Liu, Xiaoyan; Luan, Zitong; Zhou, Qin; Liu, Wenjun; Biswas, Anjan Dark two-soliton solutions for nonlinear Schrödinger equations in inhomogeneous optical fibers. (English) Zbl 07824995 Chin. J. Phys., Taipei 61, 310-315 (2019). MSC: 35Qxx 37Kxx 35Cxx PDFBibTeX XMLCite \textit{X. Liu} et al., Chin. J. Phys., Taipei 61, 310--315 (2019; Zbl 07824995) Full Text: DOI
Rogers, Colin Reciprocal gausson phenomena in a Korteweg capillarity system. (English) Zbl 07785901 Meccanica 54, No. 10, 1515-1523 (2019). MSC: 35Q35 35Q53 35Q55 76B45 76D45 PDFBibTeX XMLCite \textit{C. Rogers}, Meccanica 54, No. 10, 1515--1523 (2019; Zbl 07785901) Full Text: DOI
Chen, Su-Su; Tian, Bo; Sun, Yan; Zhang, Chen-Rong Generalized Darboux transformations, rogue waves, and modulation instability for the coherently coupled nonlinear Schrödinger equations in nonlinear optics. (English) Zbl 07761446 Ann. Phys., Berlin 531, No. 8, Article ID 1900011, 8 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{S.-S. Chen} et al., Ann. Phys., Berlin 531, No. 8, Article ID 1900011, 8 p. (2019; Zbl 07761446) Full Text: DOI
Du, Xia-Xia; Tian, Bo; Yuan, Yu-Qiang; Du, Zhong Symmetry reductions, group-invariant solutions, and conservation laws of a \((2+1)\)-dimensional nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain. (English) Zbl 07761386 Ann. Phys., Berlin 531, No. 11, Article ID 1900198, 11 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{X.-X. Du} et al., Ann. Phys., Berlin 531, No. 11, Article ID 1900198, 11 p. (2019; Zbl 07761386) Full Text: DOI
Huang, Changming; Li, Chunyan; Deng, Hanying; Dong, Liangwei Gap solitons in fractional dimensions with a quasi-periodic lattice. (English) Zbl 07760929 Ann. Phys., Berlin 531, No. 9, Article ID 1900056, 6 p. (2019). MSC: 81-XX PDFBibTeX XMLCite \textit{C. Huang} et al., Ann. Phys., Berlin 531, No. 9, Article ID 1900056, 6 p. (2019; Zbl 07760929) Full Text: DOI
Chawla, Rohit; Bhattacharjee, Jayanta K. Quantum dynamics from fixed points and their stability. (English) Zbl 1516.81073 Eur. Phys. J. B, Condens. Matter Complex Syst. 92, No. 9, Paper No. 196, 12 p. (2019). MSC: 81Q05 34L40 PDFBibTeX XMLCite \textit{R. Chawla} and \textit{J. K. Bhattacharjee}, Eur. Phys. J. B, Condens. Matter Complex Syst. 92, No. 9, Paper No. 196, 12 p. (2019; Zbl 1516.81073) Full Text: DOI arXiv
Wilson, Joshua P. Generalized finite-difference time-domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU. (English) Zbl 07682906 Comput. Phys. Commun. 235, 279-292 (2019). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. P. Wilson}, Comput. Phys. Commun. 235, 279--292 (2019; Zbl 07682906) Full Text: DOI
Auzinger, Winfried; Březinová, Iva; Hofstätter, Harald; Koch, Othmar; Quell, Michael Practical splitting methods for the adaptive integration of nonlinear evolution equations. II: Comparisons of local error estimation and step-selection strategies for nonlinear Schrödinger and wave equations. (English) Zbl 07682592 Comput. Phys. Commun. 234, 55-71 (2019). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{W. Auzinger} et al., Comput. Phys. Commun. 234, 55--71 (2019; Zbl 07682592) Full Text: DOI
Konstantinou-Rizos, S.; Papamikos, G. Entwining Yang-Baxter maps related to NLS type equations. (English) Zbl 1509.16033 J. Phys. A, Math. Theor. 52, No. 48, Article ID 485201, 16 p. (2019). MSC: 16T25 14E05 37K10 35Q55 37K35 PDFBibTeX XMLCite \textit{S. Konstantinou-Rizos} and \textit{G. Papamikos}, J. Phys. A, Math. Theor. 52, No. 48, Article ID 485201, 16 p. (2019; Zbl 1509.16033) Full Text: DOI arXiv
Biasi, Anxo; Bizoń, Piotr; Evnin, Oleg Complex plane representations and stationary states in cubic and quintic resonant systems. (English) Zbl 1509.35256 J. Phys. A, Math. Theor. 52, No. 43, Article ID 435201, 22 p. (2019). MSC: 35Q40 35J10 81V73 81T35 PDFBibTeX XMLCite \textit{A. Biasi} et al., J. Phys. A, Math. Theor. 52, No. 43, Article ID 435201, 22 p. (2019; Zbl 1509.35256) Full Text: DOI arXiv
Kanna, T.; Sheela, A. Annamalar; Mareeswaran, R. Babu Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems. (English) Zbl 1504.76111 J. Phys. A, Math. Theor. 52, No. 37, Article ID 375201, 21 p. (2019). MSC: 76Y05 35Q55 35Q82 PDFBibTeX XMLCite \textit{T. Kanna} et al., J. Phys. A, Math. Theor. 52, No. 37, Article ID 375201, 21 p. (2019; Zbl 1504.76111) Full Text: DOI arXiv
Yang, Libo; An, Tianqing; Zuo, Jiabin Infinitely many high energy solutions for fractional Schrödinger equations with magnetic field. (English) Zbl 1513.35538 Bound. Value Probl. 2019, Paper No. 196, 11 p. (2019). MSC: 35R11 35A15 35J60 47G20 PDFBibTeX XMLCite \textit{L. Yang} et al., Bound. Value Probl. 2019, Paper No. 196, 11 p. (2019; Zbl 1513.35538) Full Text: DOI
Wang, Yongbin; Feng, Binhua Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities. (English) Zbl 1513.35483 Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019). MSC: 35Q55 35A15 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Feng}, Bound. Value Probl. 2019, Paper No. 195, 17 p. (2019; Zbl 1513.35483) Full Text: DOI
Yang, Jing Positive bound state solutions for the nonlinear Schrödinger-Poisson systems with potentials. (English) Zbl 1513.35149 Bound. Value Probl. 2019, Paper No. 193, 19 p. (2019). MSC: 35J10 35J60 PDFBibTeX XMLCite \textit{J. Yang}, Bound. Value Probl. 2019, Paper No. 193, 19 p. (2019; Zbl 1513.35149) Full Text: DOI
Chen, Lizhen; Feng, Xiaojing; Hao, Xinan The existence of sign-changing solution for a class of quasilinear Schrödinger-Poisson systems via perturbation method. (English) Zbl 1513.35163 Bound. Value Probl. 2019, Paper No. 159, 19 p. (2019). MSC: 35J20 35J60 PDFBibTeX XMLCite \textit{L. Chen} et al., Bound. Value Probl. 2019, Paper No. 159, 19 p. (2019; Zbl 1513.35163) Full Text: DOI
He, Hongjun; Pang, Zhifeng A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation. (English) Zbl 1524.35257 Bound. Value Probl. 2019, Paper No. 147, 20 p. (2019). MSC: 35J65 35A02 35B35 35J05 PDFBibTeX XMLCite \textit{H. He} and \textit{Z. Pang}, Bound. Value Probl. 2019, Paper No. 147, 20 p. (2019; Zbl 1524.35257) Full Text: DOI
Shi, Hongxia Positive solutions for a class of nonhomogeneous Kirchhoff-Schrödinger-Poisson systems. (English) Zbl 1513.35225 Bound. Value Probl. 2019, Paper No. 139, 16 p. (2019). MSC: 35J50 35J60 PDFBibTeX XMLCite \textit{H. Shi}, Bound. Value Probl. 2019, Paper No. 139, 16 p. (2019; Zbl 1513.35225) Full Text: DOI
He, Hongjun; Pang, Zhifeng Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity. (English) Zbl 1524.35694 Bound. Value Probl. 2019, Paper No. 99, 18 p. (2019). MSC: 35R11 35Q55 35B50 PDFBibTeX XMLCite \textit{H. He} and \textit{Z. Pang}, Bound. Value Probl. 2019, Paper No. 99, 18 p. (2019; Zbl 1524.35694) Full Text: DOI
Meng, Bo Minimal thinness with respect to the Schrödinger operator and its applications on singular Schrödinger-type boundary value problems. (English) Zbl 1524.35594 Bound. Value Probl. 2019, Paper No. 91, 13 p. (2019). MSC: 35Q55 35J62 PDFBibTeX XMLCite \textit{B. Meng}, Bound. Value Probl. 2019, Paper No. 91, 13 p. (2019; Zbl 1524.35594) Full Text: DOI
Yun, Yongzhen; An, Tianqing; Zuo, Jiabin; Zhao, Dafang Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity. (English) Zbl 1513.35269 Bound. Value Probl. 2019, Paper No. 62, 15 p. (2019). MSC: 35J87 35J20 49J40 47G20 PDFBibTeX XMLCite \textit{Y. Yun} et al., Bound. Value Probl. 2019, Paper No. 62, 15 p. (2019; Zbl 1513.35269) Full Text: DOI
Zhang, Xiang; Zhang, Yimin Existence and asymptotic properties of positive solutions for a general quasilinear Schrödinger equation. (English) Zbl 1524.35246 Bound. Value Probl. 2019, Paper No. 55, 11 p. (2019). MSC: 35J60 35B09 35B40 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{Y. Zhang}, Bound. Value Probl. 2019, Paper No. 55, 11 p. (2019; Zbl 1524.35246) Full Text: DOI
Sathiyadevi, K.; Chandrasekar, V. K.; Senthilkumar, D. V.; Lakshmanan, M. Long-range interaction induced collective dynamical behaviors. (English) Zbl 1509.82071 J. Phys. A, Math. Theor. 52, No. 18, Article ID 184001, 15 p. (2019). MSC: 82B44 34C15 34C10 PDFBibTeX XMLCite \textit{K. Sathiyadevi} et al., J. Phys. A, Math. Theor. 52, No. 18, Article ID 184001, 15 p. (2019; Zbl 1509.82071) Full Text: DOI arXiv
Quintero, Niurka R.; Shao, Sihong; Alvarez-Nodarse, Renato; Mertens, Franz G. Externally driven nonlinear Dirac equation revisited: theory and simulations. (English) Zbl 1509.35259 J. Phys. A, Math. Theor. 52, No. 15, Article ID 155401, 17 p. (2019). MSC: 35Q41 81Q05 35Q51 35C08 PDFBibTeX XMLCite \textit{N. R. Quintero} et al., J. Phys. A, Math. Theor. 52, No. 15, Article ID 155401, 17 p. (2019; Zbl 1509.35259) Full Text: DOI
Ablowitz, Mark J.; Musslimani, Ziad H. Integrable nonlocal asymptotic reductions of physically significant nonlinear equations. (English) Zbl 1509.35271 J. Phys. A, Math. Theor. 52, No. 15, Article ID 15LT02, 8 p. (2019). MSC: 35Q55 35Q51 35A30 37K10 PDFBibTeX XMLCite \textit{M. J. Ablowitz} and \textit{Z. H. Musslimani}, J. Phys. A, Math. Theor. 52, No. 15, Article ID 15LT02, 8 p. (2019; Zbl 1509.35271) Full Text: DOI arXiv
Cen, Julia; Fring, Andreas; Frith, Thomas Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems. (English) Zbl 1507.81078 J. Phys. A, Math. Theor. 52, No. 11, Article ID 115302, 20 p. (2019). MSC: 81Q05 35Q55 35B06 37K35 PDFBibTeX XMLCite \textit{J. Cen} et al., J. Phys. A, Math. Theor. 52, No. 11, Article ID 115302, 20 p. (2019; Zbl 1507.81078) Full Text: DOI arXiv
Raza, Nauman; Javid, Ahmad Optical dark and dark-singular soliton solutions of \((1+2)\)-dimensional chiral nonlinear Schrödinger’s equation. (English) Zbl 1505.78031 Waves Random Complex Media 29, No. 3, 496-508 (2019). MSC: 78A60 78A15 35C08 35Q55 PDFBibTeX XMLCite \textit{N. Raza} and \textit{A. Javid}, Waves Random Complex Media 29, No. 3, 496--508 (2019; Zbl 1505.78031) Full Text: DOI
Inc, Mustafa; Aliyu, Aliyu Isa; Yusuf, Abdullahi; Baleanu, Dumitru Dark-bright optical solitary waves and modulation instability analysis with \((2 + 1)\)-dimensional cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1505.78028 Waves Random Complex Media 29, No. 3, 393-402 (2019). MSC: 78A60 35C08 35Q55 PDFBibTeX XMLCite \textit{M. Inc} et al., Waves Random Complex Media 29, No. 3, 393--402 (2019; Zbl 1505.78028) Full Text: DOI
Seadawy, Aly R.; Lu, Dianchen; Nasreen, Naila; Nasreen, Shamila Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis. (English) Zbl 07570671 Physica A 534, Article ID 122155, 12 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{A. R. Seadawy} et al., Physica A 534, Article ID 122155, 12 p. (2019; Zbl 07570671) Full Text: DOI
Seadawy, Aly R.; Cheemaa, Nadia Propagation of nonlinear complex waves for the coupled nonlinear Schrödinger equations in two core optical fibers. (English) Zbl 07568570 Physica A 529, Article ID 121330, 10 p. (2019). MSC: 82-XX PDFBibTeX XMLCite \textit{A. R. Seadawy} and \textit{N. Cheemaa}, Physica A 529, Article ID 121330, 10 p. (2019; Zbl 07568570) Full Text: DOI
Khatiashvili, Nino; Khatiashvili, Nata On the quantum properties of 3D carbon nanostructures. (English) Zbl 1524.82070 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 33, 39-42 (2019). MSC: 82D80 35Q55 82B10 81V45 81Q05 PDFBibTeX XMLCite \textit{N. Khatiashvili} and \textit{N. Khatiashvili}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 33, 39--42 (2019; Zbl 1524.82070) Full Text: Link
Wang, Lixia; Wang, Xiaoming; Zhang, Luyu Ground state solutions for the critical Klein-Gordon-Maxwell system. (English) Zbl 1499.35065 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1451-1460 (2019). MSC: 35B33 35J65 35Q55 PDFBibTeX XMLCite \textit{L. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 5, 1451--1460 (2019; Zbl 1499.35065) Full Text: DOI
Zhang, Yongqian; Zhao, Qin Large time behavior of solution to nonlinear Dirac equation in \(1+1\) dimensions. (English) Zbl 1499.35525 Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 597-606 (2019). MSC: 35Q41 35Q40 35L60 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Q. Zhao}, Acta Math. Sci., Ser. B, Engl. Ed. 39, No. 2, 597--606 (2019; Zbl 1499.35525) Full Text: DOI arXiv
Heydari, M. H.; Atangana, A. A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. (English) Zbl 1483.65165 Chaos Solitons Fractals 128, 339-348 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{M. H. Heydari} and \textit{A. Atangana}, Chaos Solitons Fractals 128, 339--348 (2019; Zbl 1483.65165) Full Text: DOI
Shahein, R. A.; El-Shehri, Jawaher H. Bifurcation analysis of dissipative rogue wave in electron-positron-ion plasma with relativistic ions and superthermal electrons. (English) Zbl 1483.35019 Chaos Solitons Fractals 128, 114-122 (2019). MSC: 35B32 35Q55 PDFBibTeX XMLCite \textit{R. A. Shahein} and \textit{J. H. El-Shehri}, Chaos Solitons Fractals 128, 114--122 (2019; Zbl 1483.35019) Full Text: DOI
Song, Xianfa; Wang, Zhiqiang Stability of the standing wave solution to a quasilinear Schrödinger equation. (Chinese. English summary) Zbl 1499.35079 Sci. Sin., Math. 49, No. 12, 1879-1896 (2019). MSC: 35B35 35Q55 PDFBibTeX XMLCite \textit{X. Song} and \textit{Z. Wang}, Sci. Sin., Math. 49, No. 12, 1879--1896 (2019; Zbl 1499.35079) Full Text: DOI
Jha, Navnit; Singh, Bhagat Exponential basis and exponential expanding grids third (fourth)-order compact schemes for nonlinear three-dimensional convection-diffusion-reaction equation. (English) Zbl 1485.65114 Adv. Difference Equ. 2019, Paper No. 339, 27 p. (2019). MSC: 65N06 65N12 65F10 35J25 35J65 PDFBibTeX XMLCite \textit{N. Jha} and \textit{B. Singh}, Adv. Difference Equ. 2019, Paper No. 339, 27 p. (2019; Zbl 1485.65114) Full Text: DOI
Mahrous, Yussri M.; Khaled, S. M.; Ebaid, Abdelhalim An Internet traffic flow model via a conformable derivative: the exact soliton solutions. (English) Zbl 1524.78066 Adv. Differ. Equ. Control Process. 21, No. 2, 227-237 (2019). MSC: 78A60 37K10 35Q51 35Q55 35C08 35A01 26A33 35R11 35B20 PDFBibTeX XMLCite \textit{Y. M. Mahrous} et al., Adv. Differ. Equ. Control Process. 21, No. 2, 227--237 (2019; Zbl 1524.78066) Full Text: DOI
Shi, Dongyang; Yang, Huaijun Superconvergence analysis of a new linearized MFEM for nonlinear Schrödinger equation. (English) Zbl 1499.65525 Int. J. Comput. Math. 96, No. 7, 1514-1531 (2019). MSC: 65M60 65M06 65N30 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{D. Shi} and \textit{H. Yang}, Int. J. Comput. Math. 96, No. 7, 1514--1531 (2019; Zbl 1499.65525) Full Text: DOI
Zhang, Hui; Jiang, Xiaoyun; Wang, Chu; Chen, Shanzhen Crank-Nicolson Fourier spectral methods for the space fractional nonlinear Schrödinger equation and its parameter estimation. (English) Zbl 1513.65322 Int. J. Comput. Math. 96, No. 2, 238-263 (2019). MSC: 65M06 26A33 65M12 65M15 65M70 65T50 65N30 65N15 35Q55 35R11 PDFBibTeX XMLCite \textit{H. Zhang} et al., Int. J. Comput. Math. 96, No. 2, 238--263 (2019; Zbl 1513.65322) Full Text: DOI
Wang, Ying; Mei, Liquan A conservative spectral Galerkin method for the coupled nonlinear space-fractional Schrödinger equations. (English) Zbl 1499.65442 Int. J. Comput. Math. 96, No. 12, 2387-2410 (2019). MSC: 65M06 65M12 65M15 65M70 65N35 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{L. Mei}, Int. J. Comput. Math. 96, No. 12, 2387--2410 (2019; Zbl 1499.65442) Full Text: DOI
Wei, Xinxin; Zhang, Luming; Wang, Shanshan; Liao, Feng An efficient split-step compact finite difference method for the coupled Gross-Pitaevskii equations. (English) Zbl 1499.65444 Int. J. Comput. Math. 96, No. 12, 2334-2351 (2019). MSC: 65M06 65N06 65M22 35Q55 35Q41 PDFBibTeX XMLCite \textit{X. Wei} et al., Int. J. Comput. Math. 96, No. 12, 2334--2351 (2019; Zbl 1499.65444) Full Text: DOI
Bensouilah, Abdelwahab; Dinh, Van Duong; Majdoub, Mohamed Scattering in the weighted \( L^2 \)-space for a 2D nonlinear Schrödinger equation with inhomogeneous exponential nonlinearity. (English) Zbl 1483.35198 Commun. Pure Appl. Anal. 18, No. 5, 2735-2755 (2019). MSC: 35Q55 35L70 35B40 35B33 37K06 37L50 PDFBibTeX XMLCite \textit{A. Bensouilah} et al., Commun. Pure Appl. Anal. 18, No. 5, 2735--2755 (2019; Zbl 1483.35198) Full Text: DOI arXiv
Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei Concentration of ground state solutions for quasilinear Schrödinger systems with critical exponents. (English) Zbl 1483.35202 Commun. Pure Appl. Anal. 18, No. 5, 2693-2715 (2019). MSC: 35Q55 35J65 35B33 35B09 35A01 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Pure Appl. Anal. 18, No. 5, 2693--2715 (2019; Zbl 1483.35202) Full Text: DOI
Selvitella, Alessandro Qualitative properties of stationary solutions of the NLS on the hyperbolic space without and with external potentials. (English) Zbl 1483.35226 Commun. Pure Appl. Anal. 18, No. 5, 2663-2677 (2019). MSC: 35Q55 35J61 35B44 35B33 58J05 PDFBibTeX XMLCite \textit{A. Selvitella}, Commun. Pure Appl. Anal. 18, No. 5, 2663--2677 (2019; Zbl 1483.35226) Full Text: DOI
Compaan, E. A note on global existence for the Zakharov system on \( \mathbb{T} \). (English) Zbl 1483.35204 Commun. Pure Appl. Anal. 18, No. 5, 2473-2489 (2019). MSC: 35Q55 35Q40 35B65 35A01 35A02 37K15 PDFBibTeX XMLCite \textit{E. Compaan}, Commun. Pure Appl. Anal. 18, No. 5, 2473--2489 (2019; Zbl 1483.35204) Full Text: DOI arXiv
Pastor, Ademir On three-wave interaction Schrödinger systems with quadratic nonlinearities: global well-posedness and standing waves. (English) Zbl 1483.35222 Commun. Pure Appl. Anal. 18, No. 5, 2217-2242 (2019). MSC: 35Q55 35J50 35B35 35A15 35B45 35A01 35A02 37K45 35Q51 78A60 PDFBibTeX XMLCite \textit{A. Pastor}, Commun. Pure Appl. Anal. 18, No. 5, 2217--2242 (2019; Zbl 1483.35222) Full Text: DOI
Zhao, Lingling A Schrödinger-type algorithm for solving the Schrödinger equations via Phragmén-Lindelöf inequalities. (English) Zbl 1499.65452 J. Inequal. Appl. 2019, Paper No. 144, 14 p. (2019). MSC: 65M06 35Q55 65M12 65K05 PDFBibTeX XMLCite \textit{L. Zhao}, J. Inequal. Appl. 2019, Paper No. 144, 14 p. (2019; Zbl 1499.65452) Full Text: DOI
Özsarı, Türker; Yolcu, Nermin The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line. (English) Zbl 1479.35816 Commun. Pure Appl. Anal. 18, No. 6, 3285-3316 (2019). MSC: 35Q55 35C15 35A01 35A02 35G31 35A22 31A30 PDFBibTeX XMLCite \textit{T. Özsarı} and \textit{N. Yolcu}, Commun. Pure Appl. Anal. 18, No. 6, 3285--3316 (2019; Zbl 1479.35816) Full Text: DOI arXiv
Silva, Edcarlos D.; de Albuquerque, José Carlos; Severo, Uberlandio On a class of linearly coupled systems on \(\mathbb{R}^N\) involving asymptotically linear terms. (English) Zbl 1481.35174 Commun. Pure Appl. Anal. 18, No. 6, 3089-3101 (2019). MSC: 35J47 35Q55 35A01 35J50 PDFBibTeX XMLCite \textit{E. D. Silva} et al., Commun. Pure Appl. Anal. 18, No. 6, 3089--3101 (2019; Zbl 1481.35174) Full Text: DOI
Masaki, Satoshi; Murphy, Jason; Segata, Jun-Ichi Modified scattering for the one-dimensional cubic NLS with a repulsive delta potential. (English) Zbl 1479.35812 Int. Math. Res. Not. 2019, No. 24, 7577-7603 (2019). MSC: 35Q55 35B40 35P25 35A01 35A02 PDFBibTeX XMLCite \textit{S. Masaki} et al., Int. Math. Res. Not. 2019, No. 24, 7577--7603 (2019; Zbl 1479.35812) Full Text: DOI arXiv
Feng, Xiaobing; Liu, Hailiang; Ma, Shu Mass- and energy-conserved numerical schemes for nonlinear Schrödinger equations. (English) Zbl 1473.65102 Commun. Comput. Phys. 26, No. 5, 1365-1396 (2019). MSC: 65M06 35Q55 65M12 PDFBibTeX XMLCite \textit{X. Feng} et al., Commun. Comput. Phys. 26, No. 5, 1365--1396 (2019; Zbl 1473.65102) Full Text: DOI arXiv
Song, Mingzhan; Qian, Xu; Zhang, Hong; Xia, Jingmin; Song, Songhe Two kinds of new energy-preserving schemes for the coupled nonlinear Schrödinger equations. (English) Zbl 1486.65210 Commun. Comput. Phys. 25, No. 4, 1127-1143 (2019). MSC: 65M70 65M06 65N35 35Q55 35Q41 PDFBibTeX XMLCite \textit{M. Song} et al., Commun. Comput. Phys. 25, No. 4, 1127--1143 (2019; Zbl 1486.65210) Full Text: DOI
Horikis, Theodoros P.; Frantzeskakis, Dimitrios J. Patterns of water in light. (English) Zbl 1472.35357 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2227, Article ID 20190110, 17 p. (2019). MSC: 35Q55 35C08 81Q80 PDFBibTeX XMLCite \textit{T. P. Horikis} and \textit{D. J. Frantzeskakis}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2227, Article ID 20190110, 17 p. (2019; Zbl 1472.35357) Full Text: DOI
Ye, Yanlin; Zhou, Yi; Chen, Shihua; Baronio, Fabio; Grelu, Philippe General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation. (English) Zbl 1472.76020 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2224, Article ID 20180806, 18 p. (2019). MSC: 76B25 35A30 86A05 35Q55 PDFBibTeX XMLCite \textit{Y. Ye} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2224, Article ID 20180806, 18 p. (2019; Zbl 1472.76020) Full Text: DOI
Zhang, Jiwei; Li, Dongfang; Antoine, Xavier Efficient numerical computation of time-fractional nonlinear Schrödinger equations in unbounded domain. (English) Zbl 1516.65070 Commun. Comput. Phys. 25, No. 1, 218-243 (2019). MSC: 65M06 65N06 65M12 65M15 26A33 35R11 35Q55 35Q41 PDFBibTeX XMLCite \textit{J. Zhang} et al., Commun. Comput. Phys. 25, No. 1, 218--243 (2019; Zbl 1516.65070) Full Text: DOI
Nabelek, Patrik; Zakharov, Dmitry; Zakharov, Vladimir On symmetric primitive potentials. (English) Zbl 1481.37080 J. Integrable Syst. 4, Article ID xyz006, 20 p. (2019). MSC: 37K15 37K20 35Q55 35Q51 35Q53 PDFBibTeX XMLCite \textit{P. Nabelek} et al., J. Integrable Syst. 4, Article ID xyz006, 20 p. (2019; Zbl 1481.37080) Full Text: DOI arXiv
Al Khawaja, Usama; Al Sakkaf, Laila Handbook of exact solutions to the nonlinear Schrödinger equations. (English) Zbl 1471.35001 Bristol: IOP Publishing (ISBN 978-0-7503-2426-7/pbk; 978-0-7503-2428-1/ebook). xiv, 381 p. (2019). MSC: 35-00 35Q55 35C05 PDFBibTeX XMLCite \textit{U. Al Khawaja} and \textit{L. Al Sakkaf}, Handbook of exact solutions to the nonlinear Schrödinger equations. Bristol: IOP Publishing (2019; Zbl 1471.35001) Full Text: DOI
Horikoshi, Atsushi Hidden Nambu mechanics. II: Quantum/semiclassical dynamics. (English) Zbl 1477.81038 PTEP, Prog. Theor. Exper. Phys. 2019, No. 12, Article ID 123A02, 17 p. (2019). MSC: 81Q20 70H05 81Q10 81Q05 34C15 PDFBibTeX XMLCite \textit{A. Horikoshi}, PTEP, Prog. Theor. Exper. Phys. 2019, No. 12, Article ID 123A02, 17 p. (2019; Zbl 1477.81038) Full Text: DOI arXiv
Yanagisawa, Takashi Renormalization group analysis of the hyperbolic sine-Gordon model: asymptotic freedom from cosh interaction. (English) Zbl 1477.81032 PTEP, Prog. Theor. Exper. Phys. 2019, No. 2, Article ID 023A01, 11 p. (2019). MSC: 81Q05 35Q55 81R20 81T40 81T17 PDFBibTeX XMLCite \textit{T. Yanagisawa}, PTEP, Prog. Theor. Exper. Phys. 2019, No. 2, Article ID 023A01, 11 p. (2019; Zbl 1477.81032) Full Text: DOI arXiv
Du, Lingxi; Sun, Yuhuai; Wu, Dashan Bifurcations and solutions for the generalized nonlinear Schrödinger equation. (English) Zbl 1479.35781 Phys. Lett., A 383, No. 36, Article ID 126028, 5 p. (2019). MSC: 35Q55 35B32 35C08 35A22 35A24 33E05 PDFBibTeX XMLCite \textit{L. Du} et al., Phys. Lett., A 383, No. 36, Article ID 126028, 5 p. (2019; Zbl 1479.35781) Full Text: DOI
Liu, Chunping; Yu, Fajun; Li, Li Non-autonomous wave solutions for the Gross-Pitaevskii (GP) equation with a parabola external potential in Bose-Einstein condensates. (English) Zbl 1479.35803 Phys. Lett., A 383, No. 34, Article ID 125981, 5 p. (2019). MSC: 35Q55 PDFBibTeX XMLCite \textit{C. Liu} et al., Phys. Lett., A 383, No. 34, Article ID 125981, 5 p. (2019; Zbl 1479.35803) Full Text: DOI
Otajonov, Sherzod R.; Tsoy, Eduard N.; Abdullaev, Fatkhulla Kh. Stationary and dynamical properties of one-dimensional quantum droplets. (English) Zbl 1489.82076 Phys. Lett., A 383, No. 34, Article ID 125980, 5 p. (2019). MSC: 82D05 82C10 35Q55 35C08 PDFBibTeX XMLCite \textit{S. R. Otajonov} et al., Phys. Lett., A 383, No. 34, Article ID 125980, 5 p. (2019; Zbl 1489.82076) Full Text: DOI arXiv
Chen, Shuyan; Yan, Zhenya The higher-order nonlinear Schrödinger equation with non-zero boundary conditions: robust inverse scattering transform, breathers, and rogons. (English) Zbl 1476.81033 Phys. Lett., A 383, No. 29, Article ID 125906, 11 p. (2019). MSC: 81Q05 35Q55 35G30 35Q15 37K35 35C05 81Q80 PDFBibTeX XMLCite \textit{S. Chen} and \textit{Z. Yan}, Phys. Lett., A 383, No. 29, Article ID 125906, 11 p. (2019; Zbl 1476.81033) Full Text: DOI
Cardoso, Wesley B. Localization of optical pulses in guided wave structures with only fourth order dispersion. (English) Zbl 1479.82066 Phys. Lett., A 383, No. 28, Article ID 125898, 5 p. (2019). MSC: 82D20 35Q55 82B20 82B44 82D37 35C08 78A60 35R60 PDFBibTeX XMLCite \textit{W. B. Cardoso}, Phys. Lett., A 383, No. 28, Article ID 125898, 5 p. (2019; Zbl 1479.82066) Full Text: DOI
Fujioka, Jorge; Espinosa, Áurea Generalized Ablowitz-Ladik equation with a dual Lagrangian structure. (English) Zbl 1479.35788 Phys. Lett., A 383, No. 27, Article ID 125849, 8 p. (2019). MSC: 35Q55 39A12 35C08 35A01 PDFBibTeX XMLCite \textit{J. Fujioka} and \textit{Á. Espinosa}, Phys. Lett., A 383, No. 27, Article ID 125849, 8 p. (2019; Zbl 1479.35788) Full Text: DOI
Peng, Ping; Li, Guan-Qiang; Zhao, Li-Chen; Yang, Wen-Li; Yang, Zhan-Ying Magnetized vector solitons in a spin-orbit coupled spin-1 Bose-Einstein condensate with Zeeman coupling. (English) Zbl 1476.81173 Phys. Lett., A 383, No. 24, 2883-2890 (2019). MSC: 81V73 82B26 35C08 81V10 81Q15 78A30 35Q55 35P30 PDFBibTeX XMLCite \textit{P. Peng} et al., Phys. Lett., A 383, No. 24, 2883--2890 (2019; Zbl 1476.81173) Full Text: DOI
Ullah, Kamran The occurrence of multistability and normal mode splitting in an optomechanical system. (English) Zbl 1476.81179 Phys. Lett., A 383, No. 25, 3074-3079 (2019). MSC: 81V80 78A60 35Q41 82D80 42A38 PDFBibTeX XMLCite \textit{K. Ullah}, Phys. Lett., A 383, No. 25, 3074--3079 (2019; Zbl 1476.81179) Full Text: DOI
Prasad, Vinod; Lumb Talwar, Shalini; Lumb, Sonia; Lefkidis, G.; Hübner, W. Persistent currents and induced magnetization in presence of external magnetic field and transition probabilities in presence of combined laser pulse and external magnetic field for a confined Hydrogen atom. (English) Zbl 1476.81160 Phys. Lett., A 383, No. 26, Article ID 125775, 7 p. (2019). MSC: 81V45 81Q05 35Q41 81V80 78A60 65N25 35P05 PDFBibTeX XMLCite \textit{V. Prasad} et al., Phys. Lett., A 383, No. 26, Article ID 125775, 7 p. (2019; Zbl 1476.81160) Full Text: DOI
Gonis, A. Is an interacting ground state (pure state) \(v\)-representable density also non-interacting ground state \(v\)-representable by a Slater determinant? In the absence of degeneracy, yes! (English) Zbl 1479.82047 Phys. Lett., A 383, No. 23, 2772-2776 (2019). MSC: 82C22 82M36 35Q55 PDFBibTeX XMLCite \textit{A. Gonis}, Phys. Lett., A 383, No. 23, 2772--2776 (2019; Zbl 1479.82047) Full Text: DOI
da Costa, Bruno G.; Borges, Ernesto P. Nonlinear quantum mechanics in a \(q\)-deformed Hilbert space. (English) Zbl 1476.81034 Phys. Lett., A 383, No. 23, 2729-2738 (2019). MSC: 81Q05 35Q55 81S22 82B30 81P16 81R25 PDFBibTeX XMLCite \textit{B. G. da Costa} and \textit{E. P. Borges}, Phys. Lett., A 383, No. 23, 2729--2738 (2019; Zbl 1476.81034) Full Text: DOI
Ward, C. B.; Kevrekidis, P. G.; Whitaker, N. Evaluating the robustness of rogue waves under perturbations. (English) Zbl 1511.65097 Phys. Lett., A 383, No. 22, 2584-2588 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65K05 65L06 35B20 35C08 35L67 35Q55 35Q41 86A05 47J26 PDFBibTeX XMLCite \textit{C. B. Ward} et al., Phys. Lett., A 383, No. 22, 2584--2588 (2019; Zbl 1511.65097) Full Text: DOI arXiv
Xu, Liang-Liang; Liu, Yong-Kai; Feng, Shiping; Yang, Shi-Jie Fractional spin-vortex states in \(F = 2\) spinor Bose-Einstein condensates. (English) Zbl 1489.82048 Phys. Lett., A 383, No. 21, 2515-2518 (2019). MSC: 82C10 35Q55 26A33 35R11 PDFBibTeX XMLCite \textit{L.-L. Xu} et al., Phys. Lett., A 383, No. 21, 2515--2518 (2019; Zbl 1489.82048) Full Text: DOI
Chen, Tsung-Wei; Huang, Zhi-Yang; Chiou, Dah-Wei Dynamical precession of spin in the two-dimensional spin-orbit coupled systems. (English) Zbl 1476.81167 Phys. Lett., A 383, No. 21, 2504-2514 (2019). MSC: 81V70 81R25 70E05 81Q05 81Q15 37L05 PDFBibTeX XMLCite \textit{T.-W. Chen} et al., Phys. Lett., A 383, No. 21, 2504--2514 (2019; Zbl 1476.81167) Full Text: DOI arXiv
Cao, Wei-Ran; Wang, Yong-Long; Chen, Xiao-Lei; Jiang, Hua; Xu, Chang-Tan; Zong, Hong-Shi The geometric potential of a double-frequency corrugated surface. (English) Zbl 1489.82104 Phys. Lett., A 383, No. 17, 2124-2129 (2019). MSC: 82D80 35Q55 81U26 PDFBibTeX XMLCite \textit{W.-R. Cao} et al., Phys. Lett., A 383, No. 17, 2124--2129 (2019; Zbl 1489.82104) Full Text: DOI arXiv
Rusin, Rahmi; Kusdiantara, Rudy; Susanto, Hadi Variational approximations of soliton dynamics in the Ablowitz-Musslimani nonlinear Schrödinger equation. (English) Zbl 1476.81040 Phys. Lett., A 383, No. 17, 2039-2045 (2019). MSC: 81Q05 35Q55 81Q80 35A15 35C08 35B44 PDFBibTeX XMLCite \textit{R. Rusin} et al., Phys. Lett., A 383, No. 17, 2039--2045 (2019; Zbl 1476.81040) Full Text: DOI arXiv Link
Almutalk, Salemah A.; El-Tantawy, S. A.; El-Awady, E. I.; El-Labany, S. K. On the numerical solution of nonplanar dust-acoustic super rogue waves in a strongly coupled dusty plasma. (English) Zbl 1482.76150 Phys. Lett., A 383, No. 16, 1937-1941 (2019). MSC: 76X05 76Q05 76M99 PDFBibTeX XMLCite \textit{S. A. Almutalk} et al., Phys. Lett., A 383, No. 16, 1937--1941 (2019; Zbl 1482.76150) Full Text: DOI
Saini, Sahil; Singh, Parampreet Von Neumann stability of modified loop quantum cosmologies. (English) Zbl 1475.83039 Classical Quantum Gravity 36, No. 10, Article ID 105010, 26 p. (2019). MSC: 83C45 39A12 53C21 81Q05 83F05 70K50 83E05 PDFBibTeX XMLCite \textit{S. Saini} and \textit{P. Singh}, Classical Quantum Gravity 36, No. 10, Article ID 105010, 26 p. (2019; Zbl 1475.83039) Full Text: DOI arXiv
Muda, Y.; Akbar, F. T.; Kusdiantara, R.; Gunara, B. E.; Susanto, H. Justification of the discrete nonlinear Schrödinger equation from a parametrically driven damped nonlinear Klein-Gordon equation and numerical comparisons. (English) Zbl 1472.81083 Phys. Lett., A 383, No. 12, 1274-1282 (2019). MSC: 81Q05 35Q55 35P15 35A01 39A12 PDFBibTeX XMLCite \textit{Y. Muda} et al., Phys. Lett., A 383, No. 12, 1274--1282 (2019; Zbl 1472.81083) Full Text: DOI arXiv
Yang, Jianke General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations. (English) Zbl 1473.35519 Phys. Lett., A 383, No. 4, 328-337 (2019). MSC: 35Q55 35C08 35Q15 PDFBibTeX XMLCite \textit{J. Yang}, Phys. Lett., A 383, No. 4, 328--337 (2019; Zbl 1473.35519) Full Text: DOI arXiv
Plaisier Leisman, Katelyn; Biondini, Gino; Kovacic, Gregor Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates. (English) Zbl 1471.35260 Phys. Lett., A 383, No. 6, 494-503 (2019). MSC: 35Q55 34L40 PDFBibTeX XMLCite \textit{K. Plaisier Leisman} et al., Phys. Lett., A 383, No. 6, 494--503 (2019; Zbl 1471.35260) Full Text: DOI arXiv
Liu, Qihuai; Torres, Pedro J.; Xing, Mingyan Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices. (English) Zbl 1484.82025 IMA J. Appl. Math. 84, No. 1, 145-170 (2019). MSC: 82C10 81V19 35B10 35Q55 PDFBibTeX XMLCite \textit{Q. Liu} et al., IMA J. Appl. Math. 84, No. 1, 145--170 (2019; Zbl 1484.82025) Full Text: DOI
Rakotoson, Jean Michel Best regularity for a Schrödinger type equation with non smooth data and interpolation spaces. (English) Zbl 1472.35113 Ahusborde, É. (ed.) et al., Fifteenth international conference Zaragoza-Pau on mathematics and its applications. Proceedings of the conference, Jaca, Spain, September 10–12, 2018. Zaragoza: Prensas de la Universidad de Zaragoza. Monogr. Mat. García Galdeano 42, 243-252 (2019). MSC: 35J10 46E30 46B70 35J65 PDFBibTeX XMLCite \textit{J. M. Rakotoson}, Monogr. Mat. García Galdeano 42, 243--252 (2019; Zbl 1472.35113)
Guo, Chunxiao; Guo, Boling The existence of global solutions for the fourth-order nonlinear Schrödinger equations. (English) Zbl 1479.35707 J. Appl. Anal. Comput. 9, No. 3, 1183-1192 (2019). MSC: 35Q40 35Q55 35A01 35D30 35G20 PDFBibTeX XMLCite \textit{C. Guo} and \textit{B. Guo}, J. Appl. Anal. Comput. 9, No. 3, 1183--1192 (2019; Zbl 1479.35707) Full Text: DOI
Bonheure, Denis; Castéras, Jean-Baptiste; Gou, Tianxiang; Jeanjean, Louis Strong instability of ground states to a fourth order Schrödinger equation. (English) Zbl 1462.35347 Int. Math. Res. Not. 2019, No. 17, 5299-5315 (2019). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 81Q05 35B44 35B35 78A50 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Int. Math. Res. Not. 2019, No. 17, 5299--5315 (2019; Zbl 1462.35347) Full Text: DOI arXiv Link
Fu, Yayun; Song, Yongzhong; Wang, Yushun Maximum-norm error analysis of a conservative scheme for the damped nonlinear fractional Schrödinger equation. (English) Zbl 07316767 Math. Comput. Simul. 166, 206-223 (2019). MSC: 35Qxx 65Mxx 65Zxx PDFBibTeX XMLCite \textit{Y. Fu} et al., Math. Comput. Simul. 166, 206--223 (2019; Zbl 07316767) Full Text: DOI
Ahsan, Muhammad; Ahmad, Imtiaz; Ahmad, Masood; Hussian, Iltaf A numerical Haar wavelet-finite difference hybrid method for linear and non-linear Schrödinger equation. (English) Zbl 07316734 Math. Comput. Simul. 165, 13-25 (2019). MSC: 65Txx 45Gxx 65Rxx PDFBibTeX XMLCite \textit{M. Ahsan} et al., Math. Comput. Simul. 165, 13--25 (2019; Zbl 07316734) Full Text: DOI
Ahmed, N. U. Nonlinear Schödinger equation and its optimal control using laser induced dynamic potential. (English) Zbl 1458.49004 Pure Appl. Funct. Anal. 4, No. 1, 1-19 (2019). MSC: 49J20 49J40 49K20 78M50 93C20 49N60 PDFBibTeX XMLCite \textit{N. U. Ahmed}, Pure Appl. Funct. Anal. 4, No. 1, 1--19 (2019; Zbl 1458.49004) Full Text: Link
Kita, Naoyasu; Nakamura, Yoshihisa Large time behavior of small solutions to multi-component nonlinear Schrödinger equations related with spinor Bose-Einstein condensate. (English) Zbl 1454.35345 Linear Nonlinear Anal. 5, No. 1, Spec. Iss., 73-85 (2019). MSC: 35Q55 35B40 PDFBibTeX XMLCite \textit{N. Kita} and \textit{Y. Nakamura}, Linear Nonlinear Anal. 5, No. 1, 73--85 (2019; Zbl 1454.35345) Full Text: Link
Bao, Weizhu; Ha, Seung-Yeal; Kim, Dohyun; Tang, Qinglin Collective synchronization of the multi-component Gross-Pitaevskii-Lohe system. (English) Zbl 1453.35027 Physica D 400, Article ID 132158, 30 p. (2019). MSC: 35B40 35Q55 35A01 65M70 81-08 PDFBibTeX XMLCite \textit{W. Bao} et al., Physica D 400, Article ID 132158, 30 p. (2019; Zbl 1453.35027) Full Text: DOI
Georgiev, Vladimir; Li, Chunhua On the scattering problem for the nonlinear Schrödinger equation with a potential in 2D. (English) Zbl 1453.35131 Physica D 398, 208-218 (2019). MSC: 35P25 35Q55 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{C. Li}, Physica D 398, 208--218 (2019; Zbl 1453.35131) Full Text: DOI arXiv
Trofimov, Vyacheslav A.; Trykin, Evgeny M. Enhancement of ABCs efficiency at computer simulation of optical pulse interaction with inhomogeneous nonlinear medium. (English) Zbl 1453.65235 J. Comput. Phys. 399, Article ID 108947, 19 p. (2019). MSC: 65M06 65Z05 35Q60 35Q55 78A60 PDFBibTeX XMLCite \textit{V. A. Trofimov} and \textit{E. M. Trykin}, J. Comput. Phys. 399, Article ID 108947, 19 p. (2019; Zbl 1453.65235) Full Text: DOI
Bao, Weizhu; Zhao, Xiaofei Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. (English) Zbl 1453.65278 J. Comput. Phys. 398, Article ID 108886, 30 p. (2019). MSC: 65M15 65M06 35Q40 81Q05 65Z05 PDFBibTeX XMLCite \textit{W. Bao} and \textit{X. Zhao}, J. Comput. Phys. 398, Article ID 108886, 30 p. (2019; Zbl 1453.65278) Full Text: DOI arXiv
Sun, Zhengjie Multi-symplectic quasi-interpolation method for Hamiltonian partial differential equations. (English) Zbl 1452.65397 J. Comput. Phys. 395, 125-143 (2019). MSC: 65P10 37K06 35Q55 37K40 PDFBibTeX XMLCite \textit{Z. Sun}, J. Comput. Phys. 395, 125--143 (2019; Zbl 1452.65397) Full Text: DOI
Antoine, Xavier; Lorin, Emmanuel Towards perfectly matched layers for time-dependent space fractional PDEs. (English) Zbl 1452.65266 J. Comput. Phys. 391, 59-90 (2019). MSC: 65M70 35R11 35Q55 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{E. Lorin}, J. Comput. Phys. 391, 59--90 (2019; Zbl 1452.65266) Full Text: DOI HAL
Kharshiladze, O. A.; Belashov, V. Yu. Asymptotic and qualitative analysis of the multidimensional GKP and 3-DNLS equation solutions for their classification. (English) Zbl 1458.35390 Trans. A. Razmadze Math. Inst. 173, No. 1, 53-59 (2019). MSC: 35Q55 35Q53 81Q05 35C08 35B40 PDFBibTeX XMLCite \textit{O. A. Kharshiladze} and \textit{V. Yu. Belashov}, Trans. A. Razmadze Math. Inst. 173, No. 1, 53--59 (2019; Zbl 1458.35390) Full Text: Link
Wang, Jianing; Liu, Jian Existence of sign-changing solutions for fractional Schrödinger equations. (English) Zbl 1463.35470 Acta Anal. Funct. Appl. 21, No. 4, 349-355 (2019). MSC: 35Q55 35R11 35A15 PDFBibTeX XMLCite \textit{J. Wang} and \textit{J. Liu}, Acta Anal. Funct. Appl. 21, No. 4, 349--355 (2019; Zbl 1463.35470)
Chen, Ting-Ting; Hu, Peng-Yan; He, Jing-Song General higher-order breather and hybrid solutions of the Fokas system. (English) Zbl 1452.35182 Commun. Theor. Phys. 71, No. 5, 496-508 (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{T.-T. Chen} et al., Commun. Theor. Phys. 71, No. 5, 496--508 (2019; Zbl 1452.35182) Full Text: DOI
Liu, Shu-Zhi; Zhang, Yong-Shuai; He, Jing-Song Smooth positons of the second-type derivative nonlinear Schrödinger equation. (English) Zbl 1452.35191 Commun. Theor. Phys. 71, No. 4, 357-361 (2019). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{S.-Z. Liu} et al., Commun. Theor. Phys. 71, No. 4, 357--361 (2019; Zbl 1452.35191) Full Text: DOI
Wang, Xiu-Bin; Han, Bo Characteristics of rogue waves on a soliton background in the general coupled nonlinear Schrödinger equation. (English) Zbl 1452.35197 Commun. Theor. Phys. 71, No. 2, 152-160 (2019). MSC: 35Q55 35C08 76B15 PDFBibTeX XMLCite \textit{X.-B. Wang} and \textit{B. Han}, Commun. Theor. Phys. 71, No. 2, 152--160 (2019; Zbl 1452.35197) Full Text: DOI
Chu, Mei-Xia; Tian, Bo; Yuan, Yu-Qiang; Zhang, Ze; Tian, He-Yuan Bilinear forms and dark-dark solitons for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in a twin-core optical fiber or non-Kerr medium. (English) Zbl 1452.35183 Commun. Theor. Phys. 71, No. 12, 1393-1398 (2019). MSC: 35Q55 81V80 78A60 35C08 PDFBibTeX XMLCite \textit{M.-X. Chu} et al., Commun. Theor. Phys. 71, No. 12, 1393--1398 (2019; Zbl 1452.35183) Full Text: DOI