Zhou, Tian-Yu; Tian, Bo; Shen, Yuan; Gao, Xiao-Tian Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a \((3+1)\)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1524.35572 Wave Motion 121, Article ID 103180, 11 p. (2023). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{T.-Y. Zhou} et al., Wave Motion 121, Article ID 103180, 11 p. (2023; Zbl 1524.35572) Full Text: DOI
Feng, Chun-Hui; Tian, Bo; Yang, Dan-Yu; Gao, Xiao-Tian Bilinear form, bilinear Bäcklund transformations, breather and periodic-wave solutions for a \((2+1)\)-dimensional shallow water equation with the time-dependent coefficients. (English) Zbl 07736300 Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 147, 19 p. (2023). MSC: 35Q86 35Q35 86A05 76B15 76U60 35C08 35B10 35B40 37K35 68W30 PDFBibTeX XMLCite \textit{C.-H. Feng} et al., Qual. Theory Dyn. Syst. 22, No. 4, Paper No. 147, 19 p. (2023; Zbl 07736300) Full Text: DOI
Gao, Xiao-Tian; Tian, Bo; Shen, Yuan; Feng, Chun-Hui Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system. (English) Zbl 1508.76018 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 104, 12 p. (2022). MSC: 76B15 76M55 86A05 68W30 PDFBibTeX XMLCite \textit{X.-T. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 104, 12 p. (2022; Zbl 1508.76018) Full Text: DOI
Li, He; Meng, Xiang-Hua; Tian, Bo Bilinear form and soliton solutions for the coupled nonlinear Klein-Gordon equations. (English) Zbl 1260.35206 Int. J. Mod. Phys. B 26, No. 15, Article ID 1250057, 10 p. (2012). MSC: 35Q55 35C08 33E17 PDFBibTeX XMLCite \textit{H. Li} et al., Int. J. Mod. Phys. B 26, No. 15, Article ID 1250057, 10 p. (2012; Zbl 1260.35206) Full Text: DOI
Sun, Kun; Tian, Bo; Liu, Wen-Jun; Li, Min; Qu, Qi-Xing; Jiang, Yan Symbolic-computation study on the (2+1)-dimensional dispersive long wave system. (English) Zbl 1385.76007 SIAM J. Appl. Math. 70, No. 7, 2259-2272 (2010). MSC: 76B25 35Q35 68W30 74J20 37J35 PDFBibTeX XMLCite \textit{K. Sun} et al., SIAM J. Appl. Math. 70, No. 7, 2259--2272 (2010; Zbl 1385.76007) Full Text: DOI
Geng, Tao; Meng, Xiang-Hua; Shan, Wen-Rui; Tian, Bo Bäcklund transformation and multi-soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries system via symbolic computation. (English) Zbl 1203.35218 Appl. Math. Comput. 217, No. 4, 1470-1475 (2010). MSC: 35Q53 35-04 35C08 35A24 37K10 37K35 PDFBibTeX XMLCite \textit{T. Geng} et al., Appl. Math. Comput. 217, No. 4, 1470--1475 (2010; Zbl 1203.35218) Full Text: DOI
Liu, Wen-Jun; Tian, Bo; Wang, Pan; Jiang, Yan; Sun, Kun; Li, Min; Qu, Qi-Xing A new approach to the analytic soliton solutions for the variable-coefficient higher-order nonlinear Schrödinger model in inhomogeneous optical fibers. (English) Zbl 1194.78043 J. Mod. Opt. 57, No. 4, 309-315 (2010). MSC: 78A60 35Q55 37K40 PDFBibTeX XMLCite \textit{W.-J. Liu} et al., J. Mod. Opt. 57, No. 4, 309--315 (2010; Zbl 1194.78043) Full Text: DOI
Zhang, Cheng; Tian, Bo; Xu, Tao; Li, Li-Li; Lü, Xing; Geng, Tao; Zhu, Hong-Wu Exact solutions to a \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvilli equation via the bilinear method and Wronskian technique. (English) Zbl 1186.35196 Commun. Theor. Phys. 52, No. 3, 468-472 (2009). MSC: 35Q53 35C08 35A24 35A30 PDFBibTeX XMLCite \textit{C. Zhang} et al., Commun. Theor. Phys. 52, No. 3, 468--472 (2009; Zbl 1186.35196) Full Text: DOI
Meng, Xiang-Hua; Tian, Bo; Feng, Qian; Yao, Zhen-Zhi; Ga, Yi-Tian Painlevé analysis and determinant solutions of a \((3+1)\)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in wronskian and grammian form. (English) Zbl 1187.37101 Commun. Theor. Phys. 51, No. 6, 1062-1068 (2009). Reviewer: Galina Filipuk (Warszawa) MSC: 37K10 PDFBibTeX XMLCite \textit{X.-H. Meng} et al., Commun. Theor. Phys. 51, No. 6, 1062--1068 (2009; Zbl 1187.37101) Full Text: DOI
Zhu, Hong-Wu; Tian, Bo; Meng, Xiang-Hua; Lü, Xing; Yao, Zhen-Zhi; Zhang, Cheng Symbolic computation, Bäcklund transformation and analytic \(N\)-soliton-like solution for a nonlinear Schrödinger equation with nonuniformity term from certain space/laboratory plasmas. (English) Zbl 1172.35074 J. Math. Anal. Appl. 356, No. 1, 193-200 (2009). MSC: 35Q55 37K35 35Q51 35C05 82D10 PDFBibTeX XMLCite \textit{H.-W. Zhu} et al., J. Math. Anal. Appl. 356, No. 1, 193--200 (2009; Zbl 1172.35074) Full Text: DOI
Zhu, Hong-Wu; Tian, Bo Bäcklund transformation in bilinear form for a higher-order nonlinear Schrödinger equation. (English) Zbl 1160.35538 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3706-3714 (2008). MSC: 35Q55 35Q51 35A30 37K35 78A15 PDFBibTeX XMLCite \textit{H.-W. Zhu} and \textit{B. Tian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 11, 3706--3714 (2008; Zbl 1160.35538) Full Text: DOI
Lü, Xing; Zhu, Hong-Wu; Yao, Zhen-Zhi; Meng, Xiang-Hua; Zhang, Cheng; Zhang, Chun-Yi; Tian, Bo Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications. (English) Zbl 1155.35455 Ann. Phys. 323, No. 8, 1947-1955 (2008). MSC: 35Q55 35Q51 34K35 PDFBibTeX XMLCite \textit{X. Lü} et al., Ann. Phys. 323, No. 8, 1947--1955 (2008; Zbl 1155.35455) Full Text: DOI
Tian, Bo; Gao, Yi-Tian; Zhu, Hong-Wu Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation. (English) Zbl 1203.81067 Phys. Lett., A 366, No. 3, 223-229 (2007). MSC: 81Q05 37K35 35Q55 PDFBibTeX XMLCite \textit{B. Tian} et al., Phys. Lett., A 366, No. 3, 223--229 (2007; Zbl 1203.81067) Full Text: DOI
Lü, Xing; Zhu, Hong-Wu; Meng, Xiang-Hua; Yang, Zai-Chun; Tian, Bo Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications. (English) Zbl 1128.35385 J. Math. Anal. Appl. 336, No. 2, 1305-1315 (2007). MSC: 35Q55 78A60 35-04 37K35 PDFBibTeX XMLCite \textit{X. Lü} et al., J. Math. Anal. Appl. 336, No. 2, 1305--1315 (2007; Zbl 1128.35385) Full Text: DOI