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The shallow water equations: conservation laws and symplectic geometry
Published 1987-01-01Subjects: Get full text
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Algebro-Geometric Solutions for a Discrete Integrable Equation
Published 2017-01-01“…According to decomposition of the discrete systems, the new differential-difference integrable systems with two-potential functions are derived. …”
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On the Deformation Theory of Structure Constants for Associative Algebras
Published 2010-01-01“…Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.…”
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Geometric Representations of Interacting Maps
Published 2010-01-01“…On the other hand, automata appear in various contexts in topology, combinatorics, and integrable systems. In this paper we study the analysis of these materials passing through tropical geometry. …”
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Lax Representation and Darboux Solutions of the Classical Painlevé Second Equation
Published 2021-01-01“…The new linear system of that equation carries similar structure as other integrable systems possess in the AKNS scheme. Finally, we generalize the Darboux transformation of the classical Painlevé second equation to the N-th form in terms of Wranskian.…”
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New Applications of a Kind of Infinitesimal-Operator Lie Algebra
Published 2016-01-01“…Finally, we make use of the Lie algebras to generate some new integrable systems including (1+1) and (2+1) dimensions.…”
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Novel Particular Solutions, Breathers, and Rogue Waves for an Integrable Nonlocal Derivative Nonlinear Schrödinger Equation
Published 2022-01-01“…Using the proposed Darboux transformation, we construct some particular solutions from zero seed, which have not been reported so far for locally integrable systems. We also obtain explicit breathers from a nonzero seed with constant amplitude, deduce the corresponding extended Taylor expansion, and obtain several first-order rogue wave solutions. …”
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Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System
Published 2017-01-01“…Searching for integrable systems and constructing their exact solutions are of both theoretical and practical value. …”
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Fractional Soliton and Semirational Solutions of a Fractional Two-Component Generalized Hirota Equation
Published 2023-01-01“…The Darboux transformation (DT) and generalized DT (GDT) have played important roles in constructing multisoliton solutions, rogue wave solutions, and semirational solutions of integrable systems. The main purpose of this article is to extend the DT and GDT to a conformable fractional two-component generalized Hirota (TCGH) equation for revealing novel dynamic characteristics of fractional soliton and semirational solutions. …”
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Computer two dimensional maps of loop soliton lattice systems using the new approach to the no integrability Aesthetic field equations
Published 1992-01-01“…We have previously studied several such systems using the new approach to non-integrable systems developed in previous papers. [1-3]. …”
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Genus 2 Seiberg-Witten curves for rank 2 N $$ \mathcal{N} $$ =4 superYang-Mills theories
Published 2024-12-01“…We show how to determine the correct sublattice projection, and find that the integrable system curves do not apply to our theories.…”
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Explicit solutions of nonlocal reverse-time Hirota-Maxwell-Bloch system
Published 2024-12-01“…These results provide a deeper understanding of soliton dynamics in nonlocal integrable systems and lay the groundwork for future studies on the influence of nonlocality in integrable models.…”
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Exploring conversation laws and nonlinear dynamics of the unstable nonlinear Schrödinger equation: Stability and applications
Published 2025-01-01“…The unstable NLSE, a universal equation in nonlinear integrable systems, governs instabilities in modulated wave trains and characterizes the temporal progression of disturbances in near-stable or unstable media. …”
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Abundant novel stochastic fractional solitary wave solutions of a new extended (3+1)-dimensional Kadomtsev–Petviashvili equation
Published 2025-04-01“…The conformable derivative generalizes the classical differential operator and is useful in analyzing the wave dynamics of integrable systems. In this article, the modified extended tanh technique is implemented to uncover new solitary wave solutions of the KP equation. …”
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Model-Based Control Design and Integration of Cyberphysical Systems: An Adaptive Cruise Control Case Study
Published 2013-01-01Get full text
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Applied Analysis on Electromagnetic Braking in the Vehicle Braking Energy Recovery
Published 2016-01-01“…The key research direction of integrated system are the optimization design of integrated system,braking mode switch control research and the expansion of the integrated system function.…”
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System Design and Optimisation Study on a Novel CCHP System Integrated with a Hybrid Energy Storage System and an ORC
Published 2020-01-01“…The design of the integrated system and the control strategy are displayed in detail. …”
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Optimizing the role of pharmacists at the primary healthcare centres in Indonesia through an integrated information system
Published 2025-01-01“…Common expectations include an integrated system for monitoring drug usage and orders. …”
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