New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation
In this paper, we present new dynamical properties of the two-mode Caudrey–Dodd–Gibbon (TMCDG) equation. This equation describes the propagation of dual waves in the same direction with different phase velocities, dispersion parameters, and nonlinearity. This study takes a full advantage of the Kudr...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-06-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/7/619 |
| _version_ | 1797590296447418368 |
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| author | Rodica Cimpoiasu Radu Constantinescu |
| author_facet | Rodica Cimpoiasu Radu Constantinescu |
| author_sort | Rodica Cimpoiasu |
| collection | DOAJ |
| description | In this paper, we present new dynamical properties of the two-mode Caudrey–Dodd–Gibbon (TMCDG) equation. This equation describes the propagation of dual waves in the same direction with different phase velocities, dispersion parameters, and nonlinearity. This study takes a full advantage 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. Graphs of the novel solutions are included in order to show the waves’ propagation, as well as the influence of the involved parameters. |
| first_indexed | 2024-03-11T01:18:34Z |
| format | Article |
| id | doaj.art-63a885668a3244c58937c9ae18695851 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T01:18:34Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-63a885668a3244c58937c9ae186958512023-11-18T18:17:03ZengMDPI AGAxioms2075-16802023-06-0112761910.3390/axioms12070619New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon EquationRodica Cimpoiasu0Radu Constantinescu1Applied Life Sciences and Biotechnologies Research Center, University of Craiova, 13 A. I. Cuza Street, 200585 Craiova, RomaniaDepartment of Physics, University of Craiova, 13 A. I. Cuza Street, 200585 Craiova, RomaniaIn this paper, we present new dynamical properties of the two-mode Caudrey–Dodd–Gibbon (TMCDG) equation. This equation describes the propagation of dual waves in the same direction with different phase velocities, dispersion parameters, and nonlinearity. This study takes a full advantage 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. Graphs of the novel solutions are included in order to show the waves’ propagation, as well as the influence of the involved parameters.https://www.mdpi.com/2075-1680/12/7/619two-mode Caudrey–Dodd–Gibbon equationKudryashov methodexponential expansion methoddual-wave solutions |
| spellingShingle | Rodica Cimpoiasu Radu Constantinescu New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation Axioms two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions |
| title | New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation |
| title_full | New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation |
| title_fullStr | New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation |
| title_full_unstemmed | New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation |
| title_short | New Wave Solutions for the Two-Mode Caudrey–Dodd–Gibbon Equation |
| title_sort | new wave solutions for the two mode caudrey dodd gibbon equation |
| topic | two-mode Caudrey–Dodd–Gibbon equation Kudryashov method exponential expansion method dual-wave solutions |
| url | https://www.mdpi.com/2075-1680/12/7/619 |
| work_keys_str_mv | AT rodicacimpoiasu newwavesolutionsforthetwomodecaudreydoddgibbonequation AT raduconstantinescu newwavesolutionsforthetwomodecaudreydoddgibbonequation |