Manton, N. S. Integration theory for kinks and sphalerons in one dimension. (English) Zbl 07789624 J. Phys. A, Math. Theor. 57, No. 2, Article ID 025202, 20 p. (2024). MSC: 81-XX 35-XX PDFBibTeX XMLCite \textit{N. S. Manton}, J. Phys. A, Math. Theor. 57, No. 2, Article ID 025202, 20 p. (2024; Zbl 07789624) Full Text: DOI arXiv OA License
Kumar, Sudhir; Mittal, R. C.; Jiwari, Ram Retracted article: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations. (English) Zbl 1524.65662 Int. J. Comput. Math. 100, No. 7, 1580-1600 (2023); retraction note ibid. 100, No. 9, 1955 (2023). MSC: 65M70 65D07 65M12 35Q53 35L70 65L12 65F15 65M06 65N35 PDFBibTeX XMLCite \textit{S. Kumar} et al., Int. J. Comput. Math. 100, No. 7, 1580--1600 (2023; Zbl 1524.65662) Full Text: DOI
He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang An energy-conserving finite element method for nonlinear fourth-order wave equations. (English) Zbl 1498.65158 Appl. Numer. Math. 183, 333-354 (2023). MSC: 65M60 65M06 65N30 65M12 35G20 PDFBibTeX XMLCite \textit{M. He} et al., Appl. Numer. Math. 183, 333--354 (2023; Zbl 1498.65158) Full Text: DOI
Luo, Yongbing; Ahmed, Md Salik Cauchy problem of nonlinear Klein-Gordon equations with general nonlinearities. (English) Zbl 1500.35063 Rend. Circ. Mat. Palermo (2) 71, No. 3, 959-973 (2022). MSC: 35B44 35L15 35L71 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{M. S. Ahmed}, Rend. Circ. Mat. Palermo (2) 71, No. 3, 959--973 (2022; Zbl 1500.35063) Full Text: DOI
Falade, K. I.; Tiamiyu, A. T. A newly formulated algorithm for the numerical solution of nonlinear Klein-Gordon equation. (English) Zbl 07549739 J. Niger. Math. Soc. 41, No. 1, 13-25 (2022). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{K. I. Falade} and \textit{A. T. Tiamiyu}, J. Niger. Math. Soc. 41, No. 1, 13--25 (2022; Zbl 07549739) Full Text: Link
Deresse, Alemayehu Tamirie Double Sumudu transform iterative method for one-dimensional nonlinear coupled sine-Gordon equation. (English) Zbl 1489.65152 Adv. Math. Phys. 2022, Article ID 6977692, 15 p. (2022). MSC: 65M99 65J15 44A10 35Q53 PDFBibTeX XMLCite \textit{A. T. Deresse}, Adv. Math. Phys. 2022, Article ID 6977692, 15 p. (2022; Zbl 1489.65152) Full Text: DOI
Abhinav, Kumar; Mukherjee, Indranil; Guha, Partha Non-holonomic and quasi-integrable deformations of the AB equations. (English) Zbl 1508.35053 Physica D 433, Article ID 133186, 15 p. (2022). MSC: 35Q35 35Q86 35Q60 86A05 86A10 78A60 35C05 35C08 37K10 PDFBibTeX XMLCite \textit{K. Abhinav} et al., Physica D 433, Article ID 133186, 15 p. (2022; Zbl 1508.35053) Full Text: DOI arXiv
Jiwari, Ram Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine-Gordon equation. (English) Zbl 07776054 Numer. Methods Partial Differ. Equations 37, No. 3, 1965-1992 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Jiwari}, Numer. Methods Partial Differ. Equations 37, No. 3, 1965--1992 (2021; Zbl 07776054) Full Text: DOI
Tekin, Ibrahim Determination of a time-dependent coefficient in a non-linear hyperbolic equation with non-classical boundary condition. (English) Zbl 1513.65340 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 41, No. 1, Math., 154-171 (2021). MSC: 65M32 35R30 35L70 PDFBibTeX XMLCite \textit{I. Tekin}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 41, No. 1, Math., 154--171 (2021; Zbl 1513.65340) Full Text: Link
Cheng, Xinyu; Li, Dong; Quan, Chaoyu; Yang, Wen On a parabolic sine-Gordon model. (English) Zbl 1499.65379 Numer. Math., Theory Methods Appl. 14, No. 4, 1068-1084 (2021). MSC: 65M06 65M12 65M20 65L06 PDFBibTeX XMLCite \textit{X. Cheng} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 1068--1084 (2021; Zbl 1499.65379) Full Text: DOI arXiv
Singh, Brajesh Kumar; Gupta, Mukesh A new efficient fourth order collocation scheme for solving sine-Gordon equation. (English) Zbl 07490149 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 138, 18 p. (2021). MSC: 65Mxx 34-XX PDFBibTeX XMLCite \textit{B. K. Singh} and \textit{M. Gupta}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 138, 18 p. (2021; Zbl 07490149) Full Text: DOI
Xing, Zhiyong; Wen, Liping A linearized difference scheme for time-fractional sine-Gordon equation. (English) Zbl 1488.35584 Adv. Appl. Math. Mech. 13, No. 2, 285-295 (2021). MSC: 35R11 65M06 65M12 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Appl. Math. Mech. 13, No. 2, 285--295 (2021; Zbl 1488.35584) Full Text: DOI
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao Invariant Gibbs dynamics for the dynamical sine-Gordon model. (English) Zbl 1473.35363 Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1450-1466 (2021). MSC: 35L71 35L20 35R60 60H15 PDFBibTeX XMLCite \textit{T. Oh} et al., Proc. R. Soc. Edinb., Sect. A, Math. 151, No. 5, 1450--1466 (2021; Zbl 1473.35363) Full Text: DOI arXiv
Oh, Tadahiro; Robert, Tristan; Sosoe, Philippe; Wang, Yuzhao On the two-dimensional hyperbolic stochastic sine-Gordon equation. (English) Zbl 1470.35450 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 1, 1-32 (2021). MSC: 35R60 35L71 35L20 60H15 PDFBibTeX XMLCite \textit{T. Oh} et al., Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 1, 1--32 (2021; Zbl 1470.35450) Full Text: DOI arXiv
Xing, Zhiyong; Wen, Liping; Wang, Wansheng An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations. (English) Zbl 1524.65422 Math. Comput. Simul. 181, 624-641 (2021). MSC: 65M06 65M12 35R11 PDFBibTeX XMLCite \textit{Z. Xing} et al., Math. Comput. Simul. 181, 624--641 (2021; Zbl 1524.65422) Full Text: DOI
Wang, Gangwei A novel \((3+1)\)-dimensional sine-Gorden and a sinh-Gorden equation: derivation, symmetries and conservation laws. (English) Zbl 1458.35020 Appl. Math. Lett. 113, Article ID 106768, 7 p. (2021). MSC: 35B06 35L71 PDFBibTeX XMLCite \textit{G. Wang}, Appl. Math. Lett. 113, Article ID 106768, 7 p. (2021; Zbl 1458.35020) Full Text: DOI
Hou, Baohui; Liang, Dong Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. (English) Zbl 1459.65144 J. Comput. Appl. Math. 386, Article ID 113227, 26 p. (2021). MSC: 65M06 65M12 65M15 35C08 37K06 35R11 PDFBibTeX XMLCite \textit{B. Hou} and \textit{D. Liang}, J. Comput. Appl. Math. 386, Article ID 113227, 26 p. (2021; Zbl 1459.65144) Full Text: DOI
Hasebe, Kazuki A unified construction of Skyrme-type non-linear sigma models via the higher dimensional Landau models. (English) Zbl 1472.81145 Nucl. Phys., B 961, Article ID 115250, 58 p. (2020). MSC: 81T10 81V70 35C08 81R10 PDFBibTeX XMLCite \textit{K. Hasebe}, Nucl. Phys., B 961, Article ID 115250, 58 p. (2020; Zbl 1472.81145) Full Text: DOI arXiv
Martin-Vergara, Francisca; Rus, Francisco; Villatoro, Francisco R. Padé schemes with Richardson extrapolation for the sine-Gordon equation. (English) Zbl 1452.65170 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105243, 14 p. (2020). MSC: 65M06 41A21 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{F. Martin-Vergara} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105243, 14 p. (2020; Zbl 1452.65170) Full Text: DOI
He, Mingyan; Sun, Pengtao Energy-preserving finite element methods for a class of nonlinear wave equations. (English) Zbl 1446.65112 Appl. Numer. Math. 157, 446-469 (2020). MSC: 65M60 65M06 65M12 35L70 35R05 PDFBibTeX XMLCite \textit{M. He} and \textit{P. Sun}, Appl. Numer. Math. 157, 446--469 (2020; Zbl 1446.65112) Full Text: DOI
Gomide, Otávio M. L.; Guardia, Marcel; Seara, Tere M. Critical velocity in kink-defect interaction models: rigorous results. (English) Zbl 1439.35334 J. Differ. Equations 269, No. 4, 3282-3346 (2020). MSC: 35L71 35B25 35R05 PDFBibTeX XMLCite \textit{O. M. L. Gomide} et al., J. Differ. Equations 269, No. 4, 3282--3346 (2020; Zbl 1439.35334) Full Text: DOI arXiv
Pang, Yue; Yang, Yanbing A note on finite time blowup for dissipative Klein-Gordon equation. (English) Zbl 1435.35338 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111729, 7 p. (2020). MSC: 35Q53 35B65 35B44 35A01 PDFBibTeX XMLCite \textit{Y. Pang} and \textit{Y. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111729, 7 p. (2020; Zbl 1435.35338) Full Text: DOI
Baccouch, Mahboub A posteriori error analysis of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1428.65025 J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020). MSC: 65M12 65M60 65M15 65M50 35Q53 65L06 35C08 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Appl. Math. 366, Article ID 112432, 20 p. (2020; Zbl 1428.65025) Full Text: DOI
Dellar, Paul J. Relativistic properties and invariants of the du fort-frankel scheme for the one-dimensional Schrödinger equation. (English) Zbl 07785497 J. Comput. Phys.: X 2, Article ID 100004, 18 p. (2019). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{P. J. Dellar}, J. Comput. Phys.: X 2, Article ID 100004, 18 p. (2019; Zbl 07785497) Full Text: DOI
Belendryasova, Ekaterina; Gani, Vakhid A. Scattering of the \(\varphi^8\) kinks with power-law asymptotics. (English) Zbl 1508.35026 Commun. Nonlinear Sci. Numer. Simul. 67, 414-426 (2019). MSC: 35L71 35C08 35P25 PDFBibTeX XMLCite \textit{E. Belendryasova} and \textit{V. A. Gani}, Commun. Nonlinear Sci. Numer. Simul. 67, 414--426 (2019; Zbl 1508.35026) Full Text: DOI arXiv
Martin-Vergara, Francisca; Rus, Francisco; Villatoro, Francisco R. Padé numerical schemes for the sine-Gordon equation. (English) Zbl 1429.65192 Appl. Math. Comput. 358, 232-243 (2019). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{F. Martin-Vergara} et al., Appl. Math. Comput. 358, 232--243 (2019; Zbl 1429.65192) Full Text: DOI
Wang, Bin; Wu, Xinyuan A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations. (English) Zbl 1439.35417 Appl. Numer. Math. 142, 64-89 (2019). Reviewer: Jinliang Yan (Wuyishan) MSC: 35Q41 65L20 65M12 65P10 35B35 65L06 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Appl. Numer. Math. 142, 64--89 (2019; Zbl 1439.35417) Full Text: DOI
Luo, Yongbing; Yang, Yanbing; Ahmed, Md Salik; Yu, Tao; Zhang, Mingyou; Wang, Ligang; Xu, Huichao Global existence and blow up of the solution for nonlinear Klein-Gordon equation with general power-type nonlinearities at three initial energy levels. (English) Zbl 1430.35158 Appl. Numer. Math. 141, 102-123 (2019). Reviewer: Denis Borisov (Ufa) MSC: 35L71 35B44 35L15 PDFBibTeX XMLCite \textit{Y. Luo} et al., Appl. Numer. Math. 141, 102--123 (2019; Zbl 1430.35158) Full Text: DOI
Xing, Zhiyong; Wen, Liping A conservative difference scheme for the Riesz space-fractional sine-Gordon equation. (English) Zbl 1446.65094 Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018). MSC: 65M12 65M06 35R11 35Q51 PDFBibTeX XMLCite \textit{Z. Xing} and \textit{L. Wen}, Adv. Difference Equ. 2018, Paper No. 238, 22 p. (2018; Zbl 1446.65094) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi Modal spectral element method in curvilinear domains. (English) Zbl 1393.65034 Appl. Numer. Math. 128, 157-182 (2018). MSC: 65M70 65M06 35L45 65T50 65M12 35Q79 35Q60 35R09 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Appl. Numer. Math. 128, 157--182 (2018; Zbl 1393.65034) Full Text: DOI
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation in one space dimension. (English) Zbl 1380.65246 J. Comput. Appl. Math. 333, 292-313 (2018). MSC: 65M60 35L70 65M12 65M15 PDFBibTeX XMLCite \textit{M. Baccouch}, J. Comput. Appl. Math. 333, 292--313 (2018; Zbl 1380.65246) Full Text: DOI
Christov, C. I. Pseudolocalized three-dimensional solitary waves as quasi-particles. (English) Zbl 1461.35160 Wave Motion 71, 25-41 (2017). MSC: 35L77 35L25 76B15 76D33 PDFBibTeX XMLCite \textit{C. I. Christov}, Wave Motion 71, 25--41 (2017; Zbl 1461.35160) Full Text: DOI arXiv
Kang, Xiaorong; Feng, Wenqiang; Cheng, Kelong; Guo, Chunxiang An efficient finite difference scheme for the 2D sine-Gordon equation. (English) Zbl 1412.65080 J. Nonlinear Sci. Appl. 10, No. 6, 2998-3012 (2017). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Kang} et al., J. Nonlinear Sci. Appl. 10, No. 6, 2998--3012 (2017; Zbl 1412.65080) Full Text: DOI arXiv
Ferreira, L. A.; Shnir, Ya. Exact self-dual skyrmions. (English) Zbl 1379.81059 Phys. Lett., B 772, 621-627 (2017). MSC: 81T13 81T10 PDFBibTeX XMLCite \textit{L. A. Ferreira} and \textit{Ya. Shnir}, Phys. Lett., B 772, 621--627 (2017; Zbl 1379.81059) Full Text: DOI arXiv
Alvarez, P. D.; Canfora, F.; Dimakis, N.; Paliathanasis, A. Integrability and chemical potential in the \((3+1)\)-dimensional Skyrme model. (English) Zbl 1378.81066 Phys. Lett., B 773, 401-407 (2017). MSC: 81T10 81R12 PDFBibTeX XMLCite \textit{P. D. Alvarez} et al., Phys. Lett., B 773, 401--407 (2017; Zbl 1378.81066) Full Text: DOI arXiv
Fukushima, Kimichika; Sato, Hikaru Toward construction of a consistent field theory with Poincaré covariance in terms of step-function-type basis functions for gauge fields. (English) Zbl 1371.81005 Int. J. Mod. Phys. A 32, No. 21, Article ID 1730017, 50 p. (2017). MSC: 81-02 81T13 PDFBibTeX XMLCite \textit{K. Fukushima} and \textit{H. Sato}, Int. J. Mod. Phys. A 32, No. 21, Article ID 1730017, 50 p. (2017; Zbl 1371.81005) Full Text: DOI arXiv
Dvali, Gia; Gußmann, Alexander Aharonov-Bohm protection of black Hole’s baryon/skyrmion hair. (English) Zbl 1370.83047 Phys. Lett., B 768, 274-279 (2017). MSC: 83C57 PDFBibTeX XMLCite \textit{G. Dvali} and \textit{A. Gußmann}, Phys. Lett., B 768, 274--279 (2017; Zbl 1370.83047) Full Text: DOI arXiv
Baccouch, Mahboub Superconvergence of the local discontinuous Galerkin method for the sine-Gordon equation on Cartesian grids. (English) Zbl 1355.65114 Appl. Numer. Math. 113, 124-155 (2017). MSC: 65M12 35L70 35G40 65M60 65M15 65M50 PDFBibTeX XMLCite \textit{M. Baccouch}, Appl. Numer. Math. 113, 124--155 (2017; Zbl 1355.65114) Full Text: DOI
Christov, C. I. On the pseudolocalized solutions in multi-dimension of Boussinesq equation. (English) Zbl 1520.35105 Math. Comput. Simul. 127, 19-27 (2016). MSC: 35L77 35C08 35Q53 PDFBibTeX XMLCite \textit{C. I. Christov}, Math. Comput. Simul. 127, 19--27 (2016; Zbl 1520.35105) Full Text: DOI arXiv
Li, Xiaolin; Zhang, Shougui; Wang, Yan; Chen, Hao Analysis and application of the element-free Galerkin method for nonlinear sine-Gordon and generalized sinh-Gordon equations. (English) Zbl 1443.65211 Comput. Math. Appl. 71, No. 8, 1655-1678 (2016). MSC: 65M60 65M15 35L71 PDFBibTeX XMLCite \textit{X. Li} et al., Comput. Math. Appl. 71, No. 8, 1655--1678 (2016; Zbl 1443.65211) Full Text: DOI
Tuckwell, Henry C. Numerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equation. (English) Zbl 1467.65097 Wave Motion 65, 130-146 (2016). MSC: 65M75 35L71 35R60 PDFBibTeX XMLCite \textit{H. C. Tuckwell}, Wave Motion 65, 130--146 (2016; Zbl 1467.65097) Full Text: DOI
Castañeda Valle, David; Mielke, Eckehard W. Relativistic soliton collisions of axion type dark matter. (English) Zbl 1365.81144 Phys. Lett., B 758, 93-97 (2016). MSC: 81V25 37N20 37K40 85A05 PDFBibTeX XMLCite \textit{D. Castañeda Valle} and \textit{E. W. Mielke}, Phys. Lett., B 758, 93--97 (2016; Zbl 1365.81144) Full Text: DOI
Kouneiher, Joseph Conceptual foundations of soliton versus particle dualities toward a topological model for matter. (English) Zbl 1342.81241 Int. J. Theor. Phys. 55, No. 6, 2949-2968 (2016). MSC: 81T10 81V25 PDFBibTeX XMLCite \textit{J. Kouneiher}, Int. J. Theor. Phys. 55, No. 6, 2949--2968 (2016; Zbl 1342.81241) Full Text: DOI
Jiwari, Ram Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions. (English) Zbl 1344.41001 Comput. Phys. Commun. 193, 55-65 (2015). MSC: 41A15 35Lxx 35C10 PDFBibTeX XMLCite \textit{R. Jiwari}, Comput. Phys. Commun. 193, 55--65 (2015; Zbl 1344.41001) Full Text: DOI
Sun, Yunchuan New exact traveling wave solutions for double sine-Gordon equation. (English) Zbl 1338.35299 Appl. Math. Comput. 258, 100-104 (2015). MSC: 35L71 35C07 PDFBibTeX XMLCite \textit{Y. Sun}, Appl. Math. Comput. 258, 100--104 (2015; Zbl 1338.35299) Full Text: DOI
Moghaderi, Hamid; Dehghan, Mehdi A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation. (English) Zbl 1335.35219 Math. Methods Appl. Sci. 38, No. 17, 3901-3922 (2015). MSC: 35Q53 65M06 65M55 65F50 PDFBibTeX XMLCite \textit{H. Moghaderi} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 38, No. 17, 3901--3922 (2015; Zbl 1335.35219) Full Text: DOI
Nitta, Muneto Non-Abelian sine-Gordon solitons. (English) Zbl 1329.35288 Nucl. Phys., B 895, 288-302 (2015). MSC: 35Q55 35C08 70S05 81T13 81V05 PDFBibTeX XMLCite \textit{M. Nitta}, Nucl. Phys., B 895, 288--302 (2015; Zbl 1329.35288) Full Text: DOI arXiv
Liu, Wenjie; Wu, Boying; Sun, Jiebao Space-time spectral collocation method for the one-dimensional sine-Gordon equation. (English) Zbl 1330.65156 Numer. Methods Partial Differ. Equations 31, No. 3, 670-690 (2015). Reviewer: Jiguang Sun (Dover) MSC: 65M70 37K40 35Q40 65M15 65M12 PDFBibTeX XMLCite \textit{W. Liu} et al., Numer. Methods Partial Differ. Equations 31, No. 3, 670--690 (2015; Zbl 1330.65156) Full Text: DOI
Sun, Yunchuan New travelling wave solutions for sine-Gordon equation. (English) Zbl 1442.35403 J. Appl. Math. 2014, Article ID 841416, 4 p. (2014). MSC: 35Q53 35L70 35C05 PDFBibTeX XMLCite \textit{Y. Sun}, J. Appl. Math. 2014, Article ID 841416, 4 p. (2014; Zbl 1442.35403) Full Text: DOI
Yang, Hongwei; Wang, Xiangrong; Yin, Baoshu On differential equations derived from the pseudospherical surfaces. (English) Zbl 1472.35343 Abstr. Appl. Anal. 2014, Article ID 381717, 9 p. (2014). MSC: 35Q53 37K35 35J91 35L71 15A69 PDFBibTeX XMLCite \textit{H. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 381717, 9 p. (2014; Zbl 1472.35343) Full Text: DOI
Gumerov, A. M.; Ekomasov, E. G.; Zakir’yanov, F. K.; Kudryavtsev, R. V. Structure and properties of four-kink multisolitons of the sine-Gordon equation. (Russian, English) Zbl 1313.35289 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 481-495 (2014); translation in Comput. Math. Math. Phys. 54, No. 3, 491-504 (2014). MSC: 35Q53 PDFBibTeX XMLCite \textit{A. M. Gumerov} et al., Zh. Vychisl. Mat. Mat. Fiz. 54, No. 3, 481--495 (2014; Zbl 1313.35289); translation in Comput. Math. Math. Phys. 54, No. 3, 491--504 (2014) Full Text: DOI
Zarmi, Yair Nonlinear quantum-mechanical system associated with sine-Gordon equation in (1 + 2) dimensions. (English) Zbl 1298.81085 J. Math. Phys. 55, No. 10, 103510, 10 p. (2014). MSC: 81Q05 35Q55 35C08 81V70 PDFBibTeX XMLCite \textit{Y. Zarmi}, J. Math. Phys. 55, No. 10, 103510, 10 p. (2014; Zbl 1298.81085) Full Text: DOI arXiv
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. Spectral and modulational stability of periodic wavetrains for the nonlinear Klein-Gordon equation. (English) Zbl 1304.35079 J. Differ. Equations 257, No. 12, 4632-4703 (2014). MSC: 35B35 37J25 70H12 35L71 35B10 PDFBibTeX XMLCite \textit{C. K. R. T. Jones} et al., J. Differ. Equations 257, No. 12, 4632--4703 (2014; Zbl 1304.35079) Full Text: DOI arXiv
Makarov, V. L.; Drahunov, D. V.; Sember, D. S. Algorithmic aspects of software realization of the FD-method for the solution of the nonlinear Klein-Gordon equation. (English. Ukrainian original) Zbl 1300.65059 J. Math. Sci., New York 197, No. 1, 77-91 (2014); translation from Neliniĭni Kolyvannya 16, No. 1, 75-89 (2013). MSC: 65M06 35Q40 65Y20 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., J. Math. Sci., New York 197, No. 1, 77--91 (2014; Zbl 1300.65059); translation from Neliniĭni Kolyvannya 16, No. 1, 75--89 (2013) Full Text: DOI
Mittal, R. C.; Bhatia, Rachna Numerical solution of nonlinear sine-Gordon equation by modified cubic B-spline collocation method. (English) Zbl 1300.65073 Int. J. Partial Differ. Equ. 2014, Article ID 343497, 8 p. (2014). MSC: 65M70 35Q40 65M60 65L06 PDFBibTeX XMLCite \textit{R. C. Mittal} and \textit{R. Bhatia}, Int. J. Partial Differ. Equ. 2014, Article ID 343497, 8 p. (2014; Zbl 1300.65073) Full Text: DOI
Li, Hao-chen; Sun, Jian-qiang; Quin, Meng-zhao New explicit multi-symplectic scheme for nonlinear wave equation. (English) Zbl 1284.65185 Appl. Math. Mech., Engl. Ed. 35, No. 3, 369-380 (2014). MSC: 65P10 35Q40 35L05 70H15 PDFBibTeX XMLCite \textit{H.-c. Li} et al., Appl. Math. Mech., Engl. Ed. 35, No. 3, 369--380 (2014; Zbl 1284.65185) Full Text: DOI
Serkin, V. N.; Hasegawa, Akira; Belyaeva, T. L. Geiger-Nuttall law for Schrödinger solitons. (English) Zbl 1356.35229 J. Mod. Opt. 60, No. 2-3, 116-127 (2013). MSC: 35Q55 35C08 81V80 PDFBibTeX XMLCite \textit{V. N. Serkin} et al., J. Mod. Opt. 60, No. 2--3, 116--127 (2013; Zbl 1356.35229) Full Text: DOI
Canfora, Fabrizio; Correa, Francisco; Giacomini, Alex; Oliva, Julio Exact meron black holes in four dimensional \(\mathrm{SU}(2)\) Einstein-Yang-Mills theory. (English) Zbl 1306.83042 Phys. Lett., B 722, No. 4-5, 364-371 (2013). MSC: 83C57 83C15 70S15 83E15 PDFBibTeX XMLCite \textit{F. Canfora} et al., Phys. Lett., B 722, No. 4--5, 364--371 (2013; Zbl 1306.83042) Full Text: DOI arXiv
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. On the stability analysis of periodic sine-Gordon traveling waves. (English) Zbl 1278.35046 Physica D 251, 63-74 (2013). MSC: 35C07 81Q05 35B35 PDFBibTeX XMLCite \textit{C. K. R. T. Jones} et al., Physica D 251, 63--74 (2013; Zbl 1278.35046) Full Text: DOI arXiv
Makarov, V. L.; Dragunov, D. V.; Sember, D. A. FD-method for solving the nonlinear Klein-Gordon equation. (English) Zbl 1277.65072 Ukr. Math. J. 64, No. 10, 1586-1609 (2013); translation from Ukr. Mat. Zh. 64, No. 10, 1394-1415 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 64, No. 10, 1586--1609 (2013; Zbl 1277.65072); translation from Ukr. Mat. Zh. 64, No. 10, 1394--1415 (2012) Full Text: DOI
Lü, Dazhao; Cui, Yanying; Liu, Changhe; Wu, Shangwen Abundant interaction solutions of sine-Gordon equation. (English) Zbl 1267.35185 J. Appl. Math. 2012, Article ID 842394, 11 p. (2012). MSC: 35Q51 35C08 68W30 PDFBibTeX XMLCite \textit{D. Lü} et al., J. Appl. Math. 2012, Article ID 842394, 11 p. (2012; Zbl 1267.35185) Full Text: DOI
Lai, Huilin; Ma, Changfeng Numerical study of the nonlinear combined sine-cosine-Gordon equation with the lattice Boltzmann method. (English) Zbl 1259.65130 J. Sci. Comput. 53, No. 3, 569-585 (2012). MSC: 65M06 76P05 82C40 35Q40 65M12 PDFBibTeX XMLCite \textit{H. Lai} and \textit{C. Ma}, J. Sci. Comput. 53, No. 3, 569--585 (2012; Zbl 1259.65130) Full Text: DOI
Jiang, Zi-Wu; Wang, Ren-Hong Numerical solution of one-dimensional Sine-Gordon equation using high accuracy multiquadric quasi-interpolation. (English) Zbl 1242.65163 Appl. Math. Comput. 218, No. 15, 7711-7716 (2012). MSC: 65M06 35Q40 65M70 PDFBibTeX XMLCite \textit{Z.-W. Jiang} and \textit{R.-H. Wang}, Appl. Math. Comput. 218, No. 15, 7711--7716 (2012; Zbl 1242.65163) Full Text: DOI
Shrivastava, Keshav N. Laughlin’s wave function and angular momentum. (English) Zbl 1333.82021 Int. J. Mod. Phys. B 25, No. 10, 1301-1357 (2011). MSC: 82C70 81V70 81Q70 82D37 82-02 PDFBibTeX XMLCite \textit{K. N. Shrivastava}, Int. J. Mod. Phys. B 25, No. 10, 1301--1357 (2011; Zbl 1333.82021) Full Text: DOI
Borhanifar, A.; Moghanlu, Ali Zamiri Application of the \((\frac{G'}{G})\)-expansion method for the Zhiber-Shabat equation and other related equations. (English) Zbl 1235.35236 Math. Comput. Modelling 54, No. 9-10, 2109-2116 (2011). MSC: 35Q51 35B10 35C07 35C08 PDFBibTeX XMLCite \textit{A. Borhanifar} and \textit{A. Z. Moghanlu}, Math. Comput. Modelling 54, No. 9--10, 2109--2116 (2011; Zbl 1235.35236) Full Text: DOI
Sari, Murat; Gürarslan, Gürhan A sixth-order compact finite difference method for the one-dimensional sine-Gordon equation. (English) Zbl 1222.65097 Int. J. Numer. Methods Biomed. Eng. 27, No. 7, 1126-1138 (2011). MSC: 65M06 65M12 35Q40 PDFBibTeX XMLCite \textit{M. Sari} and \textit{G. Gürarslan}, Int. J. Numer. Methods Biomed. Eng. 27, No. 7, 1126--1138 (2011; Zbl 1222.65097) Full Text: DOI
Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. Finite difference solution of a nonlinear Klein-Gordon equation with an external source. (English) Zbl 1215.65138 Math. Comput. 80, No. 274, 847-862 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35L70 35Q40 65M12 PDFBibTeX XMLCite \textit{G. Berikelashvili} et al., Math. Comput. 80, No. 274, 847--862 (2011; Zbl 1215.65138) Full Text: DOI
Tang, Shengqiang; Li, Chunhai; Zhang, Kelei Bifurcations of travelling wave solutions in the \((N + 1)\)-dimensional sine-cosine-Gordon equations. (English) Zbl 1222.35023 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3358-3366 (2010). MSC: 35B32 35C07 35Q35 PDFBibTeX XMLCite \textit{S. Tang} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3358--3366 (2010; Zbl 1222.35023) Full Text: DOI
Macías-Díaz, J. E.; Jerez-Galiano, S. Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations. (English) Zbl 1221.65225 Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 552-563 (2010). MSC: 65M06 35L75 PDFBibTeX XMLCite \textit{J. E. Macías-Díaz} and \textit{S. Jerez-Galiano}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 3, 552--563 (2010; Zbl 1221.65225) Full Text: DOI arXiv
Dehghan, Mehdi; Ghesmati, Arezou Application of the dual reciprocity boundary integral equation technique to solve the nonlinear Klein-Gordon equation. (English) Zbl 1219.65104 Comput. Phys. Commun. 181, No. 8, 1410-1418 (2010). MSC: 65M38 35Q40 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Ghesmati}, Comput. Phys. Commun. 181, No. 8, 1410--1418 (2010; Zbl 1219.65104) Full Text: DOI
Wei, Long A function transformation method and exact solutions to a generalized sinh-Gordon equation. (English) Zbl 1207.35226 Comput. Math. Appl. 60, No. 11, 3003-3011 (2010). MSC: 35L71 35C05 PDFBibTeX XMLCite \textit{L. Wei}, Comput. Math. Appl. 60, No. 11, 3003--3011 (2010; Zbl 1207.35226) Full Text: DOI
Mohebbi, Akbar; Dehghan, Mehdi High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods. (English) Zbl 1190.65126 Math. Comput. Modelling 51, No. 5-6, 537-549 (2010). MSC: 65M06 PDFBibTeX XMLCite \textit{A. Mohebbi} and \textit{M. Dehghan}, Math. Comput. Modelling 51, No. 5--6, 537--549 (2010; Zbl 1190.65126) Full Text: DOI
Weiner, Richard M. The mysteries of fermions. (English) Zbl 1190.81140 Int. J. Theor. Phys. 49, No. 5, 1174-1180 (2010). MSC: 81V05 81T60 PDFBibTeX XMLCite \textit{R. M. Weiner}, Int. J. Theor. Phys. 49, No. 5, 1174--1180 (2010; Zbl 1190.81140) Full Text: DOI arXiv
Heidari, Alireza; Biswas, Anjan Dynamics of relativistic solitons due to pseudo Sine-Gordon equation. (English) Zbl 1190.83086 Int. J. Theor. Phys. 49, No. 5, 1096-1105 (2010). MSC: 83E05 83A05 35Q51 35Q53 81T20 PDFBibTeX XMLCite \textit{A. Heidari} and \textit{A. Biswas}, Int. J. Theor. Phys. 49, No. 5, 1096--1105 (2010; Zbl 1190.83086) Full Text: DOI
Bougoffa, Lazhar; Khanfer, Ammar Particular solutions to equations of sine-Gordon type. (English) Zbl 1186.37074 J. Appl. Math. Comput. 32, No. 2, 303-309 (2010). MSC: 37K10 35Q51 35Q55 PDFBibTeX XMLCite \textit{L. Bougoffa} and \textit{A. Khanfer}, J. Appl. Math. Comput. 32, No. 2, 303--309 (2010; Zbl 1186.37074) Full Text: DOI
Eto, Minoru; Nakano, Eiji; Nitta, Muneto Non-Abelian global vortices. (English) Zbl 1196.81273 Nucl. Phys., B 821, No. 1-2, 129-150 (2009). MSC: 81V35 81T10 81T80 PDFBibTeX XMLCite \textit{M. Eto} et al., Nucl. Phys., B 821, No. 1--2, 129--150 (2009; Zbl 1196.81273) Full Text: DOI arXiv
Lu, Junfeng An analytical approach to the sine-Gordon equation using the modified homotopy perturbation method. (English) Zbl 1189.35182 Comput. Math. Appl. 58, No. 11-12, 2313-2319 (2009). MSC: 35L71 35B32 PDFBibTeX XMLCite \textit{J. Lu}, Comput. Math. Appl. 58, No. 11--12, 2313--2319 (2009; Zbl 1189.35182) Full Text: DOI
Alvarez, Orlando; Ferreira, L. A.; Sánchez-Guillén, J. Integrable theories and loop spaces: fundamentals, applications and new developments. (English) Zbl 1170.37329 Int. J. Mod. Phys. A 24, No. 10, 1825-1888 (2009). MSC: 37K10 37-02 55P35 35Q51 53C29 70Sxx PDFBibTeX XMLCite \textit{O. Alvarez} et al., Int. J. Mod. Phys. A 24, No. 10, 1825--1888 (2009; Zbl 1170.37329) Full Text: DOI arXiv
Bratsos, A. G. A fourth order numerical scheme for the one-dimensional sine-Gordon equation. (English) Zbl 1145.65053 Int. J. Comput. Math. 85, No. 7, 1083-1095 (2008). MSC: 65M06 35Q51 35Q53 PDFBibTeX XMLCite \textit{A. G. Bratsos}, Int. J. Comput. Math. 85, No. 7, 1083--1095 (2008; Zbl 1145.65053) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations. (English) Zbl 1155.35446 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 584-592 (2008). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 584--592 (2008; Zbl 1155.35446) Full Text: DOI
Wazwaz, Abdul-Majid A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations. (English) Zbl 1129.35455 Chaos Solitons Fractals 33, No. 2, 703-710 (2007). MSC: 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chaos Solitons Fractals 33, No. 2, 703--710 (2007; Zbl 1129.35455) Full Text: DOI
Wazwaz, Abdul-Majid The variable separated ODE method for a reliable treatment for the Liouville equation and its variants. (English) Zbl 1110.35079 Commun. Nonlinear Sci. Numer. Simul. 12, No. 4, 434-446 (2007). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 4, 434--446 (2007; Zbl 1110.35079) Full Text: DOI
Auckly, Dave; Speight, Martin Fermionic quantization and configuration spaces for the Skyrme and Faddeev-Hopf models. (English) Zbl 1130.53061 Commun. Math. Phys. 263, No. 1, 173-216 (2006). MSC: 53D50 57R15 55T99 35Q51 PDFBibTeX XMLCite \textit{D. Auckly} and \textit{M. Speight}, Commun. Math. Phys. 263, No. 1, 173--216 (2006; Zbl 1130.53061) Full Text: DOI arXiv
Lin, Fanghua; Yang, Yisong Static knot energy, Hopf charge, and universal growth law. (English) Zbl 1178.58005 Nucl. Phys., B 747, No. 3, 455-463 (2006). MSC: 58E30 58E50 PDFBibTeX XMLCite \textit{F. Lin} and \textit{Y. Yang}, Nucl. Phys., B 747, No. 3, 455--463 (2006; Zbl 1178.58005) Full Text: DOI
Wazwaz, Abdul-Majid Travelling wave solutions for the MKdV-sine-Gordon and the MKdV-sinh-Gordon equations by using a variable separated ODE method. (English) Zbl 1105.65096 Appl. Math. Comput. 181, No. 2, 1713-1719 (2006). MSC: 65M20 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 181, No. 2, 1713--1719 (2006; Zbl 1105.65096) Full Text: DOI
Wazwaz, Abdul-Majid The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations. (English) Zbl 1097.65101 Math. Comput. Simul. 72, No. 1, 1-9 (2006). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Comput. Simul. 72, No. 1, 1--9 (2006; Zbl 1097.65101) Full Text: DOI
Wazwaz, Abdul-Majid Travelling wave solutions for combined and double combined sine-cosine-Gordon equations by the variable separated ODE method. (English) Zbl 1099.65095 Appl. Math. Comput. 177, No. 2, 755-760 (2006). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 177, No. 2, 755--760 (2006; Zbl 1099.65095) Full Text: DOI
Wazwaz, Abdul-Majid The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations. (English) Zbl 1096.65104 Appl. Math. Comput. 177, No. 2, 745-754 (2006). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 177, No. 2, 745--754 (2006; Zbl 1096.65104) Full Text: DOI
Wazwaz, Abdul-Majid Exact solutions for the generalized sine-Gordon and the generalized sinh-Gordon equations. (English) Zbl 1088.35544 Chaos Solitons Fractals 28, No. 1, 127-135 (2006). MSC: 35Q53 35C05 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chaos Solitons Fractals 28, No. 1, 127--135 (2006; Zbl 1088.35544) Full Text: DOI
Saha, Bijan; Shikin, G. N. Static plane-symmetric nonlinear spinor and scalar fields in GR. (English) Zbl 1110.83017 Int. J. Theor. Phys. 44, No. 9, 1459-1494 (2005). Reviewer: Waldyr A. Rodrigues (Campinas) MSC: 83C60 83C15 PDFBibTeX XMLCite \textit{B. Saha} and \textit{G. N. Shikin}, Int. J. Theor. Phys. 44, No. 9, 1459--1494 (2005; Zbl 1110.83017) Full Text: DOI
Wazwaz, A. M. Exact solutions to the double sinh-Gordon equation by the tanh method and a variable separated ODE method. (English) Zbl 1089.35534 Comput. Math. Appl. 50, No. 10-12, 1685-1696 (2005). MSC: 35Q53 35K40 35C05 PDFBibTeX XMLCite \textit{A. M. Wazwaz}, Comput. Math. Appl. 50, No. 10--12, 1685--1696 (2005; Zbl 1089.35534) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations. (English) Zbl 1082.65585 Appl. Math. Comput. 167, No. 2, 1196-1210 (2005). MSC: 65M70 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 167, No. 2, 1196--1210 (2005; Zbl 1082.65585) Full Text: DOI
Wazwaz, Abdul-Majid The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation. (English) Zbl 1082.65584 Appl. Math. Comput. 167, No. 2, 1179-1195 (2005). MSC: 65M70 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 167, No. 2, 1179--1195 (2005; Zbl 1082.65584) Full Text: DOI
Wazwaz, Abdul-Majid The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations. (English) Zbl 1070.35076 Chaos Solitons Fractals 25, No. 1, 55-63 (2005). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chaos Solitons Fractals 25, No. 1, 55--63 (2005; Zbl 1070.35076) Full Text: DOI
Jiménez, S.; Pascual, P.; Aguierre, C.; Vázquez, L. A panoramic view of some perturbed nonlinear wave equations. (English) Zbl 1063.65082 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 1-40 (2004). MSC: 65M06 35L70 78M20 78A25 35Q60 PDFBibTeX XMLCite \textit{S. Jiménez} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 1, 1--40 (2004; Zbl 1063.65082) Full Text: DOI
Furihata, Daisuke Finite-difference schemes for nonlinear wave equation that inherit energy conservation property. (English) Zbl 0989.65099 J. Comput. Appl. Math. 134, No. 1-2, 37-57 (2001). Reviewer: Luis Vazquez (Madrid) MSC: 65M06 81Q05 81-08 35L70 35Q40 PDFBibTeX XMLCite \textit{D. Furihata}, J. Comput. Appl. Math. 134, No. 1--2, 37--57 (2001; Zbl 0989.65099) Full Text: DOI
Kopeliovich, V. B.; Stern, B. E.; Zakrzewski, W. J. Skyrmions from SU(3) harmonic maps and their quantization. (English) Zbl 1031.81553 Phys. Lett., B 492, No. 1-2, 39-46 (2000). MSC: 81T13 81V05 PDFBibTeX XMLCite \textit{V. B. Kopeliovich} et al., Phys. Lett., B 492, No. 1--2, 39--46 (2000; Zbl 1031.81553) Full Text: DOI arXiv
Saha, Bijan Solitons of scalar field with induced nonlinearity and their stability. (English) Zbl 0952.83021 Int. J. Mod. Phys. A 15, No. 10, 1481-1496 (2000). MSC: 83C50 83F05 53C15 PDFBibTeX XMLCite \textit{B. Saha}, Int. J. Mod. Phys. A 15, No. 10, 1481--1496 (2000; Zbl 0952.83021) Full Text: DOI
Cheng, Po-Jen; Venakides, Stephanos; Zhou, Xin Long-time asymptotics for the pure radiation solution of the sine-Gordon equation. (English) Zbl 0937.35154 Commun. Partial Differ. Equations 24, No. 7-8, 1195-1262 (1999). Reviewer: Aleksander Pankov (Giessen) MSC: 35Q53 35B40 PDFBibTeX XMLCite \textit{P.-J. Cheng} et al., Commun. Partial Differ. Equations 24, No. 7--8, 1195--1262 (1999; Zbl 0937.35154) Full Text: DOI
Olive, David I. Introduction to electromagnetic duality. (English) Zbl 0976.81508 Nucl. Phys., B, Proc. Suppl. 58, 43-55 (1997). MSC: 81T60 81T13 PDFBibTeX XMLCite \textit{D. I. Olive}, Nucl. Phys., B, Proc. Suppl. 58, 43--55 (1997; Zbl 0976.81508) Full Text: DOI