Exploring fractional-order new coupled Korteweg-de Vries system via improved Adomian decomposition method. [PDF]
PLoS OneThis paper aims to extend the applications of the projected fractional improved Adomian Decomposition method (fIADM) to the fractional order new coupled Korteweg-de Vries (cKdV) system.
Arshad M +4 more
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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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Homotopic approximate solutions for the perturbed CKdV equation with variable coefficients. [PDF]
ScientificWorldJournal, 2014 This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. The obtained solutions may degenerate into the approximate solutions of hyperbolic function form and the approximate solutions of trigonometric function form in ...
Lu D, Chen T, Hong B.
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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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Whitham modulation theory for the Kadomtsev- Petviashvili equation. [PDF]
Proc Math Phys Eng Sci, 2017 Ablowitz MJ, Biondini G, Wang Q.
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Candida auris: A systematic review and meta-analysis of current updates on an emerging multidrug-resistant pathogen. [PDF]
Microbiologyopen, 2018 Osei Sekyere J.
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