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Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions
AS Fokas, Y Cao, J He
Aug 02, 2022
The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial dimensions, respectively. The question of constructing...
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A Comparative Analysis of Deep Learning Approaches for Network Intrusion Detection Systems (N-IDSs)
Recently, due to the advance and impressive results of deep learning techniques in the fields of image recognition, natural language processing and speech recognition for various long-standing artificial intelligence (AI) tasks...
Integrable nonlinear evolution equations in three spatial dimensions.
AS Fokas
Jul 27, 2022
There are integrable nonlinear evolution equations in two spatial variables. The solution of the initial value problem of these equations necessitated the introduction of novel mathematical formalisms. Indeed, the classical...
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Possible Consequences of Climate Change on Survival, Productivity and Reproductive Performance, and Welfare of Himalayan Yak (Bos grunniens).
Yak are adapted to the extreme cold, low oxygen, and high solar radiation of the Himalaya. Traditionally, they are kept at high altitude pastures during summer, moving lower in the winter. This system is highly susceptible to...
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An Ising machine based on networks of subharmonic electrical resonators
AbstractCombinatorial optimization problems are difficult to solve with conventional algorithms. Here we explore networks of nonlinear electronic oscillators evolving dynamically towards the...
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Clifford lattices and a conformal generalization of Desargues' theorem
Lattices composed of Clifford point–circle configurations provide a geometric representation of the discrete Schwarzian KP (dSKP) equation. Based on an An perspective on such lattices, it is shown that their integrability, and...
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Integrable nonlinear evolution equations in three spatial dimensions.
AS Fokas
Sep 02, 2022
There are integrable nonlinear evolution equations in two spatial variables. The solution of the initial value problem of these equations necessitated the introduction of novel mathematical formalisms. Indeed, the classical...
Published by:
Possible Consequences of Climate Change on Survival, Productivity and Reproductive Performance, and Welfare of Himalayan Yak (Bos grunniens).
Yak are adapted to the extreme cold, low oxygen, and high solar radiation of the Himalaya. Traditionally, they are kept at high altitude pastures during summer, moving lower in the winter. This system is highly susceptible to...
Published by:
SIRS Triggered by Acute Right Ventricular Function, Mimicked Septic Shock.
BACKGROUND: The systemic inflammatory response syndrome (SIRS) is a complex immune response which can be precipitated by non-infectious aetiologies such as trauma, burns or pancreatitis. Addressing the underlying cause is...
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Amyloid-Like Aggregation in Native Protein and its Suppression in the Bio-Conjugated Counterpart
Prevention of protein aggregation and thus stabilization of proteins has large biological and biotechnological implications. Here we introduce Dynamic Light Scattering (DLS) and DLS-based microrheology to show how native...
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Clifford lattices and a conformal generalization of Desargues' theorem
Lattices composed of Clifford point–circle configurations provide a geometric representation of the discrete Schwarzian KP (dSKP) equation. Based on an An perspective on such lattices, it is shown that their integrability, and...
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