Du, Xia-Xia; Tian, Bo; Yin, Ying Lump, mixed lump-kink, breather and rogue waves for a B-type Kadomtsev-Petviashvili equation. (English) Zbl 1534.76015 Waves Random Complex Media 31, No. 1, 101-116 (2021). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76M99 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Xi-Yang; Tian, Bo; Liu, Lei; Guan, Yue-Yang; Jiang, Yan Bright solitons for a generalized nonautonomous nonlinear equation in a nonlinear inhomogeneous fiber. (English) Zbl 1510.35113 Commun. Nonlinear Sci. Numer. Simul. 47, 16-22 (2017). MSC: 35C08 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Yan; Tian, Bo; Li, Min; Wang, Pan Bright hump solitons for the higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 1284.35401 Nonlinear Dyn. 74, No. 4, 1053-1063 (2013). MSC: 35Q55 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Meng, Xiang Hua; Tian, Bo; Xu, Tao; Zhang, Hai Qiang Bäcklund transformation and conservation laws for the variable-coefficient \(N\)-coupled nonlinear Schrödinger equations with symbolic computation. (English) Zbl 1291.35359 Acta Math. Sin., Engl. Ser. 28, No. 5, 969-974 (2012). MSC: 35Q55 35A20 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Rui; Tian, Bo; Liu, Xing; Zhang, Hai-Qiang; Liu, Wen-Jun Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrödinger-Maxwell-Bloch system with symbolic computation. (Russian, English) Zbl 1274.35358 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 4, 671-671 (2012); translation in Comput. Math. Math. Phys. 52, No. 4, 565-577 (2012). MSC: 35Q55 35A22 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Wang, Pan; Li, Min; Jiang, Yan Bell-polynomial approach and soliton solutions for the Zhiber-Shabat equation and (2+1)-dimensional Gardner equation with symbolic computation. (English) Zbl 1263.35177 Nonlinear Dyn. 69, No. 4, 2031-2040 (2012). MSC: 35Q30 35Q40 35C08 33B10 × Cite Format Result Cite Review PDF Full Text: DOI
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Wang, Pan; Jiang, Yan Soliton solutions and Bäcklund transformation for the normalized linearly coupled nonlinear wave equations with symbolic computation. (English) Zbl 1248.35177 Appl. Math. Comput. 218, No. 21, 10386-10392 (2012). MSC: 35Q51 35C08 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Kun; Tian, Bo; Liu, Wen-Jun; Jiang, Yan; Qu, Qi-Xing; Wang, Pan Soliton dynamics and interaction in the Bose-Einstein condensates with harmonic trapping potential and time-varying interatomic interaction. (English) Zbl 1243.82013 Nonlinear Dyn. 67, No. 1, 165-175 (2012). MSC: 82B10 35Q55 37K40 35C08 82C22 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Licai; Tian, Bo; Qin, Bo; Lü, Xing; Lin, Zhiqiang; Liu, Wenjun Bäcklund transformation, superposition formulae and \(N\)-soliton solutions for the perturbed Korteweg-de Vries equation. (English) Zbl 1252.35243 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2394-2402 (2012). MSC: 35Q53 37K35 35C08 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Min; Xiao, Jing-Hua; Liu, Wen-Jun; Jiang, Yan; Sun, Kun; Tian, Bo Breather and double-pole solutions of the derivative nonlinear Schrödinger equation from optical fibers. (English) Zbl 1241.35189 Phys. Lett., A 375, No. 3, 549-557 (2011). MSC: 35Q55 78A50 35C08 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Qian; Gao, Yi-Tian; Meng, Xiang-Hua; Yu, Xin; Sun, Zhi-Yuan; Xu, Tao; Tian, Bo N-soliton-like solutions and Bäcklund transformations for a non-isospectral and variable-coefficient modified Korteweg-de Vries equation. (English) Zbl 1218.35207 Int. J. Mod. Phys. B 25, No. 5, 723-733 (2011). MSC: 35Q53 35Q51 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wen-Jun; Tian, Bo; Jiang, Yan; Sun, Kun; Wang, Pan; Li, Min; Qu, Qi-Xing Soliton solutions and Bäcklund transformation for the complex Ginzburg-Landau equation. (English) Zbl 1211.35255 Appl. Math. Comput. 217, No. 9, 4369-4376 (2011). Reviewer: Gheorghe Zet (Iaşi) MSC: 35Q56 37K35 37K40 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huan; Tian, Bo; Zhang, Hai-Qiang; Li, Li-Li Exact periodic and solitary-wave solutions of multi-component modified Korteweg-de Vries equations. (English) Zbl 1181.35256 Commun. Theor. Phys. 51, No. 4, 588-594 (2009). MSC: 35Q53 35C07 35-04 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Hong-Wu; Tian, Bo; Meng, Xiang-Hua; Li, Juan; Xu, Tao A bilinear Bäcklund transformation and \(N\)-soliton-like solution of three coupled higher-order nonlinear Schrödinger equations with symbolic computation. (English) Zbl 1392.35085 Commun. Theor. Phys. 50, No. 3, 689-695 (2008). MSC: 35C08 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Juan; Tian, Bo; Zhang, Hai-Qiang; Xu, Tao; Zhang, Ya-Xing Darboux transformation and Grammian solutions for nonisospectral modified Kadomtsev-Petviashvili equation with symbolic computation. (English) Zbl 1392.35006 Commun. Theor. Phys. 50, No. 2, 411-416 (2008). MSC: 35A22 35Q53 35C05 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Tao; Zhang, Chun-Yi; Li, Juan; Meng, Xiang-Hua; Zhu, Hong-Wu; Tian, Bo Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics. (English) Zbl 1231.76224 Wave Motion 44, No. 4, 262-270 (2007). MSC: 76M25 35Q35 35-04 35C05 76D05 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Yi-Tian; Tian, Bo Computerized symbolic computation for the cylindrical Korteweg-de Vries equation. (English) Zbl 0945.65104 Int. J. Mod. Phys. C 10, No. 7, 1303-1316 (1999). MSC: 65M06 35Q53 68W30 × Cite Format Result Cite Review PDF Full Text: DOI