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New Wave Solutions for the Two-Mode Caudrey-Dodd-Gibbon Equation
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These authors contributed equally to this work.
Version 1
: Received: 18 May 2023 / Approved: 19 May 2023 / Online: 19 May 2023 (10:38:22 CEST)
A peer-reviewed article of this Preprint also exists.
Cimpoiasu, R.; Constantinescu, R. New Wave Solutions for the Two-Mode Caudrey—Dodd–Gibbon Equation. Axioms 2023, 12, 619. Cimpoiasu, R.; Constantinescu, R. New Wave Solutions for the Two-Mode Caudrey—Dodd–Gibbon Equation. Axioms 2023, 12, 619.
Abstract
In this paper, we exhibit new dynamical properties of the two-mode Caudrey-Dodd-Gibbon (TMCDG) equation. This model describes the motion of dual-waves in dispersive and nonlinear media, which mainly depends on the nonlinearity and dispersion parameters. The overlapping of such two-mode waves is affected by the phase-velocity parameter. The study takes a full advantages of the Kudryashov method and of the exponential-expansion method. For the first time, dual-wave solutions are obtained for arbitrary values of the nonlinearity and dispersive factors. The graphs of the novel solutions are also provided in order to depict the waves propagation, as well as to show the influence of the parameters.
Keywords
Two-mode Caudrey-Dodd-Gibbon equation; Kudryashov method; exponential-expansion method; dual-wave solutions; symbolic computation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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