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Nonautonomous soliton solutions for a nonintegrable Korteweg–de Vries equation with variable coefficients by the variational approach
- Source :
- Applied Mathematics Letters. 90:104-109
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- A nonintegrable Korteweg–de Vries equation with variable coefficients is investigated in this paper. Due to the existence of variable coefficients, the equation becomes nonintegrable, which leads to the invalidity of the traditional analytical methods to obtain soliton solutions. In order to overcome this difficulty, the variational approach is employed in this paper. The variational principle corresponding to this nonintegrable equation is established. Based on that, the first- and second-order nonautonomous soliton solutions are derived. We note that the obtained solutions can be degenerated to the integrable cases. Properties of the nonautonomous solitons and influence of the variable coefficients are discussed.
- Subjects :
- Vries equation
Integrable system
Applied Mathematics
010102 general mathematics
01 natural sciences
010101 applied mathematics
Nonlinear Sciences::Exactly Solvable and Integrable Systems
Variational principle
Applied mathematics
Order (group theory)
Soliton
0101 mathematics
Korteweg–de Vries equation
Nonlinear Sciences::Pattern Formation and Solitons
Mathematics
Variable (mathematics)
Subjects
Details
- ISSN :
- 08939659
- Volume :
- 90
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics Letters
- Accession number :
- edsair.doi...........91cc8a2b1922a3b7baaef29c44b6e271