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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Multiple-soliton Solutions for Nonlinear Partial Differential Equations
Journal of Mathematics Research, 2015 Based on the scale transformation and the multiple exp-function method, the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation and a generalized Shallow Water Equation have been solved. The exponential wave solutions which include one-wave, two-wave and three-wave solutions have been obtained. In addition, by comparing the solutions obtained
Yaning Tang, Weijian Zai
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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
doaj +1 more source
Solitons in Triangular and Honeycomb Dynamical Lattices with the Cubic Nonlinearity [PDF]
, 2002 We study the existence and stability of localized states in the discrete nonlinear Schr{\"o}dinger equation (DNLS) on two-dimensional non-square lattices. The model includes both the nearest-neighbor and long-range interactions.
A. Aceves +55 more
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Exact soliton solutions of coupled nonlinear Schr\"odinger equations: Shape changing collisions, logic gates and partially coherent solitons [PDF]
, 2003 The novel dynamical features underlying soliton interactions in coupled nonlinear Schr{\"o}dinger equations, which model multimode wave propagation under varied physical situations in nonlinear optics, are studied.
A. Ankiewicz +23 more
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Multiple soliton solutions for a quasilinear Schrödinger equation
Indian Journal of Pure and Applied Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Jiayin, Liu, Duchao
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Peregrine comb: multiple compression points for Peregrine rogue waves in periodically modulated nonlinear Schr{\"o}dinger equations [PDF]
, 2015 It is shown that sufficiently large periodic modulations in the coefficients of a nonlinear Schr{\"o}dinger equation can drastically impact the spatial shape of the Peregrine soliton solutions: they can develop multiple compression points of the same ...
Coulibaly, Saliya +4 more
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Coupled KdV equations derived from atmospherical dynamics
, 2005 Some types of coupled Korteweg de-Vries (KdV) equations are derived from an atmospheric dynamical system. In the derivation procedure, an unreasonable $y$-average trick (which is usually adopted in literature) is removed.
Ablowitz M J +19 more
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A multiple exp-function method for nonlinear differential equations and its application
, 2010 A multiple exp-function method to exact multiple wave solutions of nonlinear partial differential equations is proposed. The method is oriented towards ease of use and capability of computer algebra systems, and provides a direct and systematical ...
Han T W +12 more
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