Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He Generalized (2 + 1)-dimensional Gardner model: bilinear equations, Bäcklund transformation, Lax representation and interaction mechanisms. (English) Zbl 1247.35107 Nonlinear Dyn. 67, No. 3, 2279-2290 (2012). MSC: 35Q35 35Q86 35A22 76L05 PDFBibTeX XMLCite \textit{X. Lü} et al., Nonlinear Dyn. 67, No. 3, 2279--2290 (2012; Zbl 1247.35107) Full Text: DOI
Qi, Feng-Hua; Tian, Bo; Xu, Tao; Zhang, Hai-Qiang; Li, Li-Li; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun Painlevé analysis, Lax pair and Bäcklund transformation for the Gross-Pitaevskii equation in the Bose-Einstein condensates. (English) Zbl 1333.82016 Int. J. Mod. Phys. B 25, No. 8, 1037-1047 (2011). MSC: 82C26 81Q05 35Q55 37K35 68W30 PDFBibTeX XMLCite \textit{F.-H. Qi} et al., Int. J. Mod. Phys. B 25, No. 8, 1037--1047 (2011; Zbl 1333.82016) Full Text: DOI
Lü, Xing; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Li, He Integrability study on a generalized \((2+1)\)-dimensional variable-coefficient gardner model with symbolic computation. (English) Zbl 1311.35261 Chaos 20, No. 4, 043125, 4 p. (2010). MSC: 35Q53 37K10 37K35 68W30 PDFBibTeX XMLCite \textit{X. Lü} et al., Chaos 20, No. 4, 043125, 4 p. (2010; Zbl 1311.35261) Full Text: DOI
Lü, Xing; Li, Juan; Zhang, Hai-Qiang; Xu, Tao; Li, Li-Li; Tian, Bo Integrability aspects with optical solitons of a generalized variable-coefficient \(N\)-coupled higher order nonlinear Schrödinger system from inhomogeneous optical fibers. (English) Zbl 1310.35219 J. Math. Phys. 51, No. 4, 043511, 24 p. (2010). MSC: 35Q55 35C08 78A50 81U30 35L67 35A22 PDFBibTeX XMLCite \textit{X. Lü} et al., J. Math. Phys. 51, No. 4, 043511, 24 p. (2010; Zbl 1310.35219) Full Text: DOI
Guo, Rui; Tian, Bo; Lü, Xing; Zhang, Hai-Qiang; Xu, Tao Integrability aspects and soliton solutions for a system describing ultrashort pulse propagation in an inhomogeneous multi-component medium. (English) Zbl 1219.78113 Commun. Theor. Phys. 54, No. 3, 536-544 (2010). MSC: 78A60 35Q51 35Q55 37K40 37K35 68W30 PDFBibTeX XMLCite \textit{R. Guo} et al., Commun. Theor. Phys. 54, No. 3, 536--544 (2010; Zbl 1219.78113) Full Text: DOI
Zhang, Hai-Qiang; Tian, Bo; Lü, Xing; Li, He; Meng, Xiang-Hua Soliton interaction in the coupled mixed derivative nonlinear Schrödinger equations. (English) Zbl 1234.35259 Phys. Lett., A 373, No. 47, 4315-4321 (2009). MSC: 35Q55 35C08 81U05 81U35 78A50 78A45 81P68 PDFBibTeX XMLCite \textit{H.-Q. Zhang} et al., Phys. Lett., A 373, No. 47, 4315--4321 (2009; Zbl 1234.35259) Full Text: DOI
Zhang, Hai-Qiang; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Liu, Wen-Jun Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation. (English) Zbl 1188.35184 Eur. Phys. J. B, Condens. Matter Complex Syst. 72, No. 2, 233-239 (2009). MSC: 35Q55 35L65 35C08 PDFBibTeX XMLCite \textit{H.-Q. Zhang} et al., Eur. Phys. J. B, Condens. Matter Complex Syst. 72, No. 2, 233--239 (2009; Zbl 1188.35184) Full Text: DOI
Li, Hong-Zhe; Tian, Bo; Lü, Xing; Zhang, Hai-Qiang The Darboux transformation and soliton solutions for a new \((2+1)\)-dimensional variant Boussinesq system in shallow water with symbolic computation. (English) Zbl 1179.35274 Phys. Scr. 80, No. 3, Article ID 035002 (2009). MSC: 35Q51 35Q35 35C08 37K10 35A30 37K35 PDFBibTeX XMLCite \textit{H.-Z. Li} et al., Phys. Scr. 80, No. 3, Article ID 035002 (2009; Zbl 1179.35274) Full Text: DOI