Liu, Nan; Wen, Xiao-Yong; Wang, Deng-Shan Dynamics of higher-order rational and semi-rational soliton solutions of the coupled modified KdV lattice equation. (English) Zbl 07781384 Math. Methods Appl. Sci. 45, No. 16, 9396-9437 (2022). MSC: 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{N. Liu} et al., Math. Methods Appl. Sci. 45, No. 16, 9396--9437 (2022; Zbl 07781384) Full Text: DOI
Wang, Deng-Shan; Zhu, Xiaodong Long-time asymptotics of the good Boussinesq equation with \(q_{xx}\)-term and its modified version. (English) Zbl 1509.37102 J. Math. Phys. 63, No. 12, Article ID 123501, 28 p. (2022). MSC: 37K40 35Q51 35Q15 PDFBibTeX XMLCite \textit{D.-S. Wang} and \textit{X. Zhu}, J. Math. Phys. 63, No. 12, Article ID 123501, 28 p. (2022; Zbl 1509.37102) Full Text: DOI
Wang, Deng-Shan; Wen, Xiao-Yong The Riemann-Hilbert approach to the generalized second-order flow of three-wave hierarchy. (English) Zbl 1497.35415 Appl. Anal. 101, No. 16, 5743-5759 (2022). MSC: 35Q51 35Q15 35C08 35P10 37K40 37K35 45D05 PDFBibTeX XMLCite \textit{D.-S. Wang} and \textit{X.-Y. Wen}, Appl. Anal. 101, No. 16, 5743--5759 (2022; Zbl 1497.35415) Full Text: DOI
Liu, Yaqing; Ren, Bo; Wang, Deng-Shan Localised nonlinear wave interaction in the generalised Kadomtsev-Petviashvili equation. (English) Zbl 1484.37081 East Asian J. Appl. Math. 11, No. 2, 301-325 (2021). MSC: 37K40 37K10 35Q51 35C08 PDFBibTeX XMLCite \textit{Y. Liu} et al., East Asian J. Appl. Math. 11, No. 2, 301--325 (2021; Zbl 1484.37081) Full Text: DOI
Wu, Juanjuan; Liu, Yaqing; Piao, Linhua; Zhuang, Jianhong; Wang, Deng-Shan Nonlinear localized waves resonance and interaction solutions of the \((3 + 1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation. (English) Zbl 1459.35084 Nonlinear Dyn. 100, No. 2, 1527-1541 (2020). MSC: 35C08 37K40 PDFBibTeX XMLCite \textit{J. Wu} et al., Nonlinear Dyn. 100, No. 2, 1527--1541 (2020; Zbl 1459.35084) Full Text: DOI
Wang, Deng-Shan; Li, Qian; Wen, Xiao-Yong; Liu, Ling Matrix spectral problems and integrability aspects of the Błaszak-Marciniak lattice equations. (English) Zbl 1527.37082 Rep. Math. Phys. 86, No. 3, 325-353 (2020). MSC: 37K60 37K30 39A12 39A14 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., Rep. Math. Phys. 86, No. 3, 325--353 (2020; Zbl 1527.37082) Full Text: DOI
Xu, Ling; Wang, Deng-Shan; Wen, Xiao-Yong; Jiang, Yao-Lin Exotic localized vector waves in a two-component nonlinear wave system. (English) Zbl 1440.37068 J. Nonlinear Sci. 30, No. 2, 537-564 (2020). MSC: 37K45 37K35 37K10 37K15 37K40 35C07 PDFBibTeX XMLCite \textit{L. Xu} et al., J. Nonlinear Sci. 30, No. 2, 537--564 (2020; Zbl 1440.37068) Full Text: DOI
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1435.35365 J. Geom. Phys. 149, Article ID 103569, 19 p. (2020). MSC: 35Q55 37K10 35B15 35Q15 35C08 37K40 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Geom. Phys. 149, Article ID 103569, 19 p. (2020; Zbl 1435.35365) Full Text: DOI
Tang, Na; Yang, Xueying; Feng, Wenxing; Song, Lin; Li, Xiaolin; Xi, Zhonghong; Wang, Deng-Shan; Shi, Yuren Dynamical stability of gap solitons in quasi-1D Bose-Einstein condensate loaded in a Jacobian elliptic sine potential. (English) Zbl 07568472 Physica A 528, Article ID 121344, 13 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{N. Tang} et al., Physica A 528, Article ID 121344, 13 p. (2019; Zbl 07568472) Full Text: DOI
Liu, Yaqing; Wen, Xiao-Yong; Wang, Deng-Shan Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation. (English) Zbl 1442.35391 Comput. Math. Appl. 78, No. 1, 1-19 (2019). MSC: 35Q53 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 78, No. 1, 1--19 (2019; Zbl 1442.35391) Full Text: DOI
Liu, Yaqing; Wen, Xiao-Yong; Wang, Deng-Shan The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation. (English) Zbl 1442.35390 Comput. Math. Appl. 77, No. 4, 947-966 (2019). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Math. Appl. 77, No. 4, 947--966 (2019; Zbl 1442.35390) Full Text: DOI
Wang, Hao-Tian; Wen, Xiao-Yong; Wang, Deng-Shan Modulational instability, interactions of localized wave structures and dynamics in the modified self-steepening nonlinear Schrödinger equation. (English) Zbl 1524.35605 Wave Motion 91, Article ID 102396, 20 p. (2019). MSC: 35Q55 35A30 37K10 PDFBibTeX XMLCite \textit{H.-T. Wang} et al., Wave Motion 91, Article ID 102396, 20 p. (2019; Zbl 1524.35605) Full Text: DOI
Liu, Ling; Wen, Xiao-Yong; Wang, Deng-Shan A new lattice hierarchy: Hamiltonian structures, symplectic map and \(N\)-fold Darboux transformation. (English) Zbl 1481.37075 Appl. Math. Modelling 67, 201-218 (2019). MSC: 37K10 PDFBibTeX XMLCite \textit{L. Liu} et al., Appl. Math. Modelling 67, 201--218 (2019; Zbl 1481.37075) Full Text: DOI
Kong, Liang-Qian; Wang, Lei; Wang, Deng-Shan; Dai, Chao-Qing; Wen, Xiao-Yong; Xu, Ling Evolution of initial discontinuity for the defocusing complex modified KdV equation. (English) Zbl 1430.37085 Nonlinear Dyn. 98, No. 1, 691-702 (2019). MSC: 37K40 37K10 76L05 PDFBibTeX XMLCite \textit{L.-Q. Kong} et al., Nonlinear Dyn. 98, No. 1, 691--702 (2019; Zbl 1430.37085) Full Text: DOI
Wang, Deng-Shan; Guo, Boling; Wang, Xiaoli Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions. (English) Zbl 1483.35146 J. Differ. Equations 266, No. 9, 5209-5253 (2019). Reviewer: Ilya Spitkovsky (Williamsburg) MSC: 35Q15 37K40 37K15 35B40 65H10 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., J. Differ. Equations 266, No. 9, 5209--5253 (2019; Zbl 1483.35146) Full Text: DOI
Shi, Yu-Ren; Yang, Xue-Ying; Tang, Na; Wang, Deng-Shan Effects of Zeeman field on the dynamical instability of flat states for spin-2 Bose-Einstein condensates in an optical lattice. (English) Zbl 1514.82121 Physica A 509, 39-55 (2018). MSC: 82C10 PDFBibTeX XMLCite \textit{Y.-R. Shi} et al., Physica A 509, 39--55 (2018; Zbl 1514.82121) Full Text: DOI
Li, Qian; Wang, Deng-Shan; Wen, Xiao-Yong; Zhuang, Jian-Hong An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws. (English) Zbl 1390.37112 Nonlinear Dyn. 91, No. 1, 625-639 (2018). MSC: 37K10 PDFBibTeX XMLCite \textit{Q. Li} et al., Nonlinear Dyn. 91, No. 1, 625--639 (2018; Zbl 1390.37112) Full Text: DOI
Yu, Jianping; Wang, Deng-Shan; Sun, Yongli; Wu, Suping Modified method of simplest equation for obtaining exact solutions of the Zakharov-Kuznetsov equation, the modified Zakharov-Kuznetsov equation, and their generalized forms. (English) Zbl 1349.35053 Nonlinear Dyn. 85, No. 4, 2449-2465 (2016). MSC: 35C07 35A24 PDFBibTeX XMLCite \textit{J. Yu} et al., Nonlinear Dyn. 85, No. 4, 2449--2465 (2016; Zbl 1349.35053) Full Text: DOI
Wang, Deng-Shan; Wei, Xiangqing Integrability and exact solutions of a two-component Korteweg-de Vries system. (English) Zbl 1329.37069 Appl. Math. Lett. 51, 60-67 (2016). MSC: 37K10 35Q53 37K35 PDFBibTeX XMLCite \textit{D.-S. Wang} and \textit{X. Wei}, Appl. Math. Lett. 51, 60--67 (2016; Zbl 1329.37069) Full Text: DOI
Wang, Deng-Shan; Yin, Shujuan; Tian, Ye; Liu, Yifang Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects. (English) Zbl 1364.35343 Appl. Math. Comput. 229, 296-309 (2014). MSC: 35Q55 35C08 37K40 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., Appl. Math. Comput. 229, 296--309 (2014; Zbl 1364.35343) Full Text: DOI
Wen, Xiao-Yong; Wang, Deng-Shan; Meng, Xiang-Hua \(N\)-soliton solutions and inelastic interaction for a discretized second-order in time nonlinear Schrödinger equation. (English) Zbl 1396.37076 Rep. Math. Phys. 72, No. 3, 349-367 (2013). MSC: 37K40 35C08 35Q55 39A12 PDFBibTeX XMLCite \textit{X.-Y. Wen} et al., Rep. Math. Phys. 72, No. 3, 349--367 (2013; Zbl 1396.37076) Full Text: DOI
Liu, Yifang; Wang, Deng-Shan Symmetry analysis of the option pricing model with dividend yield from financial markets. (English) Zbl 1203.91297 Appl. Math. Lett. 24, No. 4, 481-486 (2011). MSC: 91G20 91G80 35Q91 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{D.-S. Wang}, Appl. Math. Lett. 24, No. 4, 481--486 (2011; Zbl 1203.91297) Full Text: DOI
Wang, Deng-Shan; Zhang, Da-Jun; Yang, Jianke Integrable properties of the general coupled nonlinear Schrödinger equations. (English) Zbl 1309.35145 J. Math. Phys. 51, No. 2, 023510, 17 p. (2010). MSC: 35Q55 35C08 35Q15 81U05 37K10 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., J. Math. Phys. 51, No. 2, 023510, 17 p. (2010; Zbl 1309.35145) Full Text: DOI Link
Wang, Deng-Shan A class of special exact solutions of some high dimensional non-linear wave equations. (English) Zbl 1209.35074 Int. J. Mod. Phys. B 24, No. 23, 4563-4579 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 35L05 35L10 35Q51 37K10 PDFBibTeX XMLCite \textit{D.-S. Wang}, Int. J. Mod. Phys. B 24, No. 23, 4563--4579 (2010; Zbl 1209.35074) Full Text: DOI
Wang, Deng-Shan Integrability of the coupled KdV equations derived from two-layer fluids: prolongation structures and Miura transformations. (English) Zbl 1201.37099 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 270-281 (2010). Reviewer: Alina Stancu (Lowell) MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{D.-S. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 1, 270--281 (2010; Zbl 1201.37099) Full Text: DOI
Wang, Deng-Shan A systematic method to construct Hirota’s transformations of continuous soliton equations and its applications. (English) Zbl 1189.35295 Comput. Math. Appl. 58, No. 1, 146-153 (2009). MSC: 35Q53 35Q51 PDFBibTeX XMLCite \textit{D.-S. Wang}, Comput. Math. Appl. 58, No. 1, 146--153 (2009; Zbl 1189.35295) Full Text: DOI
Wang, Deng-Shan; Yan, Zhenya; Li, Hongbo Some special types of solutions of a class of the \((N+1)\)-dimensional nonlinear wave equations. (English) Zbl 1155.35444 Comput. Math. Appl. 56, No. 6, 1569-1579 (2008). MSC: 35Q53 35L70 35C05 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., Comput. Math. Appl. 56, No. 6, 1569--1579 (2008; Zbl 1155.35444) Full Text: DOI
Wang, Deng-Shan; Li, Hongbo Symbolic computation and non-travelling wave solutions of \((2 + 1)\)-dimensional nonlinear evolution equations. (English) Zbl 1146.35407 Chaos Solitons Fractals 38, No. 2, 383-390 (2008). MSC: 35Q53 35Q51 68W30 PDFBibTeX XMLCite \textit{D.-S. Wang} and \textit{H. Li}, Chaos Solitons Fractals 38, No. 2, 383--390 (2008; Zbl 1146.35407) Full Text: DOI
Wang, Deng-Shan; Li, Hongbo Single and multi-solitary wave solutions to a class of nonlinear evolution equations. (English) Zbl 1139.35036 J. Math. Anal. Appl. 343, No. 1, 273-298 (2008). MSC: 35G25 35A25 PDFBibTeX XMLCite \textit{D.-S. Wang} and \textit{H. Li}, J. Math. Anal. Appl. 343, No. 1, 273--298 (2008; Zbl 1139.35036) Full Text: DOI
Wang, Dengshan; Zhang, Hong-Qing Auto-Bäcklund transformation and new exact solutions of the \((2 + 1)\)-dimensional Nizhnik-Novikov-Veselov equation. (English) Zbl 1078.35107 Int. J. Mod. Phys. C 16, No. 3, 393-412 (2005). MSC: 35Q53 37K35 35Q51 35A30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{H.-Q. Zhang}, Int. J. Mod. Phys. C 16, No. 3, 393--412 (2005; Zbl 1078.35107) Full Text: DOI