Results 21 to 30 of about 86,558 (263)
The solitary wave solutions to the Klein–Gordon–Zakharov equations by extended rational methods
AIP Advances, 2021 In this paper, using the extended rational sine–cosine and rational sinh–cosh methods, we find new soliton solutions for the Klein–Gordon–Zakharov equations.
Shao-Wen Yao +5 more
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Exact Solutions of the Stochastic Conformable Broer–Kaup Equations
Axioms, 2023 In this article, the exact solutions of the stochastic conformable Broer–Kaup equations with conformable derivatives which describe the bidirectional propagation of long waves in shallow water are obtained using the modified exponential function method ...
Humaira Yasmin +3 more
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Rational solutions of Abel differential equations
Journal of Mathematical Analysis and Applications, 2022 19 ...
J.L. Bravo +3 more
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Mathematics, 2023 We explore stochastic–fractional Drinfel’d–Sokolov–Wilson (SFDSW) equations for some wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave solution and homoclinic breather wave solution.
Shami A. M. Alsallami +2 more
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On a Class of Rational and Mixed Soliton-Rational Solutions of the Toda Lattice [PDF]
Progress of Theoretical Physics, 1996 A class of rational solutions of Toda lattice satisfying certain Backlund transformations and a class of mixed rational-soliton solutions (quasisolitons) in wronskian formare obtained using the method of Ablowitz and Satsuma. Also an extended class of rational solutions are found using an appropriate recursion relation.
Cârstea, A. S., Grecu, D.
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Mathematics, 2022 This manuscript consist of diverse forms of lump: lump one stripe, lump two stripe, generalized breathers, Akhmediev breather, multiwave, M-shaped rational and rogue wave solutions for the complex cubic quintic Ginzburg Landau (CQGL) equation with ...
Aly R. Seadawy +2 more
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Rational Solutions of the Painlevé‐III Equation
Studies in Applied Mathematics, 2018 AbstractAll of the six Painlevé equations except the first have families of rational solutions, which are frequently important in applications. The third Painlevé equation in generic form depends on two parameters m and n, and it has rational solutions if and only if at least one of the parameters is an integer.
Thomas Bothner +2 more
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Rational Solutions of the H3 and Q1 Models in the ABS Lattice List
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vector.
Ying Shi, Da-jun Zhang
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RATIONAL SOLUTIONS OF POLYNOMIAL-EXPONENTIAL EQUATIONS [PDF]
International Journal of Number Theory, 2012 We give a description of solutions of polynomial-exponential equations where the variables vary over rational numbers. Using this, we also prove a finiteness result.
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Rational Solutions of the Sasano System of Type A_5^{(2)}
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In this paper, we completely classify the rational solutions of the Sasano system of type A_5^{(2)}, which is given by the coupled Painlevé III system. This system of differential equations has the affine Weyl group symmetry of type A_5^{(2)}.
Kazuhide Matsuda
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