Results 51 to 60 of about 8,502 (211)
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
doaj +1 more source
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
core +3 more sources
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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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
doaj +1 more source
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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Strong Coupling Limit of Bethe Ansatz Solutions in Massive Thirring Model [PDF]
, 1999 We study the strong coupling limit of the Bethe ansatz solutions in the massive Thirring model. We find analytical expressions for the energy eigenvalues for the vacuum state as well as n-particle n- hole states.
Bergknoff +16 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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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model
Demonstratio MathematicaThe Peyrard-Bishop DNA model is investigated in this study. Two most reliable and efficient analytical techniques, the Jacobi elliptic function method, and the tanh\tanh -coth\coth method, are being employed for finding new and novel soliton solutions ...
Akram Ghazala +5 more
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