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On a study of some classes of the fourth-order KdV–Klein/Gordon equation and its time fractional forms

Author

Listed:
  • Aljohani, A.F.
  • Hussain, Q.
  • Zaman, F.D.
  • Kara, A.H.

Abstract

We study, using various approaches, the fourth-order KdV–Klein/Gordon PDE, viz., using the symmetry approach to reduction with some numerical method when the reduced version is no longer be solvable analytically. Then, we consider the fractional time evolution second-order Gordon type and fourth-order KdV–Klein/Gordon equations using the invariance approach when adapted to fractional PDEs. In the latter case, we show how conservation laws are constructed using the Lie symmetries. As usual, the conserved densities may be used to calculate conserved quantities.

Suggested Citation

  • Aljohani, A.F. & Hussain, Q. & Zaman, F.D. & Kara, A.H., 2021. "On a study of some classes of the fourth-order KdV–Klein/Gordon equation and its time fractional forms," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    • Handle: RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003829
    DOI: 10.1016/j.chaos.2021.111028
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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.
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