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New exact travelling wave solutions of nonlinear Klein–Gordon equations

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  • Jang, Bongsoo

Abstract

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.

Suggested Citation

  • Jang, Bongsoo, 2009. "New exact travelling wave solutions of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 646-654.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:646-654
    DOI: 10.1016/j.chaos.2008.02.037
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    References listed on IDEAS

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    1. Sheng, Zhang, 2007. "Further improved F-expansion method and new exact solutions of Kadomstev–Petviashvili equation," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1375-1383.
    2. Yu, Yaxuan & Wang, Qi & Zhang, Hongqing, 2005. "The extended Jacobi elliptic function method to solve a generalized Hirota–Satsuma coupled KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1415-1421.
    3. Wazwaz, Abdul-Majid, 2006. "Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 127-135.
    4. El-Wakil, S.A. & Abulwafa, E.M. & Elhanbaly, A. & Abdou, M.A., 2007. "The extended homogeneous balance method and its applications for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1512-1522.
    5. Wazwaz, Abdul-Majid, 2006. "Compactons, solitons and periodic solutions for some forms of nonlinear Klein–Gordon equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1005-1013.
    6. Zhang, Huiqun, 2008. "New exact travelling wave solutions for some nonlinear evolution equations, Part II," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1328-1334.
    7. Abdou, M.A., 2007. "The extended F-expansion method and its application for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 95-104.
    8. Zhang, Huiqun, 2007. "New exact Jacobi elliptic function solutions for some nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 653-660.
    9. Wazwaz, Abdul-Majid, 2005. "The tanh method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 55-63.
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    Cited by:

    1. Zehra Pınar & Turgut Öziş, 2013. "The Periodic Solutions to Kawahara Equation by Means of the Auxiliary Equation with a Sixth-Degree Nonlinear Term," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, March.
    2. Çulha Ünal, Sevil & Daşcıoğlu, Ayşegül & Varol Bayram, Dilek, 2020. "New exact solutions of space and time fractional modified Kawahara equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).

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