The Cole–Hopf transformation and improved tanh–coth method applied to new integrable system (KdV6)

S, Cesar A. Gómez; Salas, Alvaro H.

doi:10.1016/j.amc.2008.08.006

Cited by 49 publications

(31 citation statements)

References 4 publications

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“…The paper follow the sequence: In section 2., we use the improved tanhcoth method [6] to obtain exact traveling wave to Eq.(2). In Sec.…”

Section: Introductionmentioning

confidence: 99%

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Traveling wave solutions for Burgers-Sharma-Tasso-Olver equation with variable coefficients: the improved tanh-coth method vs. exp. function method

Gomez¹,

Hernández²

2017

ijma

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In this paper, we investigate the Burgers-Sharma-Tasso-Olver equation (B-STO) with variable coefficients from the point of view of its traveling wave solutions using the improved tanh-coth method and the Exp. function method. We show that from the solutions of the B-STO equation obtained applying the first method we can derive solutions to the classical Burgers equation as well as solutions to classical Sharma-Tasso-Olver equation, both with variable coefficients. Mathematics Subject Classification: 35C05

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“…The paper follow the sequence: In section 2., we use the improved tanhcoth method [6] to obtain exact traveling wave to Eq.(2). In Sec.…”

Section: Introductionmentioning

confidence: 99%

“…being C the integration constant. According with the improved tanh-coth method [6], we consider a solution to (6) by means of the expression…”

Section: Introductionmentioning

confidence: 99%

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Traveling wave solutions for Burgers-Sharma-Tasso-Olver equation with variable coefficients: the improved tanh-coth method vs. exp. function method

Gomez¹,

Hernández²

2017

ijma

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“…In this method ( ) = ∑ =0 + ∑ =1 − is used as traveling wave solutions. In 2008 Gómez and Salas [16] improved and generalized this method which is called the improved generalized tanh-coth method, by using ( ) = ∑ =0 ( ) + ∑…”

Section: Introductionmentioning

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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“…url: www.acadpubl.eu (see [5]) or any other classic methods known for this task. Our problem of interest in this work consists on determining the most general solution to the following fractional Burger equation…”

Section: Introductionmentioning

confidence: 99%

A Note on the Exact Solution for the Fractional Burgers Equation

S.¹

2014

Int. J. of Pure and Appl. Math.

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The Cole–Hopf transformation and improved tanh–coth method applied to new integrable system (KdV6)

Cited by 49 publications

References 4 publications

Traveling wave solutions for Burgers-Sharma-Tasso-Olver equation with variable coefficients: the improved tanh-coth method vs. exp. function method

Traveling wave solutions for Burgers-Sharma-Tasso-Olver equation with variable coefficients: the improved tanh-coth method vs. exp. function method

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

A Note on the Exact Solution for the Fractional Burgers Equation

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