Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Jin-Xi Fei"'
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
The integrable Alice–Bob system with the shifted parity and delayed time reversal is presented through the Lax pair for the (1 + 1)-dimensional Boussinesq equation. After introducing an extended Bäcklund transformation, this system shows abundant
Externí odkaz:
https://doaj.org/article/d5623bf1c9d44667882f6317d4d4f625
Publikováno v:
Results in Physics, Vol 43, Iss , Pp 106090- (2022)
Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid struct
Externí odkaz:
https://doaj.org/article/4c221f4387df4c83824f6e27d17008f4
Publikováno v:
Results in Physics, Vol 35, Iss , Pp 105363- (2022)
One N-soliton solution of the (2+1)-dimensional combined potential Kadomtsev–Petviashvili (pKP) with B-type Kadomtsev–Petviashvili (BKP) equation, which involves the soliton molecules, is constructed with the aid of its Hirota bilinear form. Thes
Externí odkaz:
https://doaj.org/article/07f5b0ab034e453db9f8e6aeb3c4cd16
Publikováno v:
Complexity, Vol 2020 (2020)
The Benjamin–Ono equation is a useful model to describe the long internal gravity waves in deep stratified fluids. In this paper, the nonlocal Alice–Bob Benjamin–Ono system is induced via the parity and time-reversal symmetry reduction. By intr
Externí odkaz:
https://doaj.org/article/f935476823d64a23a541ef9b31cc3e04
Publikováno v:
Complexity, Vol 2020 (2020)
The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed vi
Externí odkaz:
https://doaj.org/article/08629ac5a2464548a7e0b2c64b070c50
Publikováno v:
Complexity, Vol 2019 (2019)
The residual symmetry of a (3+1)-dimensional Korteweg-de Vries (KdV)-like equation is constructed using the truncated Painlevé expansion. Such residual symmetry can be localized and the (3+1)-dimensional KdV-like equation is extended into an enlarge
Externí odkaz:
https://doaj.org/article/2d02030c3b6248508ceb04e276921913
Publikováno v:
Journal of the Korean Physical Society.
Publikováno v:
Complexity, Vol 2020 (2020)
The Kadomtsev–Petviashvili equation is one of the well-studied models of nonlinear waves in dispersive media and in multicomponent plasmas. In this paper, the coupled Alice-Bob system of the Kadomtsev–Petviashvili equation is first constructed vi
Publikováno v:
SSRN Electronic Journal.
Publikováno v:
Nonlinear Dynamics. 98:551-560
With the inhomogeneities of media taken into account, a generalized variable-coefficient Kadomtsev–Petviashvili (vcKP) equation is proposed to model nonlinear waves in fluid mechanics and plasma physics. Based on Hirota bilinear method and symbolic