Yang, Bo; Yang, Jianke Pattern transformation in higher-order lumps of the Kadomtsev-Petviashvili I equation. (English) Zbl 1498.35058 J. Nonlinear Sci. 32, No. 4, Paper No. 52, 45 p. (2022). MSC: 35B36 35C05 35Q51 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. Yang}, J. Nonlinear Sci. 32, No. 4, Paper No. 52, 45 p. (2022; Zbl 1498.35058) Full Text: DOI arXiv
Yang, Bo; Yang, Jianke Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. (English) Zbl 1491.37062 Physica D 425, Article ID 132958, 24 p. (2021). MSC: 37K40 37K10 35B40 35C05 35Q51 35Q55 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. Yang}, Physica D 425, Article ID 132958, 24 p. (2021; Zbl 1491.37062) Full Text: DOI arXiv
Yang, Jianke; Nixon, Sean Stability of soliton families in nonlinear Schrödinger equations with non-parity-time-symmetric complex potentials. (English) Zbl 1366.35175 Phys. Lett., A 380, No. 45, 3803-3809 (2016). MSC: 35Q55 35C08 35Q51 PDFBibTeX XMLCite \textit{J. Yang} and \textit{S. Nixon}, Phys. Lett., A 380, No. 45, 3803--3809 (2016; Zbl 1366.35175) Full Text: DOI arXiv
Nixon, Sean; Yang, Jianke Nonlinear wave dynamics near phase transition in \(\mathcal{PT}\)-symmetric localized potentials. (English) Zbl 1364.35338 Physica D 331, 48-57 (2016). MSC: 35Q55 35B06 35C08 PDFBibTeX XMLCite \textit{S. Nixon} and \textit{J. Yang}, Physica D 331, 48--57 (2016; Zbl 1364.35338) Full Text: DOI arXiv
Nixon, Sean D.; Yang, Jianke Bifurcation of soliton families from linear modes in non-\(\mathcal{PT}\)-symmetric complex potentials. (English) Zbl 1342.35351 Stud. Appl. Math. 136, No. 4, 459-483 (2016). MSC: 35Q55 35Q51 35C08 35B32 PDFBibTeX XMLCite \textit{S. D. Nixon} and \textit{J. Yang}, Stud. Appl. Math. 136, No. 4, 459--483 (2016; Zbl 1342.35351) Full Text: DOI arXiv
Yang, Jianke A normal form for Hamiltonian-Hopf bifurcations in nonlinear Schrödinger equations with general external potentials. (English) Zbl 1342.35360 SIAM J. Appl. Math. 76, No. 2, 598-617 (2016). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35Q60 35C08 35B32 35B10 35B35 PDFBibTeX XMLCite \textit{J. Yang}, SIAM J. Appl. Math. 76, No. 2, 598--617 (2016; Zbl 1342.35360) Full Text: DOI arXiv
Nixon, Sean D.; Yang, Jianke Exponential asymptotics for solitons in \(\mathcal{PT}\)-symmetric periodic potentials. (English) Zbl 1321.35189 Stud. Appl. Math. 133, No. 4, 373-397 (2014). Reviewer: Xue Bo (Zhengzhou) MSC: 35Q51 35Q55 35B40 PDFBibTeX XMLCite \textit{S. D. Nixon} and \textit{J. Yang}, Stud. Appl. Math. 133, No. 4, 373--397 (2014; Zbl 1321.35189) Full Text: DOI arXiv
Yang, Jianke Can parity-time-symmetric potentials support families of non-parity-time-symmetric solitons? (English) Zbl 1298.35208 Stud. Appl. Math. 132, No. 4, 332-353 (2014). Reviewer: Chengbo Wang (Hangzhou) MSC: 35Q55 35C08 35Q51 PDFBibTeX XMLCite \textit{J. Yang}, Stud. Appl. Math. 132, No. 4, 332--353 (2014; Zbl 1298.35208) Full Text: DOI arXiv
Nixon, Sean D.; Akylas, T. R.; Yang, Jianke Exponential asymptotics for line solitons in two-dimensional periodic potentials. (English) Zbl 1339.35085 Stud. Appl. Math. 131, No. 2, 149-178 (2013). MSC: 35C08 35B32 35Q55 81Q05 35B40 PDFBibTeX XMLCite \textit{S. D. Nixon} et al., Stud. Appl. Math. 131, No. 2, 149--178 (2013; Zbl 1339.35085) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Yang, Jianke On transverse stability of discrete line solitons. (English) Zbl 1287.35083 Physica D 255, 1-11 (2013). MSC: 35Q55 35Q51 35C08 35B35 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{J. Yang}, Physica D 255, 1--11 (2013; Zbl 1287.35083) Full Text: DOI arXiv
Yang, Jianke Stability analysis for pitchfork bifurcations of solitary waves in generalized nonlinear Schrödinger equations. (English) Zbl 1282.35362 Physica D 244, No. 1, 50-67 (2013). MSC: 35Q55 35B35 35B32 35C08 PDFBibTeX XMLCite \textit{J. Yang}, Physica D 244, No. 1, 50--67 (2013; Zbl 1282.35362) Full Text: DOI arXiv
Yang, Jianke Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations. (English) Zbl 1250.35163 Stud. Appl. Math. 129, No. 2, 133-162 (2012). MSC: 35Q55 35C08 35B32 PDFBibTeX XMLCite \textit{J. Yang}, Stud. Appl. Math. 129, No. 2, 133--162 (2012; Zbl 1250.35163) Full Text: DOI arXiv
Akylas, T. R.; Hwang, Guenbo; Yang, Jianke From non-local gap solitary waves to bound states in periodic media. (English) Zbl 1243.82057 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116-135 (2012). MSC: 82D30 35C08 35Q55 74J35 PDFBibTeX XMLCite \textit{T. R. Akylas} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 468, No. 2137, 116--135 (2012; Zbl 1243.82057) Full Text: DOI arXiv Link
Hwang, G.; Akylas, T. R.; Yang, J. Solitary waves and their linear stability in nonlinear lattices. (English) Zbl 1251.35149 Stud. Appl. Math. 128, No. 3, 275-298 (2012). MSC: 35Q55 35C08 81T25 PDFBibTeX XMLCite \textit{G. Hwang} et al., Stud. Appl. Math. 128, No. 3, 275--298 (2012; Zbl 1251.35149) Full Text: DOI arXiv
Yang, Jianke Newton-conjugate-gradient methods for solitary wave computations. (English) Zbl 1175.65123 J. Comput. Phys. 228, No. 18, 7007-7024 (2009). MSC: 65M70 35Q53 35Q51 35Q55 35Q35 PDFBibTeX XMLCite \textit{J. Yang}, J. Comput. Phys. 228, No. 18, 7007--7024 (2009; Zbl 1175.65123) Full Text: DOI
Yang, Jianke; Lakoba, Taras I. Accelerated imaginary-time evolution methods for the computation of solitary waves. (English) Zbl 1191.35227 Stud. Appl. Math. 120, No. 3, 265-292 (2008). MSC: 35Q51 35J10 35P05 65N22 65Z05 65N12 PDFBibTeX XMLCite \textit{J. Yang} and \textit{T. I. Lakoba}, Stud. Appl. Math. 120, No. 3, 265--292 (2008; Zbl 1191.35227) Full Text: DOI arXiv
Lakoba, T. I.; Yang, J. A mode elimination technique to improve convergence of iteration methods for finding solitary waves. (English) Zbl 1127.65079 J. Comput. Phys. 226, No. 2, 1693-1709 (2007). MSC: 65N06 35J65 PDFBibTeX XMLCite \textit{T. I. Lakoba} and \textit{J. Yang}, J. Comput. Phys. 226, No. 2, 1693--1709 (2007; Zbl 1127.65079) Full Text: DOI arXiv
Lakoba, T. I.; Yang, J. A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity. (English) Zbl 1126.35052 J. Comput. Phys. 226, No. 2, 1668-1692 (2007). MSC: 35Q51 37L65 65N99 78A40 PDFBibTeX XMLCite \textit{T. I. Lakoba} and \textit{J. Yang}, J. Comput. Phys. 226, No. 2, 1668--1692 (2007; Zbl 1126.35052) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Yang, Jianke Instabilities of multihump vector solitons in coupled nonlinear Schrödinger equations. (English) Zbl 1145.35461 Stud. Appl. Math. 115, No. 1, 109-137 (2005). MSC: 35Q55 35Q51 37K40 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{J. Yang}, Stud. Appl. Math. 115, No. 1, 109--137 (2005; Zbl 1145.35461) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Yang, Jianke Stability analysis of embedded solitons in the generalized third-order nonlinear Schrödinger equation. (English) Zbl 1144.37398 Chaos 15, No. 3, 037115, 11 p. (2005). MSC: 37D45 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{J. Yang}, Chaos 15, No. 3, 037115, 11 p. (2005; Zbl 1144.37398) Full Text: DOI Link
Tan, Yu; Yang, Jianke; Pelinovsky, Dmitry E. Semi-stability of embedded solitons in the general fifth-order KdV equation. (English) Zbl 1163.74446 Wave Motion 36, No. 3, 241-255 (2002). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{Y. Tan} et al., Wave Motion 36, No. 3, 241--255 (2002; Zbl 1163.74446) Full Text: DOI arXiv
Yang, Jianke Complete eigenfunctions of linearized integrable equations expanded around a soliton solution. (English) Zbl 0992.37065 J. Math. Phys. 41, No. 9, 6614-6638 (2000). Reviewer: Boris A.Malomed (Tel Aviv) MSC: 37K40 35Q55 37K10 35Q53 PDFBibTeX XMLCite \textit{J. Yang}, J. Math. Phys. 41, No. 9, 6614--6638 (2000; Zbl 0992.37065) Full Text: DOI