[HTML][HTML] New solutions of the soliton type of shallow water waves and superconductivity models

MA Akbar, FA Abdullah, MT Islam, MA Al Sharif… - Results in Physics, 2023 - Elsevier
For uni-directional wave transmission in the smooth bottom of shallow sea water and the
superconductivity of nonlinear media with dispersion systems, the (1+ 1)-dimensional …

The tanh method: I. Exact solutions of nonlinear evolution and wave equations

W Malfliet, W Hereman - Physica Scripta, 1996 - iopscience.iop.org
A systemized version of the tanh method is used to solve particular evolution and wave
equations. If one deals with conservative systems, one seeks travelling wave solutions in the …

The tanh method for traveling wave solutions of nonlinear equations

AM Wazwaz - Applied Mathematics and Computation, 2004 - Elsevier
The tanh method for traveling wave solutions of nonlinear equations - ScienceDirect Skip to
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[HTML][HTML] The tanh method: a tool for solving certain classes of nonlinear evolution and wave equations

W Malfliet - Journal of Computational and Applied Mathematics, 2004 - Elsevier
The tanh (or hyperbolic tangent) method is a powerful technique to search for travelling
waves coming out from one-dimensional nonlinear wave and evolution equations. In …

The extended tanh method for new solitons solutions for many forms of the fifth-order KdV equations

AM Wazwaz - Applied Mathematics and Computation, 2007 - Elsevier
The extended tanh method is used to derive new solitons solutions for several forms of the
fifth-order nonlinear KdV equation. The forms include the Lax, Sawada–Kotera (SK) …

The tanh–coth method for solitons and kink solutions for nonlinear parabolic equations

AM Wazwaz - Applied Mathematics and Computation, 2007 - Elsevier
The tanh–coth method is used to derive solitons and kink solutions for some of the well-
known nonlinear parabolic partial differential equations. The equations include the Fisher …

The tan h method: solitons and periodic solutions for the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–Bullough equations

AM Wazwaz - Chaos, Solitons & Fractals, 2005 - Elsevier
The tanh method is applied to the Dodd–Bullough–Mikhailov and the Tzitzeica–Dodd–
Bullough equations. Solitons and periodic solutions for these equations are formally derived …

The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations

AM Wazwaz - Applied Mathematics and Computation, 2005 - Elsevier
The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations -
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Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh–coth method

AM Wazwaz - Applied Mathematics and Computation, 2007 - Elsevier
In this work we use the Hirota's direct method combined with the simplified version of this
method to determine the N-soliton solutions, N= 1, 2, 3, 4, 5 for the Kadomtsev–Petviashvili …

Construction of different types of traveling wave solutions of the relativistic wave equation associated with the Schrödinger equation

A Yokuş - Mathematical Modelling and Numerical Simulation with …, 2021 - dergipark.org.tr
In this study, an alternative method has been applied to obtain the new wave solution of
mathematical equations used in physics, engineering, and many applied sciences. We …