Results 31 to 40 of about 8,391 (169)
Partial Differential Equations in Applied Mathematics, 2023 We investigate the tanh–coth method’s usefulness in understanding space–time fractional nonlinear evolution problems. To use this method and then examine their plots, we take into consideration three significant equations: the space–time fractional ...
Sidheswar Behera +2 more
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Hamiltonian model for coupled surface and internal waves in the presence of currents [PDF]
, 2017 We examine a two dimensional fluid system consisting of a lower medium bounded underneath by a flatbed and an upper medium with a free surface. The two media are separated by a free common interface.
Ivanov, Rossen
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The Improved Generalized tanh-coth Method Applied to Sixth-Order Solitary Wave Equation
Journal of Mathematics, 2017 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 ...
M. Torvattanabun +3 more
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Results in PhysicsThis study addresses the solution of differential equations converted into stochastic differential equations with the introduction of a noise term. To simplify the stochastic complexity, we employ a transformation, converting the equations into ordinary ...
Jamil Abbas Haider +2 more
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Two-mode coupled Burgers equation: Multiple-kink solutions and other exact solutions
Alexandria Engineering Journal, 2018 In this paper, we establish a new two-mode coupled Burgers equation (TMCBE). The necessary conditions that make the multiple kink solutions and the multiple singular kink solutions to TMCBE exist are founded using the simplified bilinear method. Moreover,
H.M. Jaradat
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Nonlinear Engineering, 2023 In this work, the generalized scale-invariant analog of the Korteweg–de Vries equation is studied. For the first time, the tanh–coth methodology is used to find traveling wave solutions for this nonlinear equation.
González-Gaxiola Oswaldo +1 more
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On the quantum reflection factor for the sinh-Gordon model with general boundary conditions [PDF]
, 2000 The one loop quantum corrections to the classical reflection factor of the sinh-Gordon model are calculated partially for general boundary conditions.
Chenaghlou A., Corrigan E.
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On exploring optical solutions to the Hirota equation through an efficient analytical method
Results in Physics, 2021 In this paper, a direct approach, namely the generalized exponential rational function method is utilized to extract diverse collection of exact solutions to the (2+1)-dimensional Hirota equation.
B. Günay
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Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
, 2003 A new algorithm is presented to find exact traveling wave solutions of differential-difference equations in terms of tanh functions. For systems with parameters, the algorithm determines the conditions on the parameters so that the equations might admit ...
Ablowitz +52 more
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A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation [PDF]
, 2010 Two recent papers are considered in which solitary travelling-wave solutions to the transformed reduced Ostrovsky equation are presented.
E.J. Parkes +11 more
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