N-lump and interaction solutions of localized waves to the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
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
Sign Up to like & getrecommendations! 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… read more here.
Keywords: caudrey dodd; soliton; extended caudrey; gibbon equation ... See more keywords
Equivalence group of the (2+1)-dimensional variable coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation
Sign Up to like & getrecommendations! Published in 2025 at "Physica Scripta"
DOI: 10.1088/1402-4896/ae1428
Abstract: We derive the equivalence group for the (2+1)-dimensional variable-coefficient Caudrey–Dodd–Gibbon–Kotera–Sawada equation. Specifically, we determine the relationships among the coefficient functions that make this class equivalent to its constant-coefficient counterpart. In fact, this is the only… read more here.
Keywords: caudrey dodd; dodd gibbon; variable coefficient; coefficient ... 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
Sign Up to like & getrecommendations! 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… 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
Sign Up to like & getrecommendations! 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… 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
Sign Up to like & getrecommendations! 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… read more here.
Keywords: equation; caudrey dodd; vries caudrey; korteweg vries ... See more keywords
The Multi-Soliton Solutions for the (2+1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
Sign Up to like & getrecommendations! Published in 2025 at "Mathematics"
DOI: 10.3390/math13020236
Abstract: The (2+1)-dimensional integrable Caudrey–Dodd–Gibbon–Kotera–Sawada equation is a higher-order generalization of the Kadomtsev–Petviashvili equation, which can be applied in some physical branches such as the nonlinear dispersive phenomenon. In this paper, we first present the bilinear… read more here.
Keywords: equation; soliton; caudrey dodd; dodd gibbon ... See more keywords
An Efficient Analytical Approach to Investigate Fractional Caudrey-Dodd-Gibbon Equations with Non-Singular Kernel Derivatives
Sign Up to like & getrecommendations! 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… read more here.
Keywords: non singular; caudrey dodd; dodd gibbon; singular kernel ... See more keywords