Results 11 to 20 of about 6,339 (163)
Zeitschrift für Naturforschung A, 2010 In this work, the generalized (2+1) and (3+1)-dimensional Calogero-Bogoyavlenskii-Schiff equations are studied. We employ the Cole-Hopf transformation and the Hirota bilinear method to derive multiple-soliton solutions and multiple singular soliton solutions for these equations.
Abdul Majid Wazwaz
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New wave behaviors of the Fokas-Lenells model using three integration techniques.
PLoS ONE, 2023 In this investigation, we apply the improved Kudryashov, the novel Kudryashov, and the unified methods to demonstrate new wave behaviors of the Fokas-Lenells nonlinear waveform arising in birefringent fibers.
Mohammad Safi Ullah +2 more
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Bright-dark mixed $N$-soliton solutions of the multi-component Mel'nikov system [PDF]
, 1920 By virtue of the KP hierarchy reduction technique, we construct the general bright-dark mixed $N$-soliton solution to the multi-component Mel'nikov system comprised of multiple (say $M$) short-wave components and one long-wave component with all possible
Han, Zhong, Chen, Yong
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Results in Physics, 2021 This paper investigates the evolution dynamics of closed-form solutions for a new integrable nonlinear fifth-order equation with spatial and temporal dispersion which describes shallow water waves moving in two directions.
Sachin Kumar +3 more
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Ain Shams Engineering Journal, 2018 In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat +4 more
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A soliton menagerie in AdS [PDF]
, 2012 We explore the behaviour of charged scalar solitons in asymptotically global AdS4 spacetimes. This is motivated in part by attempting to identify under what circumstances such objects can become large relative to the AdS length scale. We demonstrate that
A Donos +38 more
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Advances in Mathematical Physics, 2022 This study retrieves some new exact solutions to the 2+1-dimensional Calogero-Bogoyavlenskii-Schilf (CSB) equation and regularized long wave (RLW) equation in the context of nonlinear traveling wave phenomena.
Nur Hasan Mahmud Shahen +4 more
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Construction of optical solitons of Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers
Nonlinear Engineering, 2022 In this article, we are attracted to discover the multiple-optical soiltons in birefringent fibers for Radhakrishnan–Kundu–Lakshmanan equation (RKLE) by applying the Sardar-subequation method (SSM) and the new extended hyperbolic function method (EHFM ...
Ullah Naeem +3 more
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The fractional comparative study of the non-linear directional couplers in non-linear optics
Results in Physics, 2021 A new extended direct algebraic method is applied to extract new traveling wave solutions for non-linear directional couplers with the optical meta-materials.
Muhammad Imran Asjad +5 more
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Results in Physics, 2018 In this paper, we investigate the multiple soliton solutions and multiple singular soliton solutions of a class of the fifth order nonlinear evolution equation with variable coefficients of t using the simplified bilinear method based on a transformation
H.M. Jaradat +4 more
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