Results 1 to 10 of about 927 (70)
Abstract and Applied Analysis, 2014 A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras.
Fucai You, Jiao Zhang, Yan Zhao
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Journal of Ocean Engineering and Science, 2021 In this paper, the new travelling wave solutions of the (2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff (ECBS) equation are investigated. The main aim of this work is to find the new exact solutions with the aid of relatively new (G′G′+G+A ...
A. Tripathy, S. Sahoo
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Austral Ecology, Volume 48, Issue 8, Page 2053-2075, December 2023., 2023 Abstract Landscape disturbance frequently results in reduced pollination and reproduction of animal‐pollinated plants. However, few studies globally, and no studies in Australia, have focused on the impact(s) on plants with nocturnal moth pollinators.
Alex G. Blackall +2 more
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Cole-Hopf Like Transformation for Schr\"odinger Equations Containing Complex Nonlinearities [PDF]
, 2002 We consider systems, which conserve the particle number and are described by Schr\"odinger equations containing complex nonlinearities. In the case of canonical systems, we study their main symmetries and conservation laws.
A M Scarfone +22 more
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Gardner's deformation of the Krasil'shchik-Kersten system [PDF]
, 2015 The classical problem of construction of Gardner's deformations for infinite-dimensional completely integrable systems of evolutionary partial differential equations (PDE) amounts essentially to finding the recurrence relations between the integrals of ...
Kiselev, Arthemy V., Krutov, Andrey O.
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Comment on "Soliton ratchets induced by excitation of internal modes" [PDF]
, 2004 Very recently Willis et al. [Phys. Rev. E {\bf 69}, 056612 (2004)] have used a collective variable theory to explain the appearance of a nonzero energy current in an ac driven, damped sine-Gordon equation.
Bernardo Sánchez-Rey +3 more
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Duality relation among the Hamiltonian structures of a parametric coupled Korteweg-de Vries system
Open Physics, 2016 We obtain the full Hamiltonian structure for a parametric coupled KdV system. The coupled system arises from four different real basic lagrangians. The associated Hamiltonian functionals and the corresponding Poisson structures follow from the geometry ...
Restuccia Alvaro, Sotomayor Adrián
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Analysis of time-fractional hunter-saxton equation: a model of neumatic liquid crystal
Open Physics, 2016 In this work, a theoretical study of diffusion of neumatic liquid crystals was done using the concept of fractional order derivative. This version of fractional derivative is very easy to handle and obey to almost all the properties satisfied by the ...
Atangana Abdon +2 more
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Open Physics, 2017 Modelling of physical systems mathematically, produces nonlinear evolution equations. Most of the physical systems in nature are intrinsically nonlinear, therefore modelling such systems mathematically leads us to nonlinear evolution equations.
Tasbozan Orkun +3 more
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Laplace homotopy perturbation method for Burgers equation with space- and time-fractional order
Open Physics, 2016 The fractional Burgers equation describes the physical processes of unidirectional propagation of weakly nonlinear acoustic waves through a gas-filled pipe.
Johnston S. J. +4 more
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