Results 31 to 40 of about 8,502 (211)
Universe, 2022 In this scientific research article, the new Kudryashov method and the tanh-coth method, which have not been applied before, are employed to construct analytical and soliton solutions of the (2+1)-dimensional Hirota–Maccari system.
Neslihan Ozdemir +3 more
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Mathematics, 2022 A class of stochastic fractional diffusion equations with polynomials is considered in this article. This equation is used in numerous applications, such as ecology, bioengineering, biology, and mechanical and chemical engineering.
Wael W. Mohammed +4 more
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Results in Physics, 2021 In this study, the (2+1)-dimensional nonlinear Schrödinger equation with fractional-order derivative in both time and space is considered within the modified Riemann–Liouville derivatives.
Thilagarajah Mathanaranjan
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Partial Differential Equations in Applied Mathematics, 2023 The equations in which time derivative appears in the highest order derivative term are called pseudo-parabolic equations. In this article, we will propose new singular and dark soliton solutions to a few such equations.
M. Usman +4 more
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Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative
Mathematics, 2022 In this paper, we consider the (4+1)-dimensional fractional Fokas equation (FFE) with an M-truncated derivative. The extended tanh–coth method and the Jacobi elliptic function method are utilized to attain new hyperbolic, trigonometric, elliptic, and ...
Wael W. Mohammed +2 more
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Results in Physics, 2021 The current article explores the new optical solutions of the conformable fractional perturbed Gerdjikov-Ivanov (pGI) equation. The tanh method and the tanh-coth method have been applied for obtaining new solitary wave solutions.
Aniqa Zulfiqar, Jamshad Ahmad
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Seven common errors in finding exact solutions of nonlinear differential equations [PDF]
, 2009 We analyze the common errors of the recent papers in which the solitary wave solutions of nonlinear differential equations are presented. Seven common errors are formulated and classified.
Abdou +75 more
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Abstract and Applied Analysis, 2012 By using the tanh-coth method, we obtained some travelling wave solutions of two well-known nonlinear Sobolev type partial differential equations, namely, the Benney-Luke equation and the higher-order improved Boussinesq equation.
Ömer Faruk Gözükızıl +1 more
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Frontiers in Physics, 2021 This paper considers methods to extract exact, explicit, and new single soliton solutions related to the nonlinear Klein-Gordon-Schrödinger model that is utilized in the study of neutral scalar mesons associated with conserved scalar nucleons coupled ...
Nauman Raza +5 more
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Single Inclusive Distribution and Two-Particle Correlations Inside One Jet at "Modified Leading Logarithmic Approximation" of Quantum Chromodynamics II : Steepest Descent Evaluation at Small X [PDF]
, 2006 The MLLA single inclusive distribution inside one high energy (gluon) jet at small x is estimated by the steepest descent method. Its analytical expression is obtained outside the "limiting spectrum".
R. Perez-Ramos +3 more
core +4 more sources