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Published in 2021 at "Journal of Geometry and Physics"
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…
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Keywords:
caudrey dodd;
soliton;
extended caudrey;
gibbon equation ... See more keywords
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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…
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Keywords:
caudrey dodd;
periodic trigonometric;
gibbon equation;
dodd gibbon ... See more keywords
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Published in 2020 at "Advances in Mathematical Physics"
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…
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Keywords:
caudrey dodd;
coefficient caudrey;
soliton molecules;
dodd gibbon ... See more keywords
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Published in 2020 at "Journal of Function Spaces"
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…
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Keywords:
gibbon sawada;
analytical solutions;
caudrey dodd;
dodd gibbon ... See more keywords
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Published in 2022 at "PLoS ONE"
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…
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Keywords:
equation;
caudrey dodd;
vries caudrey;
korteweg vries ... See more keywords
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Published in 2023 at "Symmetry"
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…
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Keywords:
non singular;
caudrey dodd;
dodd gibbon;
singular kernel ... See more keywords