Nematicons in liquid crystals with Kerr Law by sub-equation method
Serbay Duran,Bayhan Karabulut +1 more
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In this article, a trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals.Abstract:
In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals. The resulting traveling wave solutions of the equation play an important role in the energy transport in soliton molecules in liquid crystals. In addition, the solitary wave behaviors obtained for different values of the constants in the produced traveling wave solutions are discussed. The hyperbolic type traveling wave solutions of the equation defining the nematic liquid crystals incorporating Kerr Law property is represented as dark and singular solitons. Ready-made package programs are used for algebraic operations and graphic drawings. It is emphasized that the analytical method is effective, useful and valid.read more
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Discussion on rational solutions for Nematicons in liquid crystals with Kerr Law
TL;DR: In this paper , lump, lump onestrip, lump two-strip, rogue wave, manifold periodic type exact solutions are produced via appropriate transformation scheme by taking into account the Kerr Law properties of the model defining nematic liquid crystals.
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Stability analysis and solutions of (2 + 1)-Kadomtsev–Petviashvili equation by homoclinic technique based on Hirota bilinear form
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Breaking analysis of solitary waves for the shallow water wave system in fluid dynamics
Serbay Duran,Doğan Kaya +1 more
TL;DR: In this article, the authors presented the solutions of the shallow water wave system, which models the formation, interaction and breaking of shallow water waves on the ocean surface as a result of external effects (e.g., wind), are examined using the modified expansion method.
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DarkSide-20k: A 20 tonne two-phase LAr TPC for direct dark matter detection at LNGS
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TL;DR: The DarkSide-20k detector as discussed by the authors is a direct WIMP search detector using a two-phase Liquid Argon Time Projection Chamber (LAr TPC) with an active mass of 23 t (20 t).
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Introduction to non-Kerr Law Optical Solitons
Anjan Biswas,Swapan Konar +1 more
TL;DR: In this paper, the NLSE Bistable Solitons Arbitrary Pulse Propagation SOLITON-SOLITON INTERACTION Introduction Mathematical Formulation Quasi-Particle Theory STOCHASTIC PERTURBATION Introduction Kerr Law Power Law Parabolic Law Dual-Power Law OPTICAL COUPLERS Introduction Twin-Core Couplers Multiple-Couplers Magneto-Optic Waveguides OPTICAL BULLETS Introduction 1 + 3 Dimensions EPILOGUE HINTS and SOLUTIONS BIBLIOGRAPH
Waves In Fluids
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