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Exact Traveling Wave Solutions to the (2 + 1)‐Dimensional Jaulent‐Miodek Equation

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  • Yongyi Gu
  • Bingmao Deng
  • Jianming Lin

Abstract

We derive exact traveling wave solutions to the (2 + 1)‐dimensional Jaulent‐Miodek equation by means of the complex method, and then we illustrate our main result by some computer simulations. It has presented that the applied method is very efficient and is practically well suited for the nonlinear differential equations that arise in mathematical physics.

Suggested Citation

  • Yongyi Gu & Bingmao Deng & Jianming Lin, 2018. "Exact Traveling Wave Solutions to the (2 + 1)‐Dimensional Jaulent‐Miodek Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:5971646
    DOI: 10.1155/2018/5971646
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    References listed on IDEAS

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    1. Yuan, Wenjun & Meng, Fanning & Huang, Yong & Wu, Yonghong, 2015. "All traveling wave exact solutions of the variant Boussinesq equations," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 865-872.
    2. Yanping Guo & Xuefei Lv & Yude Ji & Yongchun Liang, 2014. "The Existence of Positive Solutions for a Fourth-Order Difference Equation with Sum Form Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, July.
    3. Yanping Guo & Xuefei Lv & Yude Ji & Yongchun Liang, 2014. "The Existence of Positive Solutions for a Fourth‐Order Difference Equation with Sum Form Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Yaohong Li & Xiaoyan Zhang, 2014. "Positive Solutions for Systems of Nonlinear Higher Order Differential Equations with Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    5. Yaohong Li & Xiaoyan Zhang, 2014. "Positive Solutions for Systems of Nonlinear Higher Order Differential Equations with Integral Boundary Conditions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, March.
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