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
core +3 more sources
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
core +2 more sources
Multiple soliton solutions for the variant Boussinesq equations [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Peng, Wu, Xiang, Wang, Liang-bi
openaire +2 more sources
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
core +7 more sources
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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Multiple-Pole Solutions to a Semidiscrete Modified Korteweg-de Vries Equation
Advances in Mathematical Physics, 2019 Multiple-pole soliton solutions to a semidiscrete modified Korteweg-de Vries equation are derived by virtue of the Riemann-Hilbert problem with higher-order zeros.
Zhixing Xiao, Kang Li, Junyi Zhu
doaj +1 more source
Solitons in supersymmetric sigma-models with torsion
, 1995 We derive a bound on the energy of the general (p,q)-supersymmetric two-dimensional massive sigma model with torsion, in terms of the topological and Noether charges that appear as central charges in its supersymmetry algebra.The bound is saturated by ...
Abraham +17 more
core +1 more source
Two-photon paired solitons supported by medium polarization
, 2014 We derive for the first time fundamental equations that describe soliton spatial profiles consisting of two-photon mode fields and macroscopic polarization of medium.
Sasao, N., Yoshimura, M.
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Arab Journal of Basic and Applied Sciences, 2018 The nonlocal symmetries for the coupled (2 + 1)-dimensional Burgers system are obtained with the truncated Painlevé expansion method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables.
Hengchun Hu, Yueyue Li
doaj +1 more source