Zobrazeno 1 - 10
of 267
pro vyhledávání: '"XIANGUO GENG"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 27742-27761 (2023)
Starting from a $ 3\times3 $ matrix spectral problem and the characteristic polynomial of the Lax matrix, we propose a trigonal curve, the associated meromorphic functions and three kinds of Abelian differentials. By discussing the asymptotic propert
Externí odkaz:
https://doaj.org/article/2e8056e0129947498892af38973198e9
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
In this work, we present two finite-dimensional Lie–Poisson Hamiltonian systems associated with the Hirota–Satsuma modified Boussinesq equation by using the nonlinearization method. Moreover, the separation of variables on the common level set of
Externí odkaz:
https://doaj.org/article/80d5e34771eb4a17a2168ede4ab06238
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100206- (2022)
Based on the zero-curvature equation and Lenard recursion equations, we propose a vector super long-wave-short-wave hierarchy associated with an (n+2)×(n+2)matrix spectral problem. A typical member in the hierarchy is the vector super Newell long-wa
Externí odkaz:
https://doaj.org/article/3e9c846eb2264a2fb970abccaba05b06
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7413-7437 (2020)
In this paper, we study the long-time asymptotic behavior of the solution of the Cauchy problem for the generalized Sasa-Satsuma equation. Starting with the 3 × 3 Lax pair related to the generalized Sasa-Satsuma equation, we construct a Rieman-Hilbe
Externí odkaz:
https://doaj.org/article/2b339d432ee0467db6c17a9e49439b28
Publikováno v:
Results in Physics, Vol 31, Iss , Pp 105027- (2021)
In the present paper, we introduce a 4 × 4 matrix spectral problem and derive a four-component Fokas–Lenells equation. N-fold Darboux transformations for the four-component Fokas–Lenells equation are constructed by using the gauge transformation
Externí odkaz:
https://doaj.org/article/1ab282454f014d3397e965e7e45be419
Autor:
Xianguo Geng, Ruomeng Li
Publikováno v:
Mathematics, Vol 7, Iss 10, p 958 (2019)
A vector modified Yajima−Oikawa long-wave−short-wave equation is proposed using the zero-curvature presentation. On the basis of the Riccati equations associated with the Lax pair, a method is developed to construct multi-fold classical and gener
Externí odkaz:
https://doaj.org/article/270c8cec04df4f65b38d8986d85ba95e
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
The relations between Dp-operators and multidimensional binary Bell polynomials are explored and applied to construct the bilinear forms with Dp-operators of nonlinear equations directly and quickly. Exact periodic wave solution of a (3+1)-dimensiona
Externí odkaz:
https://doaj.org/article/d0132d0d0bc942879e68649b656c885d
Publikováno v:
Journal of Applied Mathematics, Vol 2014 (2014)
Nonlinear integrable couplings of super classical-Boussinesq hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then, its super Hamiltonian structures were established by using super trace identity. As its reduction, nonlinea
Externí odkaz:
https://doaj.org/article/03e00e57da00446795620002b5c1b29a
Autor:
JING SHEN1 shenjing@haut.edu.cn, XIANGUO GENG2
Publikováno v:
Acta Physica Polonica B. 2023, Vol. 54 Issue 3, p1-16. 16p.
Publikováno v:
Journal of Differential Equations. 357:181-235