Results 91 to 100 of about 2,101 (185)
, 2016 The three dimensional conformable time fractional Kadomtsev-Petviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov's procedure. The corresponding wave transformation reduces both equations to some ODEs.
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Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.This study examines the optical soliton structure solutions, sensitivity, and modulation stability analysis of the chiral nonlinear Schrödinger equation (NLSE) with Bohm potential, a basic model in nonlinear optics and quantum mechanics. The equation represents wave group dynamics in numerous physical systems, involving quantum Hall and nonlinear ...
Ishrat Bibi +4 more
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Optical soliton solutions, stability, and modulation instability for fractional multi-components of Gross–Pitaevskii model [PDF]
AIP AdvancesThis study investigates the soliton solutions of the fractional multi-component Gross–Pitaevskii model, a pivotal framework in quantum engineering and nonlinear optics, particularly for its applications in optical fibers.
Saeed M. Alamry +3 more
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AIMS MathematicsIn this paper, the modified Kudryashov method is utilized to construct the exact traveling solutions to the Hirota-Ramani equation. The Hirota-Ramani equation holds significant importance as a fundamental model in the examination of nonlinear and integrable systems.
Aslı Alkan, Mehmet Kayalar, Hasan Bulut
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Hydrodynamic role of fish squamosal integument as an analog of the surfaces directly formed by the turbulent flow. Report 2: Hydrodynamic function of squamosal integument [PDF]
The stream flowing round the slowly swimming squama free fish can be laminized with the aid of the external slime coat alone. The slime of the fish with well developed squamae can laminize the stream together with the squamatic integument.
Barsukov, V. V., Kudryashov, A. F.
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On the relations between some well-known methods and the projective Riccati equations
Open Physics, 2020 Solving nonlinear evolution equations is an important issue in the mathematical and physical sciences. Therefore, traditional methods, such as the method of characteristics, are used to solve nonlinear partial differential equations. A general method for
Akçağıl Şamil
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, 2013 We consider space-periodic evolutionary and travelling-wave solutions to the regularised long-wave equation (RLWE) with damping and forcing. We establish existence, uniqueness and smoothness of the evolutionary solutions for smooth initial conditions ...
Chertovskih, R. +4 more
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Exact solutions of the Kudryashov-Sinelshchikov equation by modified exp-function method [PDF]
International Mathematical Forum, 2013 Yinghui He, Shaolin Li, Yao Long
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On the structure of the higher dimensional Date-Jimbo-Kashiwara-Miwa model emerging in water waves
Discover Applied SciencesIn this paper, the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equation is investigated. The unified method, the modified Kudryashov scheme and the extended modified auxiliary equation mapping technique are employed to construct a variety of some ...
Kalim U. Tariq +5 more
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Exact optical soliton solutions and interaction dynamics in fractional nonlinear systems
Frontiers in Applied Mathematics and StatisticsThis paper aims to provide a rigorous analytical investigation of multisoliton dynamics within a conformable concatenated nonlinear framework that unifies the nonlinear Schrödinger, Sasa Satsuma, and Lakshmanan Porsezian Daniel equations through the ...
Saleh M. Alzahrani +2 more
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