Results 1 to 10 of about 39 (33)
A novel symmetry constraint of the super cKdV system [PDF]
Journal of Physics A: Mathematical and Theoretical, 2010 A new (1+1)-dimensional integrable system, i. e. the super coupled Korteweg-de Vries (cKdV) system, has been constructed by a super extension of the well-known (1+1)-dimensional cKdV system. For this new system, a novel symmetry constraint between the potential and eigenfunction can be obtained by means of the binary nonlinearization of its Lax pairs ...
Yu, Jing +3 more
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Alternative solitons in the Hirota–Satsuma system via the direct method
Partial Differential Equations in Applied Mathematics, 2021 Multisolitons and multi-hump solitons are constructed for the coupled Korteweg–de Vries (cKdV) system introduced by Hirota and Satsuma (1981) in the context of the propagation of two waves interacting with different dispersion relations.
Hugo Parra Prado, Luis A. Cisneros-Ake
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Applied Mathematics in Science and EngineeringIn this study, time-fractional coupled Korteweg–de Vries (cKdV) equations are solved using an efficient and reliable numerical technique. The classical cKdV system has been generalized into the time-fractional cKdV system.
Awatif Muflih Alqahtani +1 more
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Hierarchies of the Korteweg–de Vries Equation Related to Complex Expansion and Perturbation
Axioms, 2023 We consider the possibility of constructing a hierarchy of the complex extension of the Korteweg–de Vries equation (cKdV), which under the assumption that the function is real passes into the KdV hierarchy.
Tatyana V. Redkina +3 more
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Bäcklund transformation and multiple soliton solutions for a cylindrical KdV equation to model electron-acoustic waves in the Saturnian magnetosphere [PDF]
AIP AdvancesIn this work, we investigate nonlinear electron-acoustic waves (EAWs) in the Saturn’s magnetosphere, modeled as a plasma system with cold inertial electrons, inertia-less kappa-distributed hot electrons, and stationary ions.
Khizra Qaiser +4 more
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Bäcklund Transformations for Nonlinear Differential Equations and Systems
Axioms, 2019 In this work, new Bäcklund transformations (BTs) for generalized Liouville equations were obtained. Special cases of Liouville equations with exponential nonlinearity that have a multiplier that depends on the independent variables and first-order ...
Tatyana V. Redkina +4 more
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Null Curve Evolution in Four‐Dimensional Pseudo‐Euclidean Spaces
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 We define a Lie bracket on a certain set of local vector fields along a null curve in a 4‐dimensional semi‐Riemannian space form. This Lie bracket will be employed to study integrability properties of evolution equations for null curves in a pseudo‐Euclidean space.
José del Amor +3 more
wiley +1 more source
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented. By applying a theory of Frobenius decompositions and, more precisely, by using a transformation method to the coupled Burgers, combined Korteweg‐de Vries‐ (KdV‐) modified KdV and Schrödinger‐KdV ...
A. R. Seadawy, K. El-Rashidy, Yasir Khan
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Analytic Solutions of the Space‐Time Fractional Combined KdV‐mKdV Equation
Mathematical Problems in Engineering, Volume 2015, Issue 1, 2015., 2015 The fractional mapping method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, we discuss the space‐time fractional combined KdV‐mKdV equation. Many types of exact analytical solutions are obtained. The solutions include generalized trigonometric and hyperbolic functions solutions.
Emad A.-B. Abdel-Salam +2 more
wiley +1 more source
, 2022 Research and Practice in Thrombosis and Haemostasis, Volume 6, Issue S1, October 2022.
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