Chen, Yu-Qi; Tian, Bo; Qu, Qi-Xing; Li, He; Zhao, Xue-Hui; Tian, He-Yuan; Wang, Meng Ablowitz-Kaup-Newell-Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg-de Vries equation in plasma physics, fluid dynamics or atmospheric science. (English) Zbl 07285456 Int. J. Mod. Phys. B 34, No. 25, Article ID 2050226, 8 p. (2020). MSC: 35Q53 35A22 35Q35 76X05 PDF BibTeX XML Cite \textit{Y.-Q. Chen} et al., Int. J. Mod. Phys. B 34, No. 25, Article ID 2050226, 8 p. (2020; Zbl 07285456) Full Text: DOI
Wu, Xiao-Yu; Tian, Bo; Qu, Qi-Xing; Yuan, Yu-Qiang; Du, Xia-Xia Rogue waves for a \((2+1)\)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate. (English) Zbl 1443.81040 Comput. Math. Appl. 79, No. 4, 1023-1030 (2020). MSC: 81Q80 35Q55 35Q82 78A60 PDF BibTeX XML Cite \textit{X.-Y. Wu} et al., Comput. Math. Appl. 79, No. 4, 1023--1030 (2020; Zbl 1443.81040) Full Text: DOI
Yuan, Yu-Qiang; Tian, Bo; Qu, Qi-Xing; Zhao, Xue-Hui; Du, Xia-Xia Periodic-wave and semirational solutions for the \((2 + 1)\)-dimensional Davey-Stewartson equations on the surface water waves of finite depth. (English) Zbl 1439.35411 Z. Angew. Math. Phys. 71, No. 2, Paper No. 46, 14 p. (2020). MSC: 35Q35 35N05 35J05 47H30 76B25 PDF BibTeX XML Cite \textit{Y.-Q. Yuan} et al., Z. Angew. Math. Phys. 71, No. 2, Paper No. 46, 14 p. (2020; Zbl 1439.35411) Full Text: DOI
Du, Zhong; Tian, Bo; Qu, Qi-Xing; Wu, Xiao-Yu; Zhao, Xue-Hui Vector rational and semi-rational rogue waves for the coupled cubic-quintic nonlinear Schrödinger system in a non-Kerr medium. (English) Zbl 1437.35622 Appl. Numer. Math. 153, 179-187 (2020). MSC: 35Q55 35Q51 78A60 37K40 37K35 PDF BibTeX XML Cite \textit{Z. Du} et al., Appl. Numer. Math. 153, 179--187 (2020; Zbl 1437.35622) Full Text: DOI
Zhang, Chen-Rong; Tian, Bo; Qu, Qi-Xing; Liu, Lei; Tian, He-Yuan Vector bright solitons and their interactions of the couple Fokas-Lenells system in a birefringent optical fiber. (English) Zbl 07171830 Z. Angew. Math. Phys. 71, No. 1, Paper No. 18, 19 p. (2020). MSC: 35Q55 35C08 35B40 78A60 35Q51 PDF BibTeX XML Cite \textit{C.-R. Zhang} et al., Z. Angew. Math. Phys. 71, No. 1, Paper No. 18, 19 p. (2020; Zbl 07171830) Full Text: DOI
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Sun, Kun; Wang, Pan Bäcklund transformation and soliton interactions for the Zakharov-Kuznetsov equation in plasmas. (English) Zbl 1248.35176 J. Math. Anal. Appl. 396, No. 2, 497-503 (2012). MSC: 35Q51 35C08 37K35 68W30 PDF BibTeX XML Cite \textit{Q.-X. Qu} et al., J. Math. Anal. Appl. 396, No. 2, 497--503 (2012; Zbl 1248.35176) 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 PDF BibTeX XML Cite \textit{Q.-X. Qu} et al., Appl. Math. Comput. 218, No. 21, 10386--10392 (2012; Zbl 1248.35177) 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 PDF BibTeX XML Cite \textit{K. Sun} et al., Nonlinear Dyn. 67, No. 1, 165--175 (2012; Zbl 1243.82013) Full Text: DOI
Qu, Qi-Xing; Tian, Bo; Sun, Kun; Jiang, Yan Bäcklund transformation, Lax pair, and solutions for the Caudrey-Dodd-Gibbon equation. (English) Zbl 1314.37050 J. Math. Phys. 52, No. 1, 013511, 10 p. (2011). MSC: 37K10 37K15 37K35 35C08 33E10 PDF BibTeX XML Cite \textit{Q.-X. Qu} et al., J. Math. Phys. 52, No. 1, 013511, 10 p. (2011; Zbl 1314.37050) Full Text: DOI
Qin, Bo; Tian, Bo; Liu, Wen-Jun; Liu, Li-Cai; Qu, Qi-Xing; Zhang, Hai-Qiang Solitonic excitations and interactions in the three-spine \(\alpha\)-helical protein with inhomogeneity. (English) Zbl 1232.35159 SIAM J. Appl. Math. 71, No. 4, 1317-1353 (2011). MSC: 35Q55 35Q51 37J35 68W30 92B05 PDF BibTeX XML Cite \textit{B. Qin} et al., SIAM J. Appl. Math. 71, No. 4, 1317--1353 (2011; Zbl 1232.35159) 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 PDF BibTeX XML Cite \textit{W.-J. Liu} et al., Appl. Math. Comput. 217, No. 9, 4369--4376 (2011; Zbl 1211.35255) Full Text: DOI
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Qu, Qi-Xing; Jiang, Yan Conservation laws and analytic soliton solutions for coupled integrable dispersionless equations with symbolic computation. (English) Zbl 1218.35192 Commun. Theor. Phys. 54, No. 4, 687-696 (2010). MSC: 35Q51 35C08 PDF BibTeX XML Cite \textit{P. Wang} et al., Commun. Theor. Phys. 54, No. 4, 687--696 (2010; Zbl 1218.35192) Full Text: DOI
Jiang, Yan; Tian, Bo; Liu, Wen-Jun; Sun, Kun; Qu, Qi-Xing Soliton solutions and bilinear Bäcklund transformation for generalized nonlinear Schrödinger equation with radial symmetry. (English) Zbl 1219.35282 Commun. Theor. Phys. 54, No. 4, 635-640 (2010). MSC: 35Q55 81Q05 35Q51 35C08 37K35 35B07 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Commun. Theor. Phys. 54, No. 4, 635--640 (2010; Zbl 1219.35282) 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 PDF BibTeX XML Cite \textit{K. Sun} et al., SIAM J. Appl. Math. 70, No. 7, 2259--2272 (2010; Zbl 1385.76007) Full Text: DOI
Qu, Qi-Xing; Tian, Bo; Liu, Wen-Jun; Li, Min; Sun, Kun Painlevé integrability and \(N\)-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas. (English) Zbl 1207.35091 Nonlinear Dyn. 62, No. 1-2, 229-235 (2010). MSC: 35C08 82D10 35Q60 37K10 35Q51 PDF BibTeX XML Cite \textit{Q.-X. Qu} et al., Nonlinear Dyn. 62, No. 1--2, 229--235 (2010; Zbl 1207.35091) Full Text: DOI
Qin, Bo; Tian, Bo; Liu, Wen-Jun; Zhang, Hai-Qiang; Qu, Qi-Xing; Liu, Li-Cai Solitonic excitations and interactions in an \(\alpha\)-helical protein modeled by three coupled nonlinear Schrödinger equations with variable coefficients. (English) Zbl 1203.92007 J. Phys. A, Math. Theor. 43, No. 48, Article ID 485201, 22 p. (2010). MSC: 92C05 92C40 81Q05 81V99 PDF BibTeX XML Cite \textit{B. Qin} et al., J. Phys. A, Math. Theor. 43, No. 48, Article ID 485201, 22 p. (2010; Zbl 1203.92007) Full Text: DOI
Jiang, Yan; Tian, Bo; Liu, Wenjun; Sun, Kun; Qu, Qixing Soliton solutions for a variable-coefficient Korteweg-de Vries equation in fluids and plasmas. (English) Zbl 1205.35257 Phys. Scr. 82, No. 5, Article ID 055008, 7 p. (2010). MSC: 35Q53 35Q51 35A22 35C08 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Phys. Scr. 82, No. 5, Article ID 055008, 7 p. (2010; Zbl 1205.35257) Full Text: DOI
Liu, Wen-Jun; Tian, Bo; Jian, Yan; Sun, Kun; Qu, Qi-Xing; Li, Min; Wang, Pan Bright and dark solitons in the normal dispersion regime of inhomogeneous optical fibers. (English) Zbl 1204.78025 J. Mod. Opt. 57, No. 16, 1498-1503 (2010). MSC: 78A60 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-J. Liu} et al., J. Mod. Opt. 57, No. 16, 1498--1503 (2010; Zbl 1204.78025) 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 PDF BibTeX XML Cite \textit{W.-J. Liu} et al., J. Mod. Opt. 57, No. 4, 309--315 (2010; Zbl 1194.78043) Full Text: DOI
Wang, Pan; Tian, Bo; Liu, Wen-Jun; Liu, Ying; Qu, Qi-Xing Soliton solutions and Bäcklund transformation for the generalized inhomogeneous coupled nonlinear Schrödinger equations via symbolic computation. (English) Zbl 1184.35298 Phys. Scr. 80, No. 6, Article ID 065012, 7 p. (2009). MSC: 35Q55 35C08 35A30 35A24 35K35 PDF BibTeX XML Cite \textit{P. Wang} et al., Phys. Scr. 80, No. 6, Article ID 065012, 7 p. (2009; Zbl 1184.35298) Full Text: DOI