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Solitons, travelling waves, invariance, conservation laws and ‘approximate’ conservation of the extended Jimbo-Miwa equation

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  • Aljohani, A.F.
  • Alqurashi, Bader Mutair
  • Kara, A.H.

Abstract

We will make a detailed analysis of a class of the Jimbo-Miwa equation, viz., exact or invariant solutions that arise from the symmetries generated by it and the conservation laws of the equation. The equation, it turns out, is rich in its symmetry structure and produces a large class of conservation laws and what we term as ‘approximate’ conservation laws.

Suggested Citation

  • Aljohani, A.F. & Alqurashi, Bader Mutair & Kara, A.H., 2021. "Solitons, travelling waves, invariance, conservation laws and ‘approximate’ conservation of the extended Jimbo-Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    • Handle: RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077920310274
    DOI: 10.1016/j.chaos.2020.110636
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    References listed on IDEAS

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    1. Inc, Mustafa & Yusuf, Abdullahi & Aliyu, Aliyu Isa & Baleanu, Dumitru, 2018. "Lie symmetry analysis, explicit solutions and conservation laws for the space–time fractional nonlinear evolution equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 371-383.
    2. Ma, Wen-Xiu & Lee, Jyh-Hao, 2009. "A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1356-1363.
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