Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Shou-Ting Chen"'
Publikováno v:
Advances in Mathematical Physics, Vol 2024 (2024)
PACS: 02.30.Ik, 05.45.Yv.
Externí odkaz:
https://doaj.org/article/240688ceccec4fedbc3509f2d496cb69
Autor:
Shou-Ting Chen, Wen-Xiu Ma
Publikováno v:
Mathematics, Vol 11, Iss 8, p 1794 (2023)
Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to
Externí odkaz:
https://doaj.org/article/20afb52e8b57473292a565e36f4d777e
Autor:
Shou-Ting Chen, Wen-Xiu Ma
Publikováno v:
Complexity, Vol 2019 (2019)
We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations
Externí odkaz:
https://doaj.org/article/0c7da243d65043ccb4f607e42c7657df
Autor:
Shou-Ting Chen, Wen-Xiu Ma
Publikováno v:
Modern Physics Letters B. 37
This paper aims to present two hierarchies of nonlocal reduced integrable mKdV-type equations from a vector integrable hierarchy associated with a matrix Lie algebra, not being A type. The key point is to make similarity transformations for the spect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7f28bf1243c24bacdfe5ed2f812601a
https://doi.org/10.1142/s0217984923500458
https://doi.org/10.1142/s0217984923500458
Autor:
Shou-Ting Chen, Wen-Xiu Ma
Publikováno v:
Computers & Mathematics with Applications. 76:1680-1685
A generalized Calogero–Bogoyavlenskii–Schiff equation is considered, and based on its Hirota bilinear form, a class of lump solutions is explicitly generated via symbolic computations with Maple, together with plots of a specific lump solution. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::60ef1381e98cdd0ef55130767d2e313a
https://doi.org/10.1016/j.camwa.2018.07.019
https://doi.org/10.1016/j.camwa.2018.07.019
Publikováno v:
Applied Mathematics Letters. 78:112-117
Linear superposition principle is applied to the Hirota bilinear form of a new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation, which leads to a sufficient and necessary criterion for the existence of linear subspaces of exponential t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f46e704234285d0fb650870c606474f7
https://doi.org/10.1016/j.aml.2017.10.013
https://doi.org/10.1016/j.aml.2017.10.013
Autor:
Shou-Ting Chen, Wen-Xiu Ma
Publikováno v:
Frontiers of Mathematics in China. 13:525-534
A (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation that possesses a Hirota bilinear form is considered. Starting with its Hirota bilinear form, a class of explicit lump solutions is computed through conducting symbolic computation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e179c0429b58b3976f1a635f23bf1240
https://doi.org/10.1007/s11464-018-0694-z
https://doi.org/10.1007/s11464-018-0694-z
Publikováno v:
Acta Mathematicae Applicatae Sinica, English Series. 33:871-892
The main purpose of this thesis is in analyzing and empirically simulating risk minimizing European foreign exchange option pricing and hedging strategy when the spot foreign exchange rate is governed by a Markov-modulated jump-diffusion model. The d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::79500b73f99f03df1f390a8aad596590
https://doi.org/10.1007/s10255-017-0704-z
https://doi.org/10.1007/s10255-017-0704-z
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 43:151-157
Based on a Lie super-algebra B(0, 1), an integrable generalization of the super AKNS iso-spectral problem is introduced and its corresponding generalized super AKNS hierarchy is generated. By making use of the super-trace identity (or the super varia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5039a6bf359dbbda3e39b9db173009f0
https://doi.org/10.1016/j.cnsns.2016.06.033
https://doi.org/10.1016/j.cnsns.2016.06.033
Publikováno v:
Applied Mathematics Letters. 58:13-18
With the generalized bilinear operators based on a prime number p = 3 , a Hirota-Satsuma-like equation is proposed. Rational solutions are generated and graphically described by using symbolic computation software Maple.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8deae28d5a994589b5a780331a9ae99
https://doi.org/10.1016/j.aml.2015.12.019
https://doi.org/10.1016/j.aml.2015.12.019