Results 21 to 30 of about 22,025,942 (161)
Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation
Results in Physics, 2021 In this paper, we investigate a reputed nonlinear partial differential equation (NLPDE) known as geophysical Korteweg-de Vries (GPKdV) equation. We implement a renowned Unified method (UM) of nonlinear (NL) sciences for the extraction of polynomial and ...
S.T.R. Rizvi +5 more
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Retrieval of Chaotic structure along with P-test to Truncated M-fractional Paraxial wave model
Franklin OpenThe Painlevé analysis has attracted considerable attention in the age of mathematical and physical sciences as a crucial method for analyzing FNLPDEs. This methodology is an effective way to assess if a given differential equation ensures the Painlevé ...
Rashida Hussain +3 more
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Singularity Analysis and Integrability of a Burgers-Type System of Foursov
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We apply the Painlevé test for integrability of partial differential equations to a system of two coupled Burgers-type equations found by Foursov, which was recently shown by Sergyeyev to possess infinitely many commuting local generalized symmetries ...
Sergei Sakovich
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Kuwait Journal of ScienceThis article aims to derive novel varieties of exact solitonic wave solutions to the complex short pulse equation using an effective technique known as the Riccati-Bernoulli sub-ODE method (RBSODM), which does not conform to the balance rule.
Reda A. Ibrahim +3 more
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On the Connection Problem for Painlevé Differential Equation in View of Geometric Function Theory
Mathematics, 2020 Asymptotic analysis is a branch of mathematical analysis that describes the limiting behavior of the function. This behavior appears when we study the solution of differential equations analytically.
Rabha W. Ibrahim +2 more
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Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation
Advances in Mathematical Physics, 2021 The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable ...
Bo Ren
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Journal of Taibah University for Science, 2022 This study's subject is a (3 + 1) dimensional new Hirota bilinear (NHB) equation that appears in the theory of shallow water waves. We investigate how particular dispersive waves behave in an NHB equation.
Nursena Günhan Ay, Emrullah Yaşar
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Invertible point transformations, Painlevé test, and the second Painlevé transcendent
, 1991 The techniques of invertible point transformations and the Painlevé analysis can be used to construct integrable ordinary differential equations. We compare both techniques for the second Painlevé transcendent.
Duarte, L.G.S. +3 more
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A Splitting Architecture for Exact Reduced Coulomb Friction
Computer Graphics Forum, EarlyView.Abstract Existing approaches to frictional contact dynamics typically either modify the Coulomb law to improve numerical robustness or solve the exact law in a fully coupled monolithic form. However, in its reduced form, exact Coulomb friction can be written as a cone complementarity problem with an augmented velocity, which reveals a natural split ...
Hongcheng Song +3 more
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An analog of the Cauchy formula for certain Beltrami equations
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The Beltrami differential equations are intrinsic generalizations of the Cauchy–Riemann system in complex analysis. Their solutions generalize holomorphic functions. As known, solutions to many problems of the complex analysis are based on application of
D.B. Katz, B.A. Kats
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