N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation
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DOI: 10.1016/j.geomphys.2020.103598
Abstract: Abstract The present article deals with M -lump solution and N -soliton solution of the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation by virtue of Hirota bilinear operator method. The obtained solutions for solving the current equation represent… read more here.
Keywords: caudrey dodd; coefficient caudrey; localized waves; dimensional variable ... See more keywords
Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation
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DOI: 10.1016/j.geomphys.2021.104309
Abstract: Abstract In this paper, we investigate the extended Caudrey–Dodd–Gibbon equation. Using N-soliton solution and a novel velocity resonance condition can generate soliton molecules of the the extended Caudrey–Dodd–Gibbon equation. Further, by changing the distance between… read more here.
Keywords: caudrey dodd; soliton; extended caudrey; gibbon equation ... See more keywords
Symbolic computation of Caudrey–Dodd–Gibbon equation subject to periodic trigonometric and hyperbolic symmetries
Sign Up to like & getrecommendations! Published in 2021 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-021-01350-x
Abstract: The nonlinear evolution equations have been being continuously traced out to have remarkable progress and innovative applications by mathematicians and physicists. In this context, the comparison of $$(G^{{\prime }} /G,1/G)$$ and $$(1/G^{{\prime }} )$$ -expansion… read more here.
Keywords: caudrey dodd; periodic trigonometric; gibbon equation; dodd gibbon ... See more keywords
Soliton Molecules and Some Novel Types of Hybrid Solutions to (2 + 1)-Dimensional Variable-Coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
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DOI: 10.1155/2020/2670710
Abstract: Soliton molecules of the (2 + 1)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived by - soliton solutions and a new velocity resonance condition. Moreover, soliton molecules can become asymmetric solitons when the distance between two solitons of the… read more here.
Keywords: caudrey dodd; coefficient caudrey; soliton molecules; dodd gibbon ... See more keywords
Analytical Solutions to the Caudrey-Dodd-Gibbon-Sawada-Kotera Equation via Symbol Calculation Approach
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DOI: 10.1155/2020/5042724
Abstract: In this paper, we derive analytical solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation via symbol calculation approach. Applying the exp−φz-expansion method, we achieve the trigonometric, exponential, hyperbolic, and rational function solutions for the CDGSK equation. By… read more here.
Keywords: gibbon sawada; analytical solutions; caudrey dodd; dodd gibbon ... See more keywords
Construction of new solutions of Korteweg-de Vries Caudrey-Dodd-Gibbon equation using two efficient integration methods
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DOI: 10.1371/journal.pone.0275118
Abstract: Korteweg-de Vries Caudrey-Dodd-Gibbon (KdV-CDG) equation describes many physical phenomena in plasma physics, optical fibers, dynamics of the ocean, quantum mechanics, acoustic waves and laser optical applications. In this paper, the KdV-CDG equation is analyzed via… read more here.
Keywords: equation; caudrey dodd; vries caudrey; korteweg vries ... See more keywords
An Efficient Analytical Approach to Investigate Fractional Caudrey-Dodd-Gibbon Equations with Non-Singular Kernel Derivatives
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DOI: 10.3390/sym15040850
Abstract: Fractional calculus is at this time an area where many models are still being developed, explored, and used in real-world applications in many branches of science and engineering where non-locality plays a key role. Although… read more here.
Keywords: non singular; caudrey dodd; dodd gibbon; singular kernel ... See more keywords