Chen, Yong; Yan, Zhenya; Malomed, Boris A. Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations. (English) Zbl 1490.35401 Physica D 430, Article ID 133099, 14 p. (2022). MSC: 35Q55 35Q60 35C08 35B35 78A60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Physica D 430, Article ID 133099, 14 p. (2022; Zbl 1490.35401) Full Text: DOI arXiv
Chen, Yong; Yan, Zhenya Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions. (English) Zbl 1510.82006 Commun. Nonlinear Sci. Numer. Simul. 57, 34-46 (2018). MSC: 82B10 35C08 35Q55 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Commun. Nonlinear Sci. Numer. Simul. 57, 34--46 (2018; Zbl 1510.82006) Full Text: DOI
Chen, Yong; Yan, Zhenya; Li, Xin One- and two-dimensional gap solitons and dynamics in the \(\mathcal{PT}\)-symmetric lattice potential and spatially-periodic momentum modulation. (English) Zbl 1510.35293 Commun. Nonlinear Sci. Numer. Simul. 55, 287-297 (2018). MSC: 35Q55 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 55, 287--297 (2018; Zbl 1510.35293) Full Text: DOI
Yan, Zhenya; Chen, Yong The nonlinear Schrödinger equation with generalized nonlinearities and \(\mathcal{P} \mathcal{T}\)-symmetric potentials: stable solitons, interactions, and excitations. (English) Zbl 1390.35344 Chaos 27, No. 7, 073114, 14 p. (2017). MSC: 35Q55 37K40 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{Y. Chen}, Chaos 27, No. 7, 073114, 14 p. (2017; Zbl 1390.35344) Full Text: DOI
Chen, Yong; Yan, Zhenya Stable solitons in the 1D and 2D generalized nonlinear Schrödinger equations with the periodic effective mass and \(\mathcal{PT}\)-symmetric potentials. (English) Zbl 1375.35479 Ann. Phys. 386, 44-57 (2017). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Ann. Phys. 386, 44--57 (2017; Zbl 1375.35479) Full Text: DOI
Zhang, Guoqiang; Yan, Zhenya; Chen, Yong Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants. (English) Zbl 1375.35511 Appl. Math. Lett. 69, 113-120 (2017). MSC: 35Q55 35C08 35B35 37K35 PDFBibTeX XMLCite \textit{G. Zhang} et al., Appl. Math. Lett. 69, 113--120 (2017; Zbl 1375.35511) Full Text: DOI
Chen, Yong; Yan, Zhenya Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation. arXiv:1704.02560 Preprint, arXiv:1704.02560 [nlin.PS] (2017). BibTeX Cite \textit{Y. Chen} and \textit{Z. Yan}, ``Stable parity-time-symmetric nonlinear modes and excitations in a derivative nonlinear Schrodinger equation'', Preprint, arXiv:1704.02560 [nlin.PS] (2017) Full Text: DOI arXiv OA License
Chen, Yong; Yan, Zhenya Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials. arXiv:1704.02551 Preprint, arXiv:1704.02551 [nlin.PS] (2017). BibTeX Cite \textit{Y. Chen} and \textit{Z. Yan}, ``Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials'', Preprint, arXiv:1704.02551 [nlin.PS] (2017) Full Text: arXiv OA License
Chen, Yong; Yan, Zhenya; Mihalache, Dumitru; Malomed, Boris A. Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses. arXiv:1703.10466 Preprint, arXiv:1703.10466 [nlin.PS] (2017). BibTeX Cite \textit{Y. Chen} et al., ``Families of stable solitons and excitations in the PT-symmetric nonlinear Schrodinger equations with position-dependent effective masses'', Preprint, arXiv:1703.10466 [nlin.PS] (2017) Full Text: arXiv OA License
Yan, Zhenya; Chen, Yong; Wen, Zichao On stable solitons and interactions of the generalized Gross-Pitaevskii equation with \(\mathcal{P} \mathcal{T}\)- and non-\(\mathcal{P} \mathcal{T}\)-symmetric potentials. (English) Zbl 1378.35286 Chaos 26, No. 8, 083109, 20 p. (2016). MSC: 35Q55 35C08 35B35 PDFBibTeX XMLCite \textit{Z. Yan} et al., Chaos 26, No. 8, 083109, 20 p. (2016; Zbl 1378.35286) Full Text: DOI arXiv
Chen, Yong; Yan, Zhen-Ya Chaos control in a new three-dimensional chaotic T system. (English) Zbl 1392.93011 Commun. Theor. Phys. 49, No. 4, 951-954 (2008). MSC: 93B52 34C28 34H10 34D05 34C60 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z.-Y. Yan}, Commun. Theor. Phys. 49, No. 4, 951--954 (2008; Zbl 1392.93011) Full Text: DOI
Chen, Yong; Yan, Zhenya The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations. (English) Zbl 1142.35603 Chaos Solitons Fractals 29, No. 4, 948-964 (2006). MSC: 35Q55 33E05 35C05 35Q53 37K10 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Chaos Solitons Fractals 29, No. 4, 948--964 (2006; Zbl 1142.35603) Full Text: DOI
Chen, Yong; Yan, Zhenya Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system. (English) Zbl 1094.65104 Appl. Math. Comput. 177, No. 1, 85-91 (2006). MSC: 65M70 35Q53 35Q51 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Appl. Math. Comput. 177, No. 1, 85--91 (2006; Zbl 1094.65104) Full Text: DOI
Chen, Yong; Yan, Zhenya New exact solutions of \((2+1)\)-dimensional Gardner equation via the new sine-Gordon equation expansion method. (English) Zbl 1070.35058 Chaos Solitons Fractals 26, No. 2, 399-406 (2005). MSC: 35Q53 35-04 35C05 37K40 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Chaos Solitons Fractals 26, No. 2, 399--406 (2005; Zbl 1070.35058) Full Text: DOI
Chen, Yong; Yan, Zhenya New Weierstrass elliptic function solutions of the \(N\)-coupled nonlinear Klein-Gordon equations. (English) Zbl 1070.35049 Chaos Solitons Fractals 26, No. 2, 393-398 (2005). MSC: 35Q40 37K20 35-04 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Yan}, Chaos Solitons Fractals 26, No. 2, 393--398 (2005; Zbl 1070.35049) Full Text: DOI
Chen, Yong; Yan, Zhenya; Zhang, Hongqing Applications of fractional exterior differential in three-dimensional space. (English) Zbl 1039.58003 Appl. Math. Mech., Engl. Ed. 24, No. 3, 256-260 (2003). MSC: 58A10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Mech., Engl. Ed. 24, No. 3, 256--260 (2003; Zbl 1039.58003) Full Text: DOI
Chen, Yong; Yan, Zhenya; Zhang, Honging New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation. (English) Zbl 1006.35083 Phys. Lett., A 307, No. 2-3, 107-113 (2003). MSC: 35Q53 74J35 PDFBibTeX XMLCite \textit{Y. Chen} et al., Phys. Lett., A 307, No. 2--3, 107--113 (2003; Zbl 1006.35083) Full Text: DOI
Chen, Yong; Yan, Zhen-Ya; Li, Biao; Zhang, Hong-Qing New explicit solitary wave solutions and periodic wave solutions for the generalized coupled Hirota-Satsuma KdV system. (English) Zbl 1267.76015 Commun. Theor. Phys. 38, No. 3, 261-266 (2002). MSC: 76B25 37K10 35C08 35B10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Theor. Phys. 38, No. 3, 261--266 (2002; Zbl 1267.76015) Full Text: DOI Link
Chen, Yong; Yan, Zhenya; Zhang, Hongqing Exact solutions for a family of variable-coefficient “reaction–Duffing” equations via the Bäcklund transformation. (English. Russian original) Zbl 1129.35432 Theor. Math. Phys. 132, No. 1, 970-975 (2002); translation from Teor. Mat. Fiz. 132, No. 1, 90-96 (2002). MSC: 35K57 35A22 35A30 35C05 58J72 PDFBibTeX XMLCite \textit{Y. Chen} et al., Theor. Math. Phys. 132, No. 1, 970--975 (2002; Zbl 1129.35432); translation from Teor. Mat. Fiz. 132, No. 1, 90--96 (2002) Full Text: DOI