Xu, Tao; Liu, Changjing; Qi, Fenghua; Li, Chunxia; Meng, Dexin New double Wronskian solutions of the Whitham-Broer-Kaup system: asymptotic analysis and resonant soliton interactions. (English) Zbl 1420.35300 J. Nonlinear Math. Phys. 24, No. 1, 116-141 (2017). MSC: 35Q51 37K40 35C08 PDFBibTeX XMLCite \textit{T. Xu} et al., J. Nonlinear Math. Phys. 24, No. 1, 116--141 (2017; Zbl 1420.35300) Full Text: DOI
Meng, De-Xin; Gao, Yi-Tian; Wang, Lei; Xu, Peng-Bo Elastic and inelastic interactions of solitons for a variable-coefficient generalized dispersive water-wave system. (English) Zbl 1297.76039 Nonlinear Dyn. 69, No. 1-2, 391-398 (2012). MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{D.-X. Meng} et al., Nonlinear Dyn. 69, No. 1--2, 391--398 (2012; Zbl 1297.76039) Full Text: DOI
Wang, Lei; Gao, Yi-Tian; Sun, Zhi-Yuan; Qi, Feng-Hua; Meng, De-Xin; Lin, Guo-Dong Solitonic interactions, Darboux transformation and double Wronskian solutions for a variable-coefficient derivative nonlinear Schrödinger equation in the inhomogeneous plasmas. (English) Zbl 1356.76457 Nonlinear Dyn. 67, No. 1, 713-722 (2012). MSC: 76X05 35Q55 85A30 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Dyn. 67, No. 1, 713--722 (2012; Zbl 1356.76457) Full Text: DOI
Wang, Lei; Gao, Yi-Tian; Meng, De-Xin; Gai, Xiao-Ling; Xu, Peng-Bo Soliton-shape-preserving and soliton-complex interactions for a \((1+1)\)-dimensional nonlinear dispersive-wave system in shallow water. (English) Zbl 1392.35269 Nonlinear Dyn. 66, No. 1-2, 161-168 (2011). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{L. Wang} et al., Nonlinear Dyn. 66, No. 1--2, 161--168 (2011; Zbl 1392.35269) Full Text: DOI
Lin, Guo-Dong; Gao, Yi-Tian; Gai, Xiao-Ling; Meng, De-Xin Extended double Wronskian solutions to the Whitham-Broer-Kaup equations in shallow water. (English) Zbl 1284.35344 Nonlinear Dyn. 64, No. 1-2, 197-206 (2011). MSC: 35Q35 68W30 35Q51 76B15 35C08 35C09 PDFBibTeX XMLCite \textit{G.-D. Lin} et al., Nonlinear Dyn. 64, No. 1--2, 197--206 (2011; Zbl 1284.35344) Full Text: DOI
Meng, Dexin; Gao, Yitian; Wang, Lei; Gai, Xiaoling \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water. (English) Zbl 1362.76018 Appl. Math. Comput. 218, No. 8, 4049-4055 (2011). MSC: 76B25 35Q51 PDFBibTeX XMLCite \textit{D. Meng} et al., Appl. Math. Comput. 218, No. 8, 4049--4055 (2011; Zbl 1362.76018) Full Text: DOI
Xu, Pengbo; Gao, Yitian; Gai, Xiaoling; Meng, Dexin; Shen, Yujia; Wang, Lei Soliton solutions, Bäcklund transformation and Wronskian solutions for the extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics. (English) Zbl 1380.76007 Appl. Math. Comput. 218, No. 6, 2489-2496 (2011). MSC: 76B20 35Q51 35Q35 PDFBibTeX XMLCite \textit{P. Xu} et al., Appl. Math. Comput. 218, No. 6, 2489--2496 (2011; Zbl 1380.76007) Full Text: DOI
Gai, Xiao-Ling; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Lü, Xing; Sun, Zhi-Yuan; Yu, Xin Painlevé property, Lax pair and Darboux transformation of the variable-coefficient modified Kortweg-de Vries model in fluid-filled elastic tubes. (English) Zbl 1221.35334 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1776-1782 (2011). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{X.-L. Gai} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1776--1782 (2011; Zbl 1221.35334) Full Text: DOI
Lin, Guo-Dong; Gao, Yi-Tian; Wang, Lei; Meng, De-Xin; Yu, Xin Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model. (English) Zbl 1419.76089 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3090-3096 (2011). MSC: 76B15 PDFBibTeX XMLCite \textit{G.-D. Lin} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3090--3096 (2011; Zbl 1419.76089) Full Text: DOI
Lin, Guo-Dong; Gao, Yi-Tian; Sun, Zhi-Yuan; Yu, Xin; Meng, De-Xin Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves. (English) Zbl 1420.76001 Appl. Math. Comput. 217, No. 9, 4805-4811 (2011). MSC: 76B25 76B15 PDFBibTeX XMLCite \textit{G.-D. Lin} et al., Appl. Math. Comput. 217, No. 9, 4805--4811 (2011; Zbl 1420.76001) Full Text: DOI
Meng, De-Xin; Gao, Yi-Tian; Gai, Xiao-Ling; Wang, Lei; Yu, Xin; Sun, Zhi-Yuan; Wang, Ming-Zhen; Lü, Xing Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves. (English) Zbl 1181.35219 Appl. Math. Comput. 215, No. 5, 1744-1751 (2009). MSC: 35Q51 35Q35 35C08 37K35 35A30 PDFBibTeX XMLCite \textit{D.-X. Meng} et al., Appl. Math. Comput. 215, No. 5, 1744--1751 (2009; Zbl 1181.35219) Full Text: DOI