The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation.
S. Akçağıl, O. Gözükızıl
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Exact Solutions of Gardner Equations through tanh-coth Method
In this paper, we apply the tanh-coth method and traveling wave transformation method for solving Gardner equations, including (1 + 1)-Gardner and (2 + 1)- Gardner equations. The tanh-coth method proved to be reliable and effective in handling a large number of nonlinear dispersive and disperse equations. Through tanh-coth method, we get analytical
Lin Lin +3 more
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The tanh-coth method for some nonlinear pseudoparabolic equations with exact solutions [PDF]
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Ömer Faruk Gözükızıl +1 more
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In this work, new interesting types of periodic solutions to the damped (2+1)-dimensional Schrodinger equation are extracted by applying new modifications of both rational sine–cosine and sinh–cosh techniques, and also by implementing the extended tanh ...
Mohammed Ali +2 more
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The Impact of the Wiener Process on the Analytical Solutions of the Stochastic (2+1)-Dimensional Breaking Soliton Equation by Using Tanh–Coth Method [PDF]
The stochastic (2+1)-dimensional breaking soliton equation (SBSE) is considered in this article, which is forced by the Wiener process. To attain the analytical stochastic solutions such as the polynomials, hyperbolic and trigonometric functions of the ...
Farah M. Al-Askar +3 more
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Exact solution of the Bogoyavlenskii equation using the improved tanh-coth method
An improved tanh-coth method is used to obtain exact solutions of the Bogoyavlenskii equation. The obtained solutions are given in a more general form than those obtained in previous literature. One of the most important facts in the paper is that we consider the arbitrary constant derived from a rst integration when the equation is ordinary which is a
Cesar A. Gomez S.
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Wazwaz [Appl. Math. Comput 195, 24–33 (2008)] has used the tanh‐coth function method to find the solutions of the Pochhammer‐Chree equation (1). In this article, we have applied the (G′G)‐expansion method to solve the same equation. We have noted that both of these methods give the same solutions. Furthermore, we have shown in theorem 1, that the (G′G)‐
Nikolay A. Kudryashov +1 more
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Periodic, Singular and Dark Solitons of a Generalized Geophysical KdV Equation by Using the Tanh-Coth Method [PDF]
KdV equations have a lot of applications of in fluid mechanics. The exact solutions of the KdV equations play a vital role in the wave dynamics of fluids. In this paper, some new exact solutions of a generalized geophysical KdV equation are computed with the aid of tanh-coth method.
Surapol Naowarat +3 more
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Solitary wave structures of a family of 3D fractional WBBM equation via the tanh–coth approach
The fractional nonlinear partial differential equation (FNLPDE), such as the family of 3D fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations, are investigated in this work. We engage the tanh–coth method for this family of FNLPDE to obtain different
Abdulla - Al - Mamun +4 more
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Deriving analytical solutions for the fractional Burgers-Huxley (FBH) equation: the role of the Tanh-Coth method [PDF]
Ali Satty +4 more
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