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Fractal and Fractional, 2023 Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen in several disciplines such as applied mathematics, engineering, physics, and a wide range of other applications.
Mohammed Bakheet Almatrafi
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Alexandria Engineering Journal, 2022 In the present paper, the improved modified extended tanh-function method is employed to get new exact traveling wave solutions for the doubly dispersive model. Several types of solutions are obtained using the proposed method.
Manar S. Ahmed +2 more
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Ain Shams Engineering Journal, 2023 In this paper, the improved modified extended Tanh function technique is used to find analytical solutions to the cubic-quartic Lakshmanan-Porsezian-Daniel model which describes the pulse propagation in optical fiber. Using the traveling wave theory, the
Hisham H. Hussein +2 more
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Results in Physics, 2022 The improved modified extended tanh-function (imETF) method is used to develop exact traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations. Bright solitons, dark solitons, bright-dark solitons, single solitons,
Abdulla – Al – Mamun +4 more
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A self-similar solution and the tanh-function method for the kinetic Carleman system
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2022 In this article, we consider the one--dimensional kinetic system of Carleman equations. The Carleman system is the kinetic Boltzmann equation. This system describes a monatomic rarefied gas consisting of two groups of particles.
S. Dukhnovsky
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Extended Tanh-Function Method and Its Applications in Nonlocal Complex mKdV Equations
Mathematics, 2022 In order to construct the multiple traveling wave solutions of the nonlocal modified Korteweg de Vires (mKdV) equation, the modified tanh-function approach for local soliton equations is extended to a nonlocal complex mKdV equation.
Xiaodong Wang +3 more
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Soliton dynamics and stability in resonant nonlinear Schrödinger systems with cubic quintic effects via enhanced modified extended tanh function method [PDF]
Scientific ReportsThis study investigates solitary wave solutions of the three-dimensional, time-dependent nonlinear Schrödinger equation with cubic–quintic effects and a generalized Kudryashov-type self-phase modulation term.
Amany Tarek +3 more
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Nonlinear Analysis, 2015 We analyze the extended tanh-function method to realize variable separation, however, we find that various "different" solutions obtained by this method are seriously equivalent to the general solution derived by the multilinear variable separation ...
Chaoqing Dai, Qin Liu
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Alexandria Engineering Journal, 2023 Cubic-quartic optical solitons and other solutions for Biswas-Milovic equation with dual-power law nonlinearity are investigated using improved modified extended tanh-function method.
Nivan M. Elsonbaty +3 more
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On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity [PDF]
Scientific ReportsThis study examines the pure-cubic nonlinear Schrödinger equation associated with Kerr-type optical responses and formulates an integrated analytical–computational strategy for exploring its nonlinear wave behavior.
Kalim U. Tariq +3 more
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