Results 1 to 10 of about 86,558 (263)
Rational and semi-rational solutions to the Mel’nikov equation
Partial Differential Equations in Applied Mathematics, 2022 We investigate rational and semi-rational solutions to the (2+1)-dimension Mel’nikov equation based on the Hirota bilinear method and the long wave limit approach.
Sheng-Nan Wang +2 more
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Mathematics, 2023 We explore various analytical rational solutions with symbolic computation using the ansatz transformation functions. We gain a variety of rational solutions such as M-shaped rational solutions (MSRs), periodic cross-rationals (PCRs), multi-wave ...
Aly R. Seadawy +2 more
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The combined KdV-mKdV equation: Bilinear approach and rational solutions with free multi-parameters
Results in Physics, 2023 In this paper, we investigate the combined KdV-mKdV equation which serves as a valuable tool in the study of water waves, enabling researchers to understand and predict the behaviour of various wave phenomena, including solitary waves, wave breaking ...
Rui-rui Yuan +3 more
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Rational general solutions of planar rational systems of autonomous ODEs
Journal of Symbolic Computation, 2011 In this paper, we provide an algorithm to compute explicit rational solutions of a rational system of autonomous ordinary differential equations (ODEs) from its rational invariant algebraic curves. The method is based on the proper rational parametrization of these curves and the fact that by linear reparametrizations, we can find the rational ...
Franz Winkler
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Efficient solution of rational conics [PDF]
Mathematics of Computation, 2002 We present efficient algorithms for solving Legendre equations over Q \mathbb Q
J. E. Cremona, D. Rusin
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Rational and Semi-Rational Solutions to the (2 + 1)-Dimensional Maccari System
Axioms, 2022 The KP hierarchy reduction method is one of the most reliable and efficient techniques for determining exact solitary wave solutions to nonlinear partial differential equations.
Yong Zhang, Huan-He Dong, Yong Fang
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Generalized Rationing Problems and Solutions [PDF]
SSRN Electronic Journal, 2015 An extension of the standard rationing model is introduced. Agents are not only identified by their respective claims on some amount of a scarce resource, but also by some exogenous ex-ante conditions (initial stock of resource or net worth of agents, for instance), different from claims.
Timoner Lledó, Pere +1 more
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Multi-Parametric Families of Real and Non Singular Solutions of the Kadomtsev-Petviasvili I Equation
Universal Journal of Mathematics and Applications, 2021 Multi-parametric solutions to the Kadomtsev-Petviashvili equation (KPI) in terms of Fredholm determinants are constructed in function of exponentials. A representation of these solutions as a quotient of wronskians of order $2N$ in terms of trigonometric
Pierre Gaillard
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Quasi-Rational and Rational Solutions to the Defocusing Nonlinear Schrödinger Equation
Journal of Mathematical Sciences and Modelling, 2022 Quasi-rational solutions to the defocusing nonlinear Schrödinger equation (dNLS) in terms of wronskians and Fredholm determinants of order $2N$ depending on $2N-2$ real parameters are given.
Pierre Gaillard
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Rational structural solutions for triangular trusses
Structural Mechanics of Engineering Constructions and Buildings, 2023 Wooden rafter structures have undoubted advantages, which determine their wide application. The object of the study is triangular rafter structures. The purpose of the research is to find the dependence of force values in the elements of the studied ...
Vladimir A. Repin +2 more
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