Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Xiaoen Zhang"'
Publikováno v:
Advances in Mathematical Physics, Vol 2016 (2016)
The exact rational solutions, quasi-periodic wave solutions, and N-soliton solutions of 3 + 1 dimensional Jimbo-Miwa equation are acquired, respectively, by using the Hirota method, whereafter the rational solutions are also called algebraic solitary
Externí odkaz:
https://doaj.org/article/d0c01e59585348a19ccb6705ec10c6c8
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
A generalized (2+1)-dimensional variable-coefficient KdV equation is introduced, which can describe the interaction between a water wave and gravity-capillary waves better than the (1+1)-dimensional KdV equation. The N-soliton solutions of the (2+1)-
Externí odkaz:
https://doaj.org/article/9ee2865a88e941068739ec7f91cbc9cc
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
By constructing a kind of generalized Lie algebra, based on generalized Tu scheme, a new (2+1)-dimensional mKdV hierarchy is derived which popularizes the results of (1+1)-dimensional integrable system. Furthermore, the (2+1)-dimensional mKdV equatio
Externí odkaz:
https://doaj.org/article/bd89721aad3d4839bfff5f3615d3c190
Publikováno v:
Abstract and Applied Analysis, Vol 2014 (2014)
The AKNS-KN coupling system is obtained on the base of zero curvature equation by enlarging the spectral equation. Under the Bargmann symmetry constraint, the AKNS-KN coupling system is decomposed into two integrable Hamiltonian systems with the corr
Externí odkaz:
https://doaj.org/article/290c77bdc0404fa4bb89785def7786a7
In this paper, based on the nonlinear fractional equations proposed by Ablowitz, Been, and Carr in the sense of Riesz fractional derivative, we explore the fractional coupled Hirota equation and give its explicit form. Unlike the previous nonlinear f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::594c6b281157a38871e3925beeaec93d
http://arxiv.org/abs/2210.08172
http://arxiv.org/abs/2210.08172
Autor:
Xiaoen Zhang, Yong Zhang
Publikováno v:
Applied Mathematics Letters. 136:108465
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9ad61994441944c67810fc5a24527d59
https://doi.org/10.1016/j.aml.2022.108465
https://doi.org/10.1016/j.aml.2022.108465
Autor:
Yong Chen, Xiaoen Zhang
Publikováno v:
Applied Mathematics Letters. 98:306-313
Based on the robust inverse scattering method, the high-order rogue wave of generalized nonlinear Schrodinger equation with nonzero boundary is given. Using this method, we only need the elementary Darboux transformation but not with the limit progre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7889753952276ccac55b0c9028479884
https://doi.org/10.1016/j.aml.2019.06.014
https://doi.org/10.1016/j.aml.2019.06.014
Publikováno v:
Physica D: Nonlinear Phenomena. 432:133152
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::344a4279ebc46edbe47d419642f1bd70
https://doi.org/10.1016/j.physd.2021.133152
https://doi.org/10.1016/j.physd.2021.133152
Publikováno v:
Computers & Mathematics with Applications. 76:1938-1949
The rogue wave and a pair of resonance stripe solitons to KP equation are discovered. First, based on the bilinear method, some lump solutions are obtained containing six parameters, four of which must cater to the non-zero conditions so as to insure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13adfcdc0fa60d195981f7cac4cceadd
https://doi.org/10.1016/j.camwa.2018.07.040
https://doi.org/10.1016/j.camwa.2018.07.040
Publikováno v:
Nonlinear Dynamics. 94:2841-2862
Based on the KP hierarchy reduction technique, explicit two kinds of breather solutions to Mel’nikov system are constructed, one breather is localized in the x-direction and period in the y-direction, the other is the opposite, that is localized in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e291fae95243ccfe95251d5cc93f5b1d
https://doi.org/10.1007/s11071-018-4528-z
https://doi.org/10.1007/s11071-018-4528-z