Results 51 to 60 of about 929 (72)
Canonically conjugate variables for the periodic Camassa-Holm equation
, 2004 The Camassa-Holm shallow water equation is known to be Hamiltonian with respect to two compatible Poisson brackets. A set of conjugate variables is constructed for both brackets using spectral theory.Comment: 10 pages, no figures, LaTeX; v.
Alber M S +8 more
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Results in Physics, 2017 The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized ...
Aly R. Seadawy, Dianchen Lu
doaj
Canonically Conjugate Variables for the μCH Equation [PDF]
, 2012 2010 Mathematics Subject Classification: 35Q35, 37K10.We consider the μCH equation which arises as an asymptotic rotator equation in a liquid crystal with a preferred direction if one takes into account the reciprocal action of dipoles on themselves ...
Christov, Ognyan
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Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
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On the bi-Hamiltonian structure of Bogoyavlensky system on $so(4)$
, 2010 We discuss bi-Hamiltonian structure for the Bogoyavlensky system on $so(4)$ with an additional integral of fourth order in momenta. An explicit procedure to find the variables of separation and the separation relations is considered in ...
Vershilov, A. V.
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On a unified formulation of completely integrable systems
, 2011 The purpose of this article is to show that a $\mathcal{C}^1$ differential system on $\R^n$ which admits a set of $n-1$ independent $\mathcal{C}^2$ conservation laws defined on an open subset $\Omega\subseteq \R^n$, is essentially $\mathcal{C}^1 ...
Abraham +14 more
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Spread mechanism and control strategy of social network rumors under the influence of COVID-19. [PDF]
Nonlinear Dyn, 2020 Hui H, Zhou C, Lü X, Li J.
europepmc +1 more source
Recursion operator for the IGSG equation
, 2006 In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n > 2$ of independent variables.
Marvan, M., Pobořil, M.
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Generalizations of the short pulse equation. [PDF]
Lett Math Phys, 2018 Hone ANW, Novikov V, Wang JP.
europepmc +1 more source
A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence
Open Mathematics, 2014 Morozov Oleg
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