ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS

Sherif Amirov; Mustafa Anutgan

doi:10.11948/2017098

2017 Volume 7 Issue 4

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Sherif Amirov, Mustafa Anutgan. ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1613-1623. doi: 10.11948/2017098

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Sherif Amirov, Mustafa Anutgan. ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(4): 1613-1623. doi: 10.11948/2017098

ANALYTICAL SOLITARY WAVE SOLUTIONS FOR THE NONLINEAR ANALOGUES OF THE BOUSSINESQ AND SIXTH-ORDER MODIFIED BOUSSINESQ EQUATIONS

1 Mathematics Department, Science Faculty, Karabuk University, 78050, Karabuk, Turkey;
2 Mechatronics Engineering Department, Technology Faculty, Karabuk University, Karabuk, 78050, Turkey

Abstract

Abstract

Using tanh function and polynomial function methods, analytical solitary wave solutions have been found for the nonlinear analogues of Boussinesq and sixth-order modified Boussinesq equations where the nonlinearity is in the time-derivative term.
- Nonlinear sixth-order modified Boussinesq equation /
- Tanh function method /
- Polynomial function method
MSC: 35Q51;35Q53

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References

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