Results 11 to 20 of about 863 (58)
Integrability of Discrete Equations Modulo a Prime [PDF]
, 2013 We apply the 'almost good reduction' (AGR) criterion, which has been introduced in our previous (arXiv:1206.4456 and arXiv:1209.0223), to several classes of discrete integrable equations.
Kanki, Masataka
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Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 58, Page 3117-3128, 2004., 2004 We present a method to construct inverse scattering problems for integrable nonlinear evolution equations in the two‐spatial dimension. The temporal component is the adjoint of the linearized equation and the spatial component is a partial differential equation with respect to the spatial variables. Although this idea has been known for the one‐spatial
H. H. Chen, J. E. Lin
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Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)
Open Mathematics, 2017 In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
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Generalized fermionic discrete Toda hierarchy
Discrete Dynamics in Nature and Society, Volume 2004, Issue 1, Page 113-153, 2004., 2004 We describe bi‐Hamiltonian structure and Lax‐pair formulation with the spectral parameter of the generalized fermionic Toda lattice hierarchy as well as its bosonic and fermionic symmetries for different (including periodic) boundary conditions. Its two reductions N = 4 and N = 2 supersymmetric Toda lattice hierarchies in different (including canonical)
V. V. Gribanov +2 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
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Non-commutative q-Painleve VI equation [PDF]
, 2013 By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI equation with full range
Doliwa, Adam
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Exact solutions of the semi‐infinite Toda lattice with applications to the inverse spectral problem
Abstract and Applied Analysis, Volume 2004, Issue 5, Page 435-451, 2004., 2004 Several inverse spectral problems are solved by a method which is based on exact solutions of the semi‐infinite Toda lattice. In fact, starting with a well‐known and appropriate probability measure μ, the solution αn(t), bn(t) of the Toda lattice is exactly determined and by taking t = 0, the solution αn(0), bn(0) of the inverse spectral problem is ...
E. K. Ifantis, K. N. Vlachou
wiley +1 more source
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 a negative flow of the AKNS hierarchy and its relation to a two-component Camassa-Holm equation [PDF]
, 2006 Different gauge copies of the Ablowitz-Kaup-Newell-Segur (AKNS) model labeled by an angle $\theta$ are constructed and then reduced to the two-component Camassa--Holm model.
Aratyn, H. +2 more
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