Zobrazeno 1 - 10
of 28
pro vyhledávání: '"Jun-xiao Zhao"'
Publikováno v:
Results in Physics, Vol 55, Iss , Pp 107188- (2023)
In this paper, we investigate the combined KdV-mKdV equation which serves as a valuable tool in the study of water waves, enabling researchers to understand and predict the behaviour of various wave phenomena, including solitary waves, wave breaking,
Externí odkaz:
https://doaj.org/article/a197b692140e48ba9efc9f13e688fd25
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100296- (2022)
In this paper, we further develop and enrich the results on conservation laws obtained in Zhu (2003) and present two forms of conservation laws in different directions. In addition, we obtain Lax pairs from Bäcklund transformations for two existing
Externí odkaz:
https://doaj.org/article/85c40b9d14714fe588480c0b9f46c720
Publikováno v:
Nonlinear Dynamics. 111:2651-2661
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d2f30cdc56035885c05859037f275b2e
https://doi.org/10.1007/s11071-022-07968-5
https://doi.org/10.1007/s11071-022-07968-5
Publikováno v:
Journal of Nonlinear Mathematical Physics. 16:169
In this paper, we first obtain Wronskian solutions to the Backlund transformation of the Leznov lattice and then derive the coupled system for the Backlund transformation through Pfaffianization. It is shown the coupled system is nothing but the Back
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7747903099d0739dd1e3199607ca5d6
https://doi.org/10.1142/s1402925109000169
https://doi.org/10.1142/s1402925109000169
The Novikov equation is an integrable analogue of the Camassa-Holm equation with a cubic (rather than quadratic) nonlinear term. Both these equations support a special family of weak solutions called multipeakon solutions. In this paper, an approach
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50b29ac9efeace3143ae379ac1f986da
Autor:
Donglong Li, Jun-Xiao Zhao
Publikováno v:
Applied Mathematics and Computation. 215:1968-1974
Exact soliton solutions to the (2+1)-dimensional Ito equation are studied based on the idea of extended homoclinic test and bilinear method. Some explicit solutions, such as triangle function solutions, soliton solutions, doubly-periodic wave solutio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::987f3812c5e222cf13e905b474ac6c2b
https://doi.org/10.1016/j.amc.2009.07.058
https://doi.org/10.1016/j.amc.2009.07.058
Autor:
Jun-Xiao Zhao
Publikováno v:
Mathematics and Computers in Simulation. 74:388-396
We present a modified version of the semi-discrete Toda lattice, which also serves as a Backlund transformation for the semi-discrete Toda lattice, and we give N-soliton solution of this modified semi-discrete Toda equation in terms of Casorati deter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0533be105ae76f183c44bdd803f740b
https://doi.org/10.1016/j.matcom.2006.10.031
https://doi.org/10.1016/j.matcom.2006.10.031
Autor:
Hon Wah Tam, Jun Xiao Zhao
Publikováno v:
Applied Mathematics Letters. 19:307-313
In this work, multi-soliton solutions of the coupled Ramani equations u x x x x x x + 15 u x x u x x x + 15 u x u x x x x + 45 u x 2 u x x − 5 ( u x x x t + 3 u x x u t + 3 u x u x t ) − 5 u t t + 18 w x = 0 , w t − w x x x − 3 w x u x − 3
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e277a808ed9d842db01301696e9ab7e4
https://doi.org/10.1016/j.aml.2005.01.006
https://doi.org/10.1016/j.aml.2005.01.006
Publikováno v:
Linear Algebra and its Applications. 407:277-295
We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-dimensional three wave interaction equation is produced by using Hirota
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a24b46198f41beac0130de3da467b968
https://doi.org/10.1016/j.laa.2005.05.012
https://doi.org/10.1016/j.laa.2005.05.012
Publikováno v:
Theoretical and Mathematical Physics. 144:1288-1295
We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta’s Pfaffianization procedure. We give the Gramm-type Pfaffian solution for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78799758ae236c5c46876529f98aefa3
https://doi.org/10.1007/s11232-005-0160-4
https://doi.org/10.1007/s11232-005-0160-4