Results 11 to 20 of about 17,079 (203)
Advances in Mathematical Physics, 2020 The multiple Exp-function method is employed for searching the multiple soliton solutions for the new extended (3+1)-dimensional Jimbo-Miwa-like (JM) equation, the extended (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (eCBS) equation, the ...
Pengbo Wan +3 more
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Journal of Advanced Research, 2022 Introduction: The multiple Exp-function scheme is employed for searching the multiple soliton solutions for the fractional generalized Calogero-Bogoyavlenskii-Schiff-Bogoyavlensky- Konopelchenko equation.
Mingchen Zhang +4 more
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Application of the unified method to solve the ion sound and Langmuir waves model
Heliyon, 2022 We present the unified method and use it to integrate the ion sound and Langmuir waves (ISLW) model to retrieve optical soliton solutions. Some new dynamical optical solitons involving the combo of rational, trigonometric, and hyperbolic function ...
Dulal Chandra Nandi +3 more
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Fractional generalized perturbed KdV equation with a power Law kernel: A computational study
Results in Control and Optimization, 2023 In this study, we analyze the nonlinear generalized perturbed KdV equation using the Shehu transform and decomposition approach to obtain solutions. Multiple cases with appropriate initial conditions demonstrate the procedure’s effectiveness and validity,
Khan Shehzada +3 more
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Numerical evidence for `multi-scalar stars' [PDF]
, 2002 We present a class of general relativistic soliton-like solutions composed of multiple minimally coupled, massive, real scalar fields which interact only through the gravitational field.
D. Kaup +23 more
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The simplified Hirota’s method for studying three extended higher-order KdV-type equations
Journal of Ocean Engineering and Science, 2016 In this work we study three extended higher-order KdV-type equations. The Lax-type equation, the Sawada–Kotera-type equation and the CDG-type equation are derived from the extended KdV equation.
Abdul-Majid Wazwaz
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Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics, 2021 By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space.
Na Xiong, Ya-Xuan Yu, Biao Li
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Dark solitons in cigar-shaped Bose-Einstein condensates in double-well potentials [PDF]
, 2010 We study the statics and dynamics of dark solitons in a cigar-shaped Bose-Einstein condensate confined in a double-well potential. Using a mean-field model with a non-cubic nonlinearity, appropriate to describe the dimensionality crossover regime from ...
C. J. Pethick +10 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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Heliyon, 2022 This study presents a modification form of modified simple equation method, namely new modified simple equation method. Multiple waves and interaction of soliton solutions of the Phi-4 and Klein-Gordon models are investigated via the scheme. Consequently,
Md. Mamunur Roshid +5 more
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