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Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein–Gordon–Zakharov equation

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  • Akbulut, Arzu
  • Taşcan, Filiz

Abstract

We found trivial conservation laws by conservation theorem and exact solutions modified extended tanh-function method of (1+1)-dimensional nonlinear coupled Klein–Gordon–Zakharov equation. The travelling wave solutions are expressed by the hyperbolic, trigonometric and rational functions. It is shown that the suggested method provides a powerful mathematical instrument for solving nonlinear equations in the science of mathematics, physics and engineering.

Suggested Citation

  • Akbulut, Arzu & Taşcan, Filiz, 2017. "Application of conservation theorem and modified extended tanh-function method to (1+1)-dimensional nonlinear coupled Klein–Gordon–Zakharov equation," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 33-40.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:33-40
    DOI: 10.1016/j.chaos.2017.07.025
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    References listed on IDEAS

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    1. Chen, Yong & Yan, Zhenya, 2006. "The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 948-964.
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    3. Jing Chen & Ling Liu & Li Liu, 2014. "Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-8, April.
    4. Zdravković, Slobodan & Kavitha, Louis & Satarić, Miljko V. & Zeković, Slobodan & Petrović, Jovana, 2012. "Modified extended tanh-function method and nonlinear dynamics of microtubules," Chaos, Solitons & Fractals, Elsevier, vol. 45(11), pages 1378-1386.
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