for the dodd – bullough – mikhailov and the tzitzeica – dodd – bullough equations, Chaos, solitons & fractals, 25, 1, 55-63, (2005) · Zbl 1070.35076 [14] Wazwaz, Abdul-Majid, The tanh and the sine – cosine methods for compact and noncompact solutions of the nonlinear klein – gordon equation, Appl math comput, 167, 1179-1195, (2005) · Zbl 1082.65584 [15] Zhou, Yubin; Wang, Mingliang; Wang, Yueming, Periodic wave solutions to a coupled KdV equations with variable coefficients, Phys lett A, 308, 3136, (2003) · Zbl 1008.35061 [16] Zhou, Yubin; Wang, Mingliang; Miao, Tiande, The periodic wave solutions and solitary wave solutions for a class of nonlinear partial differential equations, Phys lett A, 323, 77-88, (2004) · Zbl 1118.81480 [17] Wang, Mingliang, Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics, Phys lett A, 216, 1-5, 67-75, (1996) · Zbl 1125.35401 [18] Wang, Mingliang, Solitary wave solutions for variant Boussinesq equations, Phys lett A, 199, 3-4, 69-172, (1995) [19] Yu, Yaxuan; Wang, Qi.; Zhang, Hongqing, The extended Jacobi elliptic function method to solve a generalized hirota – satsuma coupled KdV equations, Chaos, solitons & fractals, 26, 5, 1415-1421, (2005) · Zbl 1106.35087 [20] Zhang, Huiqun, New exact Jacobi elliptic function solutions for some nonlinear evolution equations, Chaos, solitons & fractals, 32, 2, 653-660, (2007) · Zbl 1139.35394 [21] Zhang, Huiqun, New exact travelling wave solutions for some nonlinear evolution equations, part II, Chaos, solitons & fractals, 37, 5, 1328-1334, (2008) · Zbl 1142.35590 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.