Novel approaches to the construction of solitons in Fokas fiber-optic models
AIP AdvancesThe Fokas system plays a pivotal role in modeling nonlinear pulse propagation through monomode optical fibers, with exact solutions offering critical insights into the physical mechanisms governing excitation instability.
Guojiang Wu, Chunyan Wang
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New conditions for obtaining the exact solutions of the general Riccati equation. [PDF]
ScientificWorldJournal, 2014 Bougoffa L.
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On the existence of a positive definite solution of the matrix equation X+AXA=I [PDF]
Matrices ...
Engwerda, J.C.
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Soliton solutions with bifurcation, sensitivity, chaotic and stability analysis of the (2+1)-dimensional Zoomeron equation using generalized Riccati equation mapping method. [PDF]
Sci RepZainab A +5 more
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Capacitary measures for completely monotone kernels via singular control [PDF]
We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel.
Alexander Schied, Aurélien Alfonsi
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Exploring novel soliton, wave solutions, and modulation instability analysis for the (3+1)-dimensional KP-SKR equation using the improved generalized Riccati equation mapping approach. [PDF]
Sci RepKamel NM, Ahmed HM, Rabie WB.
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The riccati equation and its bounds
Journal of Computer and System Sciences, 1972 openaire +2 more sources
Uniqueness Conditions for the Infinite-Planning Horizon Open-Loop Linear Quadratic Differential Game [PDF]
In this note we consider the open-loop Nash linear quadratic differential game with an infinite planning horizon.The performance function is assumed to be indefinite and the underlying system affine.We derive both necessary and sufficient conditions ...
Engwerda, J.C.
core
Journal of Mathematical Analysis and Applications, 1970 Koch, Richard M, Lowenthal, Franklin
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