Huh, Hyungjin Solvability of one-dimensional semilinear hyperbolic systems and sine-Gordon equation. (English) Zbl 07759449 J. Nonlinear Math. Phys. 30, No. 3, 1264-1271 (2023). MSC: 35L71 35C05 PDF BibTeX XML Cite \textit{H. Huh}, J. Nonlinear Math. Phys. 30, No. 3, 1264--1271 (2023; Zbl 07759449) Full Text: DOI OA License
Li, Jin; Qu, Jinzheng Barycentric Lagrange interpolation collocation method for solving the sine-Gordon equation. (English) Zbl 07750123 Wave Motion 120, Article ID 103159, 23 p. (2023). MSC: 65M70 35Q53 35L05 65D05 PDF BibTeX XML Cite \textit{J. Li} and \textit{J. Qu}, Wave Motion 120, Article ID 103159, 23 p. (2023; Zbl 07750123) Full Text: DOI
Wang, Hui; Fu, Yechen Exact traveling wave solutions for the \((2+1)\)-dimensional double sine-Gordon equation using direct integral method. (English) Zbl 07741226 Appl. Math. Lett. 146, Article ID 108798, 5 p. (2023). MSC: 35Q53 35A20 35B10 35C07 35C08 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Fu}, Appl. Math. Lett. 146, Article ID 108798, 5 p. (2023; Zbl 07741226) Full Text: DOI
Alejo, Miguel A.; Muñoz, Claudio; Palacios, José M. On asymptotic stability of the sine-Gordon kink in the energy space. (English) Zbl 07719663 Commun. Math. Phys. 402, No. 1, 581-636 (2023). Reviewer: Xiaoming He (Beijing) MSC: 35Q51 35B40 35B35 35B34 35C08 37K35 35R01 PDF BibTeX XML Cite \textit{M. A. Alejo} et al., Commun. Math. Phys. 402, No. 1, 581--636 (2023; Zbl 07719663) Full Text: DOI arXiv
Kumar, Sudhir; Mittal, R. C.; Jiwari, Ram Retracted article: A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations. (English) Zbl 07716409 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 PDF BibTeX XML Cite \textit{S. Kumar} et al., Int. J. Comput. Math. 100, No. 7, 1580--1600 (2023; Zbl 07716409) Full Text: DOI
Zhang, Huiyang; Xia, Yonghui Persistence of kink and anti-kink wave solutions for the perturbed double sine-Gordon equation. (English) Zbl 1514.35401 Appl. Math. Lett. 141, Article ID 108616, 8 p. (2023). MSC: 35Q53 35C07 35B25 35C08 35Q35 PDF BibTeX XML Cite \textit{H. Zhang} and \textit{Y. Xia}, Appl. Math. Lett. 141, Article ID 108616, 8 p. (2023; Zbl 1514.35401) Full Text: DOI
Hastir, Anthony; Winkin, Joseph J.; Dochain, Denis Funnel control for a class of nonlinear infinite-dimensional systems. (English) Zbl 1519.93122 Automatica 152, Article ID 110964, 13 p. (2023). MSC: 93C40 93C35 93D25 93C10 PDF BibTeX XML Cite \textit{A. Hastir} et al., Automatica 152, Article ID 110964, 13 p. (2023; Zbl 1519.93122) Full Text: DOI arXiv
Almushaira, Mustafa Efficient energy-preserving eighth-order compact finite difference schemes for the sine-Gordon equation. (English) Zbl 07701112 Appl. Math. Comput. 451, Article ID 128039, 24 p. (2023). MSC: 65Mxx 35Qxx 65Lxx PDF BibTeX XML Cite \textit{M. Almushaira}, Appl. Math. Comput. 451, Article ID 128039, 24 p. (2023; Zbl 07701112) Full Text: DOI
Zhang, Zong-Ao; Lou, Sen-Yue Some special exact solutions in nonlocal Alice-Bob sine-Gordon systems. (English) Zbl 1516.35365 Commun. Theor. Phys. 75, No. 2, Article ID 025004, 7 p. (2023). MSC: 35Q51 35C08 PDF BibTeX XML Cite \textit{Z.-A. Zhang} and \textit{S.-Y. Lou}, Commun. Theor. Phys. 75, No. 2, Article ID 025004, 7 p. (2023; Zbl 1516.35365) Full Text: DOI
Polychrou, Giannis Solutions of the sinh-Gordon and sine-Gordon equations and applications. (English) Zbl 1518.35251 J. Elliptic Parabol. Equ. 9, No. 1, 611-625 (2023). MSC: 35J05 35J91 35A01 PDF BibTeX XML Cite \textit{G. Polychrou}, J. Elliptic Parabol. Equ. 9, No. 1, 611--625 (2023; Zbl 1518.35251) Full Text: DOI arXiv
Kiselev, V. V.; Batalov, S. V. Nonlinear interference of solitons and waves in the magnetic domain structure. (English. Russian original) Zbl 1519.35322 Theor. Math. Phys. 214, No. 3, 369-405 (2023); translation from Teor. Mat. Fiz. 214, No. 3, 427-468 (2023). MSC: 35Q82 35Q51 35Q53 82D40 82D25 35C08 35B05 33E05 PDF BibTeX XML Cite \textit{V. V. Kiselev} and \textit{S. V. Batalov}, Theor. Math. Phys. 214, No. 3, 369--405 (2023; Zbl 1519.35322); translation from Teor. Mat. Fiz. 214, No. 3, 427--468 (2023) Full Text: DOI
Gao, Min; Xu, Jiao Convergence to steady states of parabolic sine-Gordon. (English) Zbl 1514.35047 Dyn. Partial Differ. Equ. 20, No. 3, 227-248 (2023). MSC: 35B40 35B10 35K20 35K58 PDF BibTeX XML Cite \textit{M. Gao} and \textit{J. Xu}, Dyn. Partial Differ. Equ. 20, No. 3, 227--248 (2023; Zbl 1514.35047) Full Text: DOI
Hoitmetov, Umid Azadovich Integration of the sine-Gordon equation with time-dependent coefficients and an additional term. (English) Zbl 07686319 Uzb. Math. J. 67, No. 1, 31-41 (2023). MSC: 35-XX 35P25 47A40 37K15 PDF BibTeX XML Cite \textit{U. A. Hoitmetov}, Uzb. Math. J. 67, No. 1, 31--41 (2023; Zbl 07686319) Full Text: DOI
Hoitmetov, Umid On the Cauchy problem for the mKdV-sine-Gordon equation with an additional term. (English) Zbl 1516.35371 Acta Appl. Math. 184, Paper No. 7, 15 p. (2023). MSC: 35Q53 35P25 47A40 37K15 37K10 45P05 35R30 78A60 PDF BibTeX XML Cite \textit{U. Hoitmetov}, Acta Appl. Math. 184, Paper No. 7, 15 p. (2023; Zbl 1516.35371) Full Text: DOI
Levi, Mark; Zhou, Jing Arnold tongues in area-preserving maps. (English) Zbl 1512.70031 Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 32, 18 p. (2023). MSC: 70K42 70K60 35Q70 39A23 PDF BibTeX XML Cite \textit{M. Levi} and \textit{J. Zhou}, Arch. Ration. Mech. Anal. 247, No. 3, Paper No. 32, 18 p. (2023; Zbl 1512.70031) Full Text: DOI arXiv
Babu, Athira; Asharaf, Noufal Numerical solution of nonlinear sine-Gordon equation using modified cubic B-spline-based differential quadrature method. (English) Zbl 07665317 Comput. Methods Differ. Equ. 11, No. 2, 369-386 (2023). MSC: 65N06 65M22 65N22 35L10 65L06 65D07 65D30 65M12 65M06 65M15 35Q53 PDF BibTeX XML Cite \textit{A. Babu} and \textit{N. Asharaf}, Comput. Methods Differ. Equ. 11, No. 2, 369--386 (2023; Zbl 07665317) Full Text: DOI
Taherkhani, Shima; Najafi, Khalilsaraye Iraj; Ghayebi, Bakhtiyar A pseudospectral Sinc method for numerical investigation of the nonlinear time-fractional Klein-Gordon and sine-Gordon equations. (English) Zbl 07665316 Comput. Methods Differ. Equ. 11, No. 2, 357-368 (2023). MSC: 35R11 65M22 65N35 PDF BibTeX XML Cite \textit{S. Taherkhani} et al., Comput. Methods Differ. Equ. 11, No. 2, 357--368 (2023; Zbl 07665316) Full Text: DOI
Wu, Mengling; Ge, Yongbin; Wang, Zhi Explicit high-order compact difference method for solving nonlinear hyperbolic equations with three types of boundary conditions. (English) Zbl 07662982 Wave Motion 118, Article ID 103120, 17 p. (2023). MSC: 65M06 PDF BibTeX XML Cite \textit{M. Wu} et al., Wave Motion 118, Article ID 103120, 17 p. (2023; Zbl 07662982) Full Text: DOI
Clarkson, Peter A. Classical solutions of the degenerate fifth Painlevé equation. (English) Zbl 07662511 J. Phys. A, Math. Theor. 56, No. 13, Article ID 134002, 23 p. (2023). Reviewer: Mengkun Zhu (Jinan) MSC: 34M55 33E17 34A05 PDF BibTeX XML Cite \textit{P. A. Clarkson}, J. Phys. A, Math. Theor. 56, No. 13, Article ID 134002, 23 p. (2023; Zbl 07662511) Full Text: DOI arXiv
Khasanov, A. B.; Normurodov, Kh. N.; Khudaerov, U. O. Integrating the modified Korteweg-de Vries-sine-Gordon equation in the class of periodic infinite-gap functions. (English. Russian original) Zbl 1516.37100 Theor. Math. Phys. 214, No. 2, 170-182 (2023); translation from Teor. Mat. Fiz. 214, No. 2, 198-210 (2023). MSC: 37K15 35Q51 35Q53 PDF BibTeX XML Cite \textit{A. B. Khasanov} et al., Theor. Math. Phys. 214, No. 2, 170--182 (2023; Zbl 1516.37100); translation from Teor. Mat. Fiz. 214, No. 2, 198--210 (2023) Full Text: DOI
Ma, Tingting; Zheng, Qianqian; Fu, Yayun Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023). MSC: 65M06 65N06 65M12 15B05 35C08 26A33 35R11 35Q53 PDF BibTeX XML Cite \textit{T. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023; Zbl 1508.65108) Full Text: DOI
Ling, Liming; Sun, Xuan On the elliptic-localized solutions of the sine-Gordon equation. (English) Zbl 1505.35010 Physica D 444, Article ID 133597, 17 p. (2023). MSC: 35A22 35C05 35C08 PDF BibTeX XML Cite \textit{L. Ling} and \textit{X. Sun}, Physica D 444, Article ID 133597, 17 p. (2023; Zbl 1505.35010) Full Text: DOI
Deng, Dingwen; Wang, Qihong A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations. (English) Zbl 1504.65171 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106916, 30 p. (2023). MSC: 65M06 65N06 65M12 65M15 35L05 35Q53 PDF BibTeX XML Cite \textit{D. Deng} and \textit{Q. Wang}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106916, 30 p. (2023; Zbl 1504.65171) Full Text: DOI
Andrievsky, Boris; Orlov, Yury; Fradkov, Alexander L. On robustness of the speed-gradient sampled-data energy control for the sine-Gordon equation: the simpler the better. (English) Zbl 1505.93145 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106901, 13 p. (2023). MSC: 93C57 93C20 93B35 93C10 PDF BibTeX XML Cite \textit{B. Andrievsky} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106901, 13 p. (2023; Zbl 1505.93145) Full Text: DOI
Nguyen, Lu Trong Khiem; Smyth, Noel Frederick Modulation theory for radially symmetric kink waves governed by a multi-dimensional sine-Gordon equation. (English) Zbl 1505.35322 J. Nonlinear Sci. 33, No. 1, Paper No. 11, 25 p. (2023). MSC: 35Q53 35Q51 35C08 65M60 65M06 65L06 65N30 PDF BibTeX XML Cite \textit{L. T. K. Nguyen} and \textit{N. F. Smyth}, J. Nonlinear Sci. 33, No. 1, Paper No. 11, 25 p. (2023; Zbl 1505.35322) Full Text: DOI
Perjan, Andrei; Rusu, Galina Two parameter singular perturbation problems for sine-Gordon type equations. (English) Zbl 07752812 Carpathian J. Math. 38, No. 1, 201-215 (2022). MSC: 35B25 35K15 35L15 34G10 PDF BibTeX XML Cite \textit{A. Perjan} and \textit{G. Rusu}, Carpathian J. Math. 38, No. 1, 201--215 (2022; Zbl 07752812) Full Text: DOI
Ekomasov, Evgenii G.; Nazarov, Vladimir N.; Samsonov, Kirill Yu. Changing the dynamic parameters of localized breather and soliton waves in the sine-Gordon model with extended impurity, external force, and decay in the autoresonance mode. (English) Zbl 07743330 Russ. J. Nonlinear Dyn. 18, No. 2, 217-229 (2022). MSC: 35C08 35Q51 65M06 PDF BibTeX XML Cite \textit{E. G. Ekomasov} et al., Russ. J. Nonlinear Dyn. 18, No. 2, 217--229 (2022; Zbl 07743330) Full Text: DOI MNR
Shiralizadeh, Mansour; Alipanah, Amjad; Mohammadi, Maryam Numerical solution of one-dimensional sine-Gordon equation using rational radial basis functions. (English) Zbl 07694640 J. Math. Model. 10, No. 3, 387-405 (2022). MSC: 65N99 65N35 74G15 97N40 PDF BibTeX XML Cite \textit{M. Shiralizadeh} et al., J. Math. Model. 10, No. 3, 387--405 (2022; Zbl 07694640) Full Text: DOI
Uddin, M. Hafiz; Zaman, U. H. M.; Arefin, Mohammad Asif; Akbar, M. Ali Nonlinear dispersive wave propagation pattern in optical fiber system. (English) Zbl 1508.35203 Chaos Solitons Fractals 164, Article ID 112596, 10 p. (2022). MSC: 35R11 35Q53 35C08 35B06 78A60 26A33 PDF BibTeX XML Cite \textit{M. H. Uddin} et al., Chaos Solitons Fractals 164, Article ID 112596, 10 p. (2022; Zbl 1508.35203) Full Text: DOI
Martin-Vergara, Francisca; Rus, Francisco; Villatoro, Francisco R. Numerical search for the stationary quasi-breather of the graphene superlattice equation. (English) Zbl 1506.35221 Chaos Solitons Fractals 162, Article ID 112530, 11 p. (2022). MSC: 35Q60 35Q51 35C08 PDF BibTeX XML Cite \textit{F. Martin-Vergara} et al., Chaos Solitons Fractals 162, Article ID 112530, 11 p. (2022; Zbl 1506.35221) Full Text: DOI
Hoitmetov, Umid Azadovich Integration of the sine-Gordon equation with a source and an additional term. (English) Zbl 07633028 Rep. Math. Phys. 90, No. 2, 221-240 (2022). MSC: 35-XX 65-XX PDF BibTeX XML Cite \textit{U. A. Hoitmetov}, Rep. Math. Phys. 90, No. 2, 221--240 (2022; Zbl 07633028) Full Text: DOI
Singh, Suruchi; Singh, Swarn; Aggarwal, Anu Cubic B-spline method for non-linear sine-Gordon equation. (English) Zbl 1513.65425 Comput. Appl. Math. 41, No. 8, Paper No. 382, 20 p. (2022). MSC: 65M70 65M06 65N35 65D07 65M12 35Q53 PDF BibTeX XML Cite \textit{S. Singh} et al., Comput. Appl. Math. 41, No. 8, Paper No. 382, 20 p. (2022; Zbl 1513.65425) Full Text: DOI
Arora, Geeta; Joshi, Varun; Mittal, R. C. A spline-based differential quadrature approach to solve sine-Gordon equation in one and two dimension. (English) Zbl 07613768 Fractals 30, No. 7, Article ID 2250153, 14 p. (2022). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{G. Arora} et al., Fractals 30, No. 7, Article ID 2250153, 14 p. (2022; Zbl 07613768) Full Text: DOI
Yue, Xiaopeng; Fu, Yayun Efficiency energy-preserving cosine pseudo-spectral algorithms for the sine-Gordon equation with Neumann boundary conditions. (English) Zbl 1513.65428 Int. J. Comput. Math. 99, No. 12, 2367-2381 (2022). MSC: 65M70 65L05 PDF BibTeX XML Cite \textit{X. Yue} and \textit{Y. Fu}, Int. J. Comput. Math. 99, No. 12, 2367--2381 (2022; Zbl 1513.65428) Full Text: DOI
Xiang, Xiao-bo; Feng, Wei; Zhao, Song-lin Local and nonlocal complex discrete sine-Gordon equation. Solutions and continuum limits. (English. Russian original) Zbl 1515.37082 Theor. Math. Phys. 211, No. 3, 758-774 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 375-393 (2022). MSC: 37K60 37K10 39A36 39A14 PDF BibTeX XML Cite \textit{X.-b. Xiang} et al., Theor. Math. Phys. 211, No. 3, 758--774 (2022; Zbl 1515.37082); translation from Teor. Mat. Fiz. 211, No. 3, 375--393 (2022) Full Text: DOI
Kayum, Md. Abdul; Ali Akbar, M.; Osman, M. S. Stable soliton solutions to the shallow water waves and ion-acoustic waves in a plasma. (English) Zbl 1500.76111 Waves Random Complex Media 32, No. 4, 1672-1693 (2022). MSC: 76X05 35Q51 PDF BibTeX XML Cite \textit{Md. A. Kayum} et al., Waves Random Complex Media 32, No. 4, 1672--1693 (2022; Zbl 1500.76111) Full Text: DOI
Shi, Wei; Liu, Kai A dissipation-preserving integrator for damped oscillatory Hamiltonian systems. (English) Zbl 1499.65294 J. Comput. Math. 40, No. 4, 573-591 (2022). MSC: 65L05 65L07 65L20 65P10 PDF BibTeX XML Cite \textit{W. Shi} and \textit{K. Liu}, J. Comput. Math. 40, No. 4, 573--591 (2022; Zbl 1499.65294) Full Text: DOI
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 PDF BibTeX XML Cite \textit{A. T. Deresse}, Adv. Math. Phys. 2022, Article ID 6977692, 15 p. (2022; Zbl 1489.65152) Full Text: DOI
Wang, Yibo; Du, Rui; Chai, Zhenhua Lattice Boltzmann model for time-fractional nonlinear wave equations. (English) Zbl 1499.65591 Adv. Appl. Math. Mech. 14, No. 4, 914-935 (2022). MSC: 65M75 82C40 35Q20 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Wang} et al., Adv. Appl. Math. Mech. 14, No. 4, 914--935 (2022; Zbl 1499.65591) Full Text: DOI
Zhu, Shundong; Yin, Shanshan; Li, Xin Degenerate soliton and breather solutions of the modified Korteweg-de Vries-Sine Gordon equation. (English) Zbl 1487.35180 Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{S. Zhu} et al., Appl. Math. Lett. 131, Article ID 108070, 8 p. (2022; Zbl 1487.35180) Full Text: DOI
Nakazono, Nobutaka Properties of the non-autonomous lattice sine-Gordon equation: consistency around a broken cube property. (English) Zbl 1497.37092 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022). MSC: 37K60 39A36 39A14 PDF BibTeX XML Cite \textit{N. Nakazono}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 032, 8 p. (2022; Zbl 1497.37092) Full Text: DOI arXiv
Babajanov, B. A.; Babadjanova, A. K.; Azamatov, A. Sh. Integration of the differential-difference sine-Gordon equation with a self-consistent source. (English. Russian original) Zbl 1515.37072 Theor. Math. Phys. 210, No. 3, 327-336 (2022); translation from Teor. Mat. Fiz. 210, No. 3, 375-386 (2022). MSC: 37K15 35Q51 PDF BibTeX XML Cite \textit{B. A. Babajanov} et al., Theor. Math. Phys. 210, No. 3, 327--336 (2022; Zbl 1515.37072); translation from Teor. Mat. Fiz. 210, No. 3, 375--386 (2022) Full Text: DOI
Liu, Yong; Wei, Juncheng Classification of finite Morse index solutions to the elliptic sine-Gordon equation in the plane. (English) Zbl 1486.35196 Rev. Mat. Iberoam. 38, No. 2, 355-432 (2022). MSC: 35J61 35B08 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{J. Wei}, Rev. Mat. Iberoam. 38, No. 2, 355--432 (2022; Zbl 1486.35196) Full Text: DOI
Ciancio, Armando; Yel, Gulnur; Kumar, Ajay; Baskonus, Haci Mehmet; Ilhan, Esin On the complex mixed dark-bright wave distributions to some conformable nonlinear integrable models. (English) Zbl 1507.35233 Fractals 30, No. 1, Article ID 2240018, 14 p. (2022). MSC: 35Q53 35Q51 35C08 35C09 35C20 35A24 37K10 PDF BibTeX XML Cite \textit{A. Ciancio} et al., Fractals 30, No. 1, Article ID 2240018, 14 p. (2022; Zbl 1507.35233) Full Text: DOI
Catalano Ferraioli, Diego; Castro Silva, Tarcísio; Tenenblat, Keti Isometric immersions and differential equations describing pseudospherical surfaces. (English) Zbl 1508.35117 J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022). MSC: 35Q53 37K10 37K35 53A05 58J72 PDF BibTeX XML Cite \textit{D. Catalano Ferraioli} et al., J. Math. Anal. Appl. 511, No. 2, Article ID 126091, 7 p. (2022; Zbl 1508.35117) Full Text: DOI arXiv
Saleem, U.; Sarfraz, H.; Hanif, Y. Dynamics of kink-soliton solutions of the \((2+1)\)-dimensional sine-Gordon equation. (English. Russian original) Zbl 1486.81102 Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022). MSC: 81Q05 35Q55 35C08 35Q05 35P05 35P10 35A01 PDF BibTeX XML Cite \textit{U. Saleem} et al., Theor. Math. Phys. 210, No. 1, 68--84 (2022; Zbl 1486.81102); translation from Teor. Mat. Fiz. 210, No. 1, 80--98 (2022) Full Text: DOI arXiv
Parker, Ross; Kevrekidis, P. G.; Aceves, Alejandro Stationary multi-kinks in the discrete sine-Gordon equation. (English) Zbl 1487.37088 Nonlinearity 35, No. 2, 1036-1060 (2022). MSC: 37K60 37K40 39A14 39A36 PDF BibTeX XML Cite \textit{R. Parker} et al., Nonlinearity 35, No. 2, 1036--1060 (2022; Zbl 1487.37088) Full Text: DOI arXiv
Mirzaee, Farshid; Rezaei, Shadi; Samadyar, Nasrin Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations. (English) Zbl 1499.35744 Comput. Appl. Math. 41, No. 1, Paper No. 10, 16 p. (2022). MSC: 35R60 60H15 26A33 65M06 PDF BibTeX XML Cite \textit{F. Mirzaee} et al., Comput. Appl. Math. 41, No. 1, Paper No. 10, 16 p. (2022; Zbl 1499.35744) Full Text: DOI
Sabirov, K. K.; Yusupov, J. R.; Ehrhardt, M.; Matrasulov, D. U. Transparent boundary conditions for the sine-Gordon equation: modeling the reflectionless propagation of kink solitons on a line. (English) Zbl 07452188 Phys. Lett., A 423, Article ID 127822, 11 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{K. K. Sabirov} et al., Phys. Lett., A 423, Article ID 127822, 11 p. (2022; Zbl 07452188) Full Text: DOI arXiv
Liang, Zu-feng; Tang, Xiao-yan; Ding, Wei Infinitely many nonlocal symmetries and nonlocal conservation laws of the integrable modified KdV-sine-Gordon equation. (English) Zbl 1521.35160 Commun. Theor. Phys. 73, No. 5, Article ID 055003, 7 p. (2021). MSC: 35Q53 35B06 37K35 35Q51 37K10 37K06 PDF BibTeX XML Cite \textit{Z.-f. Liang} et al., Commun. Theor. Phys. 73, No. 5, Article ID 055003, 7 p. (2021; Zbl 1521.35160) Full Text: DOI
Li, Jun; Chen, Yong A physics-constrained deep residual network for solving the sine-Gordon equation. (English) Zbl 1521.37099 Commun. Theor. Phys. 73, No. 1, Article ID 015001, 5 p. (2021). MSC: 37M99 68T05 37K40 35Q51 PDF BibTeX XML Cite \textit{J. Li} and \textit{Y. Chen}, Commun. Theor. Phys. 73, No. 1, Article ID 015001, 5 p. (2021; Zbl 1521.37099) Full Text: DOI
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 PDF BibTeX XML Cite \textit{X. Cheng} et al., Numer. Math., Theory Methods Appl. 14, No. 4, 1068--1084 (2021; Zbl 1499.65379) Full Text: DOI arXiv
Macías-Díaz, J. E. Nonlinear wave transmission in harmonically driven Hamiltonian sine-Gordon regimes with memory effects. (English) Zbl 1496.65122 Chaos Solitons Fractals 142, Article ID 110362, 12 p. (2021). MSC: 65M06 35L10 PDF BibTeX XML Cite \textit{J. E. Macías-Díaz}, Chaos Solitons Fractals 142, Article ID 110362, 12 p. (2021; Zbl 1496.65122) Full Text: DOI
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 PDF BibTeX XML Cite \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
Schurz, Henri; Talafha, Abdallah M. Existence, uniqueness, and energy of approximate Fourier solutions of modified stochastic sine-Gordon equation with power-law nonlinearity in 1D. (English) Zbl 1499.35382 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 126, 22 p. (2021). MSC: 35L20 35R60 60H10 60H15 60H35 65C30 70K20 74J30 PDF BibTeX XML Cite \textit{H. Schurz} and \textit{A. M. Talafha}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 126, 22 p. (2021; Zbl 1499.35382) Full Text: DOI
Yao, Shao-Wen A rigid pendulum in a microgravity: some special properties and a two-scale fractal model. (English) Zbl 1482.35260 Fractals 29, No. 6, Article ID 2150127, 7 p. (2021). MSC: 35R11 35L71 PDF BibTeX XML Cite \textit{S.-W. Yao}, Fractals 29, No. 6, Article ID 2150127, 7 p. (2021; Zbl 1482.35260) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Xu, Zhuangzhi; Bo, Yonghui; Wang, Yushun Dissipation-preserving Fourier pseudo-spectral method for the space fractional nonlinear sine-Gordon equation with damping. (English) Zbl 07428987 Math. Comput. Simul. 188, 35-59 (2021). MSC: 65-XX 78-XX PDF BibTeX XML Cite \textit{D. Hu} et al., Math. Comput. Simul. 188, 35--59 (2021; Zbl 07428987) Full Text: DOI
Raju, Thokala Soloman Nonlinear Lorentzian-type standing wave solutions of ac-driven sine-Gordon equation. (English) Zbl 07412643 Phys. Lett., A 414, Article ID 127623, 4 p. (2021). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{T. S. Raju}, Phys. Lett., A 414, Article ID 127623, 4 p. (2021; Zbl 07412643) 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 PDF BibTeX XML Cite \textit{Z. Xing} and \textit{L. Wen}, Adv. Appl. Math. Mech. 13, No. 2, 285--295 (2021; Zbl 1488.35584) Full Text: DOI
Hovhannisyan, Gro Lax systems and nonlinear equations on a time-space scale. (English) Zbl 1498.35475 J. Math. Phys. 62, No. 9, Article ID 093503, 26 p. (2021). MSC: 35Q53 35Q51 35C08 PDF BibTeX XML Cite \textit{G. Hovhannisyan}, J. Math. Phys. 62, No. 9, Article ID 093503, 26 p. (2021; Zbl 1498.35475) 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 PDF BibTeX XML Cite \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
Liu, Kai; Fu, Ting; Shi, Wei A dissipation-preserving scheme for damped oscillatory Hamiltonian systems based on splitting. (English) Zbl 1482.65227 Appl. Numer. Math. 170, 242-254 (2021). MSC: 65P10 65L05 PDF BibTeX XML Cite \textit{K. Liu} et al., Appl. Numer. Math. 170, 242--254 (2021; Zbl 1482.65227) Full Text: DOI
Mashkin, Timur Invariant manifold of modified solitons for the perturbed sine-Gordon equation. (English) Zbl 1479.35746 Nonlinearity 34, No. 10, 6930-6962 (2021). MSC: 35Q53 35L70 35C08 35B20 35A24 35R01 PDF BibTeX XML Cite \textit{T. Mashkin}, Nonlinearity 34, No. 10, 6930--6962 (2021; Zbl 1479.35746) Full Text: DOI
Wang, Jun-Ya; Huang, Qiong-Ao A family of effective structure-preserving schemes with second-order accuracy for the undamped sine-Gordon equation. (English) Zbl 07336196 Comput. Math. Appl. 90, 38-45 (2021). MSC: 65M06 65M12 65M15 65M60 65M70 35Q53 35J15 PDF BibTeX XML Cite \textit{J.-Y. Wang} and \textit{Q.-A. Huang}, Comput. Math. Appl. 90, 38--45 (2021; Zbl 07336196) Full Text: DOI
Lohe, M. A. Solitons in complex systems of chiral fields with Kuramoto interactions. (English) Zbl 1494.35064 Chaos 31, No. 2, 023138, 13 p. (2021). MSC: 35C08 37K40 82C22 PDF BibTeX XML Cite \textit{M. A. Lohe}, Chaos 31, No. 2, 023138, 13 p. (2021; Zbl 1494.35064) Full Text: DOI
Xing, Zhiyong; Wen, Liping; Wang, Wansheng An explicit fourth-order energy-preserving difference scheme for the Riesz space-fractional sine-Gordon equations. (English) Zbl 07318238 Math. Comput. Simul. 181, 624-641 (2021). MSC: 65M06 65M12 35R11 PDF BibTeX XML Cite \textit{Z. Xing} et al., Math. Comput. Simul. 181, 624--641 (2021; Zbl 07318238) Full Text: DOI
Fu, Yayun; Cai, Wenjun; Wang, Yushun A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach. (English) Zbl 1467.65082 Appl. Numer. Math. 160, 368-385 (2021). Reviewer: Hendrik Ranocha (MÃŒnster) MSC: 65M06 65M12 35R11 35Q53 PDF BibTeX XML Cite \textit{Y. Fu} et al., Appl. Numer. Math. 160, 368--385 (2021; Zbl 1467.65082) Full Text: DOI arXiv
Xing, Zhiyong; Wen, Liping; Xiao, Hanyu A fourth-order conservative difference scheme for the Riesz space-fractional sine-Gordon equations and its fast implementation. (English) Zbl 1459.65161 Appl. Numer. Math. 159, 221-238 (2021). MSC: 65M06 65M12 65H10 65T50 15B05 35R11 35Q53 PDF BibTeX XML Cite \textit{Z. Xing} et al., Appl. Numer. Math. 159, 221--238 (2021; Zbl 1459.65161) 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 PDF BibTeX XML Cite \textit{G. Wang}, Appl. Math. Lett. 113, Article ID 106768, 7 p. (2021; Zbl 1458.35020) Full Text: DOI
Jagtap, Ameya D. On spatio-temporal dynamics of sine-Gordon soliton in nonlinear non-homogeneous media using fully implicit spectral element scheme. (English) Zbl 1455.65133 Appl. Anal. 100, No. 1, 37-60 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65M70 35C08 65M12 58J45 35L70 35L20 35Q51 PDF BibTeX XML Cite \textit{A. D. Jagtap}, Appl. Anal. 100, No. 1, 37--60 (2021; Zbl 1455.65133) Full Text: DOI
Paiva, A. Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation. (English) Zbl 1452.46031 J. Differ. Equations 270, 1196-1217 (2021). Reviewer: Denis Sidorov (Irkutsk) MSC: 46F10 35Q51 35D99 35L67 PDF BibTeX XML Cite \textit{A. Paiva}, J. Differ. Equations 270, 1196--1217 (2021; Zbl 1452.46031) Full Text: DOI
Hu, Xingbiao; Pan, Yan; Sun, Jianqing; Wang, Hui; Zhang, Yingnan Numerical evaluations of periodic wave solutions, integrable time discretization and their applications to the mKdV-sine-Gordon equation. (English) Zbl 1519.39017 J. Phys. A, Math. Theor. 53, No. 39, Article ID 394001, 23 p. (2020). MSC: 39A36 39A14 37K60 35Q53 PDF BibTeX XML Cite \textit{X. Hu} et al., J. Phys. A, Math. Theor. 53, No. 39, Article ID 394001, 23 p. (2020; Zbl 1519.39017) Full Text: DOI
Ali, Karmina K.; Yilmazer, Resat; Yokus, Asıf; Bulut, Hasan Analytical solutions for the \((3+1)\)-dimensional nonlinear extended quantum Zakharov-Kuznetsov equation in plasma physics. (English) Zbl 07530539 Physica A 548, Article ID 124327, 13 p. (2020). MSC: 82-XX PDF BibTeX XML Cite \textit{K. K. Ali} et al., Physica A 548, Article ID 124327, 13 p. (2020; Zbl 07530539) Full Text: DOI
Gao, Wei; Yel, Gulnur; Baskonus, Haci Mehmet; Cattani, Carlo Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation. (English) Zbl 1484.35377 AIMS Math. 5, No. 1, 507-521 (2020). MSC: 35R11 26A24 35C08 35Q53 PDF BibTeX XML Cite \textit{W. Gao} et al., AIMS Math. 5, No. 1, 507--521 (2020; Zbl 1484.35377) Full Text: DOI
Yel, Gulnur; Baskonus, Haci Mehmet; Gao, Wei New dark-bright soliton in the shallow water wave model. (English) Zbl 1484.35342 AIMS Math. 5, No. 4, 4027-4044 (2020). MSC: 35Q53 35Q51 35C08 37K40 76B25 PDF BibTeX XML Cite \textit{G. Yel} et al., AIMS Math. 5, No. 4, 4027--4044 (2020; Zbl 1484.35342) Full Text: DOI
Emamjomeh, M.; Abbasbandy, S.; Rostamy, D. Quasi interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein-Gordon and sine-Gordon equations. (English) Zbl 1482.65207 Iran. J. Numer. Anal. Optim. 10, No. 1, 81-106 (2020). MSC: 65N22 65L06 65N35 PDF BibTeX XML Cite \textit{M. Emamjomeh} et al., Iran. J. Numer. Anal. Optim. 10, No. 1, 81--106 (2020; Zbl 1482.65207) Full Text: DOI
Karatas, Tulin; Tasbozan, Orkun; Kurt, Ali New solutions for conformable fractional partial differential equations using first integral method. (English) Zbl 1513.35524 J. Fract. Calc. Appl. 11, No. 1, 145-150 (2020). MSC: 35R11 26A24 26A33 PDF BibTeX XML Cite \textit{T. Karatas} et al., J. Fract. Calc. Appl. 11, No. 1, 145--150 (2020; Zbl 1513.35524) Full Text: Link
Khalouta, Ali; Kadem, Abdelouahab A new efficient method for time-fractional sine-Gordon equation with the Caputo and Caputo-Fabrizio operators. (English) Zbl 1475.65158 J. Prime Res. Math. 16, No. 2, 27-43 (2020). MSC: 65M99 35R11 PDF BibTeX XML Cite \textit{A. Khalouta} and \textit{A. Kadem}, J. Prime Res. Math. 16, No. 2, 27--43 (2020; Zbl 1475.65158) Full Text: Link
Mittal, A. K. A stable time-space Jacobi pseudospectral method for two-dimensional sine-Gordon equation. (English) Zbl 07435096 J. Appl. Math. Comput. 63, No. 1-2, 239-264 (2020). MSC: 65-XX 35C07 35C11 35R11 PDF BibTeX XML Cite \textit{A. K. Mittal}, J. Appl. Math. Comput. 63, No. 1--2, 239--264 (2020; Zbl 07435096) Full Text: DOI
Abdou, M. A.; Owyed, Saud; Ray, S. Saha; Chu, Yu-Ming; Inc, Mustafa; Ouahid, Loubna Fractal ion acoustic waves of the space-time fractional three dimensional KP equation. (English) Zbl 1478.35067 Adv. Math. Phys. 2020, Article ID 8323148, 7 p. (2020). MSC: 35C05 35Q53 PDF BibTeX XML Cite \textit{M. A. Abdou} et al., Adv. Math. Phys. 2020, Article ID 8323148, 7 p. (2020; Zbl 1478.35067) Full Text: DOI
Pelinovsky, Dmitry E.; White, Robert E. Localized structures on librational and rotational travelling waves in the sine-Gordon equation. (English) Zbl 1472.35010 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200490, 18 p. (2020). MSC: 35A18 35Q53 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} and \textit{R. E. White}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2242, Article ID 20200490, 18 p. (2020; Zbl 1472.35010) Full Text: DOI arXiv
Hanif, Y.; Saleem, U. Darboux transformation and multi-soliton solutions of the discrete sine-Gordon equation. (English) Zbl 1481.39016 PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020). MSC: 39A36 37K35 37K10 37K60 35Q51 PDF BibTeX XML Cite \textit{Y. Hanif} and \textit{U. Saleem}, PTEP, Prog. Theor. Exper. Phys. 2020, No. 6, Article ID 063A01, 16 p. (2020; Zbl 1481.39016) Full Text: DOI arXiv
Yan, Jinliang; Deng, Dingwen; Lu, Fuqiang; Zhang, Zhiyue A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation. (English) Zbl 1481.65173 Appl. Math. Modelling 87, 20-41 (2020). MSC: 65M08 PDF BibTeX XML Cite \textit{J. Yan} et al., Appl. Math. Modelling 87, 20--41 (2020; Zbl 1481.65173) Full Text: DOI
Bouchriti, Anass; Pierre, Morgan; Alaa, Nour Eddine Remarks on the asymptotic behavior of scalar auxiliary variable (SAV) schemes for gradient-like flows. (English) Zbl 1468.65135 J. Appl. Anal. Comput. 10, No. 5, 2198-2219 (2020). MSC: 65M60 65M06 35B40 35Q35 35Q53 PDF BibTeX XML Cite \textit{A. Bouchriti} et al., J. Appl. Anal. Comput. 10, No. 5, 2198--2219 (2020; Zbl 1468.65135) Full Text: DOI
Adak, D.; Natarajan, S. Virtual element method for semilinear sine-Gordon equation over polygonal mesh using product approximation technique. (English) Zbl 1510.65276 Math. Comput. Simul. 172, 224-243 (2020). MSC: 65M99 35Q53 PDF BibTeX XML Cite \textit{D. Adak} and \textit{S. Natarajan}, Math. Comput. Simul. 172, 224--243 (2020; Zbl 1510.65276) Full Text: DOI arXiv
Jagtap, Ameya D. Higher order scheme for sine-Gordon equation in nonlinear non-homogeneous media. (English) Zbl 1466.65155 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 465-474 (2020). MSC: 65M70 35Q55 35C08 39A12 33C45 PDF BibTeX XML Cite \textit{A. D. Jagtap}, AIMS Ser. Appl. Math. 10, 465--474 (2020; Zbl 1466.65155)
Meng, Qing; He, Bin Bifurcation analysis and exact traveling wave solutions for a generic two-dimensional sine-Gordon equation in nonlinear optics. (English) Zbl 1455.34044 J. Appl. Anal. Comput. 10, No. 4, 1443-1463 (2020). MSC: 34C25 34C23 35C07 35L71 78A60 PDF BibTeX XML Cite \textit{Q. Meng} and \textit{B. He}, J. Appl. Anal. Comput. 10, No. 4, 1443--1463 (2020; Zbl 1455.34044) Full Text: DOI
Cheshkova, M. A. Transformation of Bianchi for Minding top. (Russian. English summary) Zbl 1455.53031 Differ. Geom. Mnogoobr. Figur 51, 135-142 (2020). MSC: 53A10 PDF BibTeX XML Cite \textit{M. A. Cheshkova}, Differ. Geom. Mnogoobr. Figur 51, 135--142 (2020; Zbl 1455.53031) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Tenreiro Machado, J. A. Numerical investigation of fractional nonlinear sine-Gordon and Klein-Gordon models arising in relativistic quantum mechanics. (English) Zbl 1464.65151 Eng. Anal. Bound. Elem. 120, 223-237 (2020). MSC: 65M70 35R11 81R20 PDF BibTeX XML Cite \textit{O. Nikan} et al., Eng. Anal. Bound. Elem. 120, 223--237 (2020; Zbl 1464.65151) Full Text: DOI
Yao, Huazhen; Zhang, Jianwen Global attractor for a class of nonlinear generalized Kirchhoff-sine-Gordon equation. (Chinese. English summary) Zbl 1463.35112 Math. Pract. Theory 50, No. 8, 208-215 (2020). MSC: 35B41 35B45 35Q53 PDF BibTeX XML Cite \textit{H. Yao} and \textit{J. Zhang}, Math. Pract. Theory 50, No. 8, 208--215 (2020; Zbl 1463.35112)
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 PDF BibTeX XML Cite \textit{F. Martin-Vergara} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105243, 14 p. (2020; Zbl 1452.65170) Full Text: DOI
Vainchtein, Anna; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Xu, Haitao Stability of traveling waves in a driven Frenkel-Kontorova model. (English) Zbl 1452.37079 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105236, 15 p. (2020). MSC: 37L60 35C07 35Q51 PDF BibTeX XML Cite \textit{A. Vainchtein} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105236, 15 p. (2020; Zbl 1452.37079) Full Text: DOI arXiv
Mashkin, Timur Solitons in the presence of a small, slowly varying perturbation. (English) Zbl 1448.35450 Appl. Anal. 99, No. 13, 2258-2279 (2020). MSC: 35Q53 35L70 35C08 53D05 PDF BibTeX XML Cite \textit{T. Mashkin}, Appl. Anal. 99, No. 13, 2258--2279 (2020; Zbl 1448.35450) Full Text: DOI arXiv
Leta, Temesgen Desta; El Achab, Abdelfattah; Liu, Wenjun; Ding, Jian Application of bifurcation method and rational sine-Gordon expansion method for solving 2D complex Ginzburg-Landau equation. (English) Zbl 1439.35455 Int. J. Mod. Phys. B 34, No. 9, Article ID 2050079, 19 p. (2020). MSC: 35Q56 35C07 35A25 PDF BibTeX XML Cite \textit{T. D. Leta} et al., Int. J. Mod. Phys. B 34, No. 9, Article ID 2050079, 19 p. (2020; Zbl 1439.35455) Full Text: DOI
Lin, Fubiao; Zhang, Qianhong A new application of the extended tanh-function method and new solutions of the Riccati equation and sine-Gordon equation. (Chinese. English summary) Zbl 1449.35009 Chin. J. Eng. Math. 37, No. 1, 56-66 (2020). MSC: 35A20 35C07 35Q53 PDF BibTeX XML Cite \textit{F. Lin} and \textit{Q. Zhang}, Chin. J. Eng. Math. 37, No. 1, 56--66 (2020; Zbl 1449.35009) 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 PDF BibTeX XML Cite \textit{O. M. L. Gomide} et al., J. Differ. Equations 269, No. 4, 3282--3346 (2020; Zbl 1439.35334) Full Text: DOI arXiv
Dolgopolik, Maksim; Fradkov, Alexander L.; Andrievsky, Boris Observer-based boundary control of the sine-Gordon model energy. (English) Zbl 1440.93091 Automatica 113, Article ID 108682, 9 p. (2020). MSC: 93B53 93C20 93B52 93C10 PDF BibTeX XML Cite \textit{M. Dolgopolik} et al., Automatica 113, Article ID 108682, 9 p. (2020; Zbl 1440.93091) Full Text: DOI arXiv
Sarfraz, H.; Saleem, U. Supersymmetric integrable AB system. (English) Zbl 1432.37091 Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020). MSC: 37K10 35Q53 37K40 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Mod. Phys. Lett. A 35, No. 6, Article ID 2050023, 7 p. (2020; Zbl 1432.37091) Full Text: DOI
van der Mee, Cornelis Complex short-pulse solutions by gauge transformation. (English) Zbl 1439.35464 J. Geom. Phys. 148, Article ID 103539, 11 p. (2020). MSC: 35Q60 35Q53 78A60 35Q40 82D40 35Q55 45L05 PDF BibTeX XML Cite \textit{C. van der Mee}, J. Geom. Phys. 148, Article ID 103539, 11 p. (2020; Zbl 1439.35464) Full Text: DOI
Goulart, Claudiano On Bäcklund and Ribaucour transformations for hyperbolic linear Weingarten surfaces. (English) Zbl 1431.53007 Bol. Soc. Parana. Mat. (3) 38, No. 1, 9-39 (2020). MSC: 53A05 53C21 53C42 35L70 35Q51 PDF BibTeX XML Cite \textit{C. Goulart}, Bol. Soc. Parana. Mat. (3) 38, No. 1, 9--39 (2020; Zbl 1431.53007) Full Text: Link