VARIATIONAL ITERATION METHOD COMBINED WITH THE IMPROVED GENERALIZED tanh-coth METHOD FOR THE GENERALIZED (1+1)-DIMENSIONAL AND (2+1)-DIMENSIONAL ITO EQUATIONS

Torvattanabun, Montri; Koonprasert, Sanoe

doi:10.17654/ms100081339

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2017

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“…Afterwards, several researchers applied this method to obtain new exact solutions for nonlinear PDEs [17][18][19][20].…”

Section: = +1mentioning

confidence: 99%

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

Torvattanabun

Simmapim

Saennuad

et al. 2017

Journal of Mathematics

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The improved generalized tanh-coth method is used in nonlinear sixth-order solitary wave equation. This method is a powerful and advantageous mathematical tool for establishing abundant new traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions, and rational functions solutions. The numerical results were obtained with the aid of Maple.

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“…Afterwards, several researchers applied this method to obtain new exact solutions for nonlinear PDEs [17][18][19][20].…”

Section: = +1mentioning

confidence: 99%

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

Torvattanabun

Simmapim

Saennuad

et al. 2017

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

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Exact traveling wave solutions to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation using the VIM combined with the improved generalized tanh-coth method

Torvattanabun¹,

Koonprasert²

2017

ams

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In this paper, we consider the Zakharov-Kuznetsov-Benjamin Bona Mahony nonlinear evolution equation and use the variational iteration method combined with the improved generalized tanh-coth method. This method is a powerful and advantageous mathematical tool for establishing abundant exact traveling wave solutions of nonlinear partial differential equations. The new exact solutions consisted of trigonometric functions solutions, hyperbolic functions solutions, exponential functions solutions and rational functions solutions. We obtain exact solutions of the Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation by using the variational iteration method combined with the improved generalized tanh-coth method.

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VARIATIONAL ITERATION METHOD COMBINED WITH THE IMPROVED GENERALIZED tanh-coth METHOD FOR THE GENERALIZED (1+1)-DIMENSIONAL AND (2+1)-DIMENSIONAL ITO EQUATIONS

Cited by 2 publications

References 0 publications

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation

Exact traveling wave solutions to the Zakharov-Kuznetsov-Benjamin-Bona-Mahony nonlinear evolution equation using the VIM combined with the improved generalized tanh-coth method

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