Results 1 to 10 of about 99 (81)
Painlevé Test and Exact Solutions for (1 + 1)-Dimensional Generalized Broer–Kaup Equations
Mathematics, 2022 In this paper, the Painlevé integrable property of the (1 + 1)-dimensional generalized Broer–Kaup (gBK) equations is first proven. Then, the Bäcklund transformations for the gBK equations are derived by using the Painlevé truncation.
Sheng Zhang, Bo Xu
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Mathematics, 2023 The Chavy–Waddy–Kolokolnikov model for the description of bacterial colonies is considered. In order to establish if the mathematical model is integrable, the Painlevé test is conducted for the nonlinear ordinary differential equation which corresponds ...
Nikolay A. Kudryashov, Sofia F. Lavrova
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Mathematics, 2022 The family of the generalized Schrödinger equations with Kerr nonlinearity of unrestricted order is considered. The solutions of equations are looked for using traveling wave reductions. The Painlevé test is applied for finding arbitrary constants in the
Nikolay A. Kudryashov
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Painlevé integrability and multisoliton solutions of a generalized KdV system [PDF]
ITM Web of Conferences, 2020 The integrability of a generalized KdV model, which has abundant physical applications in many fields, is investigated by employing Painlevé test. Eventually, we discover a new generalized P-type KdV model in sense of WTCKruskal method.
Kumari Pinki, Gupta R.K., Kumar Sachin
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ABOUT PAINLEVE PROPERTY OF A HYDRODYNAMIC SYSTEM [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 We represent conditions of hydrodynamic system when it passes the Painleve test. We use Kovaleskaya-Gambie method for fourth order ordinary differential system.
Vodinchar G. M. +2 more
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Journal of Ocean Engineering and Science, 2023 This article considers time-dependent variable coefficients (2+1) and (3+1)-dimensional extended Sakovich equation. Painlevé analysis and auto-Bäcklund transformation methods are used to examine both the considered equations.
Shailendra Singh, S. Saha Ray
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Results in Physics, 2022 The famous Hamiltonian amplitude equation (HAE) and the well known cubic nonlinear Schrödinger equation (CNLSE) with repulsive delta potential have been taken into account for integrability analysis, establishment of conservation laws (CLs) and traveling
Azhar Bashir +4 more
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Optical Dromions for Spatiotemporal Fractional Nonlinear System in Quantum Mechanics
Quantum Reports, 2023 In physics, mathematics, and other disciplines, new integrable equations have been found using the P-test. Novel insights and discoveries in several domains have resulted from this.
Ihsan A. Khoso +2 more
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Journal of High Energy Physics, 2023 We study 4d type H $$ \mathcal{H} $$ 0 Argyres-Douglas theory in Ω-background by constructing Liouville irregular state of rank 5/2. The results are compared with generalized Holomorphic anomaly approach, which provides order by order expansion in Ω ...
Hasmik Poghosyan, Rubik Poghossian
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Analysis of the multi-phenomenal nonlinear system : Testing Integrability and detecting chaos
Results in Physics, 2023 As a large extension in Hamiltonian form, the system of a PT symmetric dimer of coupled nonlinear oscillators is developed. This system provides an explanation for a number of problems with Hamiltonian dynamics. Integrability is evaluated in the Painlevé
Mohamed Benkhali +6 more
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