Results 41 to 50 of about 6,339 (163)

The Complex Toda Chains and the Simple Lie Algebras - Solutions and Large Time Asymptotics

, 1998
The asymptotic regimes of the N-site complex Toda chain (CTC) with fixed ends related to the classical series of simple Lie algebras are classified. It is shown that the CTC models have much richer variety of asymptotic regimes than the real Toda chain ...
Adler M, Arnold J M, Arnold J M, Bogoyavlenskii O I, Bourbaki N, Deift P, Deift P, E G Evstatiev, Farwell R, Farwell R, Flaschka H, Flaschka H, Flaschka H, Flaschka H, Gerdjikov V S, Goodman R, Goto M, Khastgir S P, Kodama Y, Kodama Y, Kodama Y, Leznov A N, Leznov A N, Leznov A N, Manakov S V, Mikhailov A V, Mikhailov A V, Moser J, Moser J, Olshanetsky M A, Olshanetsky M A, R I Ivanov, Toda M, Toda M, V S Gerdjikov   +34 more
core   +3 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone, Louise Gassot, Patrick Gérard, Peter D. Miller   +3 more
wiley   +1 more source

Invariance analysis for determining the closed-form solutions, optimal system, and various wave profiles for a (2+1)-dimensional weakly coupled B-Type Kadomtsev-Petviashvili equations

Journal of Ocean Engineering and Science, 2023
In the case of negligible viscosity and surface tension, the B-KP equation shows the evolution of quasi-one-dimensional shallow-water waves, and it is growingly used in ocean physics, marine engineering, plasma physics, optical fibers, surface and ...
Setu Rani, Sachin Kumar, Raj Kumar
doaj   +1 more source

Dissipative perturbations for the K(n,n) Rosenau-Hyman equation

, 2012
Compactons are compactly supported solitary waves for nondissipative evolution equations with nonlinear dispersion. In applications, these model equations are accompanied by dissipative terms which can be treated as small perturbations.
Abassy, Antonova, Bertozzi, Bin, Biswas, Biswas, Biswas, Cardenas, Cooper, Cooper, Cooper, de Frutos, Dey, Drazin, Ebadi, Fernandez, Francisco R. Villatoro, Johnson, Julio Garralón, Kardashov, Kevorkian, Khare, Kivshar, Kivshar, Kovalev, Laila, Lamb, Ludu, McLaughlin, Mihaila, Olver, Pikovsky, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rosenau, Rus, Rus, Rus, Rus, Triki, Zhang   +43 more
core   +1 more source

From Evidence to Practice: Implementation and Evaluation of the Discontinuation of Patient Contact Shielding in Paediatric Radiography

Journal of Medical Radiation Sciences, EarlyView.
This implementation science study evaluated the removal of patient contact shielding in paediatric radiography at a quaternary Australian hospital. Guided by the COM‐B model and Theoretical Domains Framework, the policy change was implemented with minimal disruption. Fewer than 0.5% of families raised any concerns, demonstrating that even long‐standing
Elaine Ryan, Kerrie Norynberg, Patricia Connor, Deborah Sinclair, Tristan Reddan   +4 more
wiley   +1 more source

Extracting the Ultimate New Soliton Solutions of Some Nonlinear Time Fractional PDEs via the Conformable Fractional Derivative

Fractal and Fractional
Nonlinear fractional-order differential equations have an important role in various branches of applied science and fractional engineering. This research paper shows the practical application of three such fractional mathematical models, which are the ...
Md Ashik Iqbal, Abdul Hamid Ganie, Md Mamun Miah, Mohamed S. Osman   +3 more
doaj   +1 more source

Observation of Linear and Nonlinear Light Trapping on Topological Dislocations

Laser &Photonics Reviews, EarlyView.
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov, A. V. Kireev, K. Sabour, N. S. Kostyuchenko, S. A. Zhuravitskii, N. N. Skryabin, I. V. Dyakonov, A. A. Kalinkin, V. O. Kompanets, S. P. Kulik, S. V. Chekalin, A. Ferrando, V. N. Zadkov, Y. V. Kartashov   +13 more
wiley   +1 more source

Complete Ricci solitons via estimates on the soliton potential

, 2019
In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of L\"u-Page-Pope and Dancer ...
Wink, Matthias
core   +1 more source

Non-singular complexiton, singular complexiton and the breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation

Results in Physics
This work aims to construct some novel exact solutions of the (2 + 1)-dimensional Sawada-Kotera equation (SKE). First, the resonant multiple soliton solutions (RMSSs) are discussed by employing the weight algorithm (WA) and linear superposition principle
Chunlin Chai, Kang-Jia Wang
doaj   +1 more source

Physical approach to quantum networks with massive particles

, 2017
This paper treats a quantum network from a physical approach, explicitly finds the physical eigenstates and compares them to the quantum-graph description.
Andersen, Molte Emil Strange, Zinner, Nikolaj Thomas   +1 more
core   +1 more source