Hou, Fei; Tao, Fei; Yin, Huicheng The partial null conditions and global smooth solutions of the nonlinear wave equations on \(\mathbb{R}^d \times \mathbb{T}\) with \(d = 2, 3\). (English) Zbl 07765640 J. Differ. Equations 378, 823-870 (2024). MSC: 35L70 35L15 PDF BibTeX XML Cite \textit{F. Hou} et al., J. Differ. Equations 378, 823--870 (2024; Zbl 07765640) Full Text: DOI arXiv
Fakhretdinov, M. I.; Samsonov, K. Y.; Dmitriev, S. V.; Ekomasov, E. G. Kink dynamics in the \(\varphi^4\) model with extended impurity. (English) Zbl 07771245 Russ. J. Nonlinear Dyn. 19, No. 3, 303-320 (2023). MSC: 35C08 35L71 35Q51 PDF BibTeX XML Cite \textit{M. I. Fakhretdinov} et al., Russ. J. Nonlinear Dyn. 19, No. 3, 303--320 (2023; Zbl 07771245) Full Text: DOI MNR
Bouzenada, Abdelmalek; Boumali, Abdelmalek; Silva, Edilberto O. Applications of the Klein-Gordon equation in the Feshbach-Villars representation in the non-inertial cosmic string space-time. (English) Zbl 07765590 Ann. Phys. 458, Part 3, Article ID 169479, 14 p. (2023). MSC: 81-XX 83-XX PDF BibTeX XML Cite \textit{A. Bouzenada} et al., Ann. Phys. 458, Part 3, Article ID 169479, 14 p. (2023; Zbl 07765590) Full Text: DOI arXiv
Wibowo, Supriyadi; Suparmi, A.; Indrati, Christiana Rini; Cari, C. Approximate solution of GCF PDM Schrödinger equation for a symmetrical modified Pöschl-Teller potential by GCF Laplace transform method. (English) Zbl 07765000 Int. J. Theor. Phys. 62, No. 10, Paper No. 222, 24 p. (2023). MSC: 81Q05 34A08 26A33 PDF BibTeX XML Cite \textit{S. Wibowo} et al., Int. J. Theor. Phys. 62, No. 10, Paper No. 222, 24 p. (2023; Zbl 07765000) Full Text: DOI
Dias, Nuno Costa; Prata, João Nuno; Teofanov, Nenad Gabor products and a phase space approach to nonlinear analysis. (English) Zbl 07762702 Anal. Appl., Singap. 21, No. 6, 1417-1446 (2023). MSC: 35Q55 35Q41 42B10 42B35 81Q05 81P16 PDF BibTeX XML Cite \textit{N. C. Dias} et al., Anal. Appl., Singap. 21, No. 6, 1417--1446 (2023; Zbl 07762702) Full Text: DOI
Smirnova, E. S. Asymptotics of the solution of an initial-boundary value problem for the one-dimensional Klein-Gordon equation on the half-line. (English. Russian original) Zbl 07761793 Math. Notes 114, No. 4, 608-618 (2023); translation from Mat. Zametki 114, No. 4, 602-614 (2023). MSC: 81Qxx 35Lxx 41-XX PDF BibTeX XML Cite \textit{E. S. Smirnova}, Math. Notes 114, No. 4, 608--618 (2023; Zbl 07761793); translation from Mat. Zametki 114, No. 4, 602--614 (2023) Full Text: DOI
Jia, Junqing; Jiang, Xiaoyun Improved uniform error bounds of exponential wave integrator method for long-time dynamics of the space fractional Klein-Gordon equation with weak nonlinearity. (English) Zbl 07761546 J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023). MSC: 65-XX 35R11 35Q55 65M12 65M15 PDF BibTeX XML Cite \textit{J. Jia} and \textit{X. Jiang}, J. Sci. Comput. 97, No. 3, Paper No. 58, 30 p. (2023; Zbl 07761546) Full Text: DOI arXiv
Huang, Yi C. A reverse Ozawa-Rogers estimate. (English) Zbl 07761514 Port. Math. 80, No. 3-4, 401-405 (2023). MSC: 35B45 35L05 42B05 81Q05 PDF BibTeX XML Cite \textit{Y. C. Huang}, Port. Math. 80, No. 3--4, 401--405 (2023; Zbl 07761514) Full Text: DOI
Heß, Max; Schneider, Guido A robust way to justify the derivative NLS approximation. (English) Zbl 07754465 Z. Angew. Math. Phys. 74, No. 6, Paper No. 224, 20 p. (2023). MSC: 35Q55 35A35 35B34 35A10 35B20 35C07 35B05 PDF BibTeX XML Cite \textit{M. Heß} and \textit{G. Schneider}, Z. Angew. Math. Phys. 74, No. 6, Paper No. 224, 20 p. (2023; Zbl 07754465) Full Text: DOI OA License
Bal, Guillaume; Becker, Simon; Drouot, Alexis; Kammerer, Clotilde Fermanian; Lu, Jianfeng; Watson, Alexander B. Edge state dynamics along curved interfaces. (English) Zbl 07750759 SIAM J. Math. Anal. 55, No. 5, 4219-4254 (2023). MSC: 81Q10 81Q05 PDF BibTeX XML Cite \textit{G. Bal} et al., SIAM J. Math. Anal. 55, No. 5, 4219--4254 (2023; Zbl 07750759) Full Text: DOI arXiv
Heid, Pascal Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödinger’s equation. (English) Zbl 07750349 J. Comput. Math. 41, No. 5, 933-955 (2023). MSC: 35Q40 81Q05 65N25 65N30 65N50 PDF BibTeX XML Cite \textit{P. Heid}, J. Comput. Math. 41, No. 5, 933--955 (2023; Zbl 07750349) Full Text: DOI arXiv
Salhi, Khedidja; Tlemcani, Mounir Time-domain Green’s function associated to the interface problem for the Klein-Gordon equation. (English) Zbl 07750135 Wave Motion 121, Article ID 103181, 9 p. (2023). MSC: 35L05 35A08 35A22 35C15 PDF BibTeX XML Cite \textit{K. Salhi} and \textit{M. Tlemcani}, Wave Motion 121, Article ID 103181, 9 p. (2023; Zbl 07750135) Full Text: DOI
Wen, Ting; Sun, Jianqing Quasi-periodic waves and asymptotic behavior for a coupled nonlinear Klein-Gordon equation. (English) Zbl 07748563 Proc. Am. Math. Soc. 151, No. 12, 5265-5282 (2023). MSC: 37K40 35Q51 35B10 PDF BibTeX XML Cite \textit{T. Wen} and \textit{J. Sun}, Proc. Am. Math. Soc. 151, No. 12, 5265--5282 (2023; Zbl 07748563) Full Text: DOI
Dias, João Paulo; Frid, Hermano On short wave-long wave interactions in the relativistic context: application to the relativistic Euler equations. (English) Zbl 07747629 Commun. Math. Anal. Appl. 2, No. 3, 289-303 (2023). MSC: 35L65 35Q41 81Q05 PDF BibTeX XML Cite \textit{J. P. Dias} and \textit{H. Frid}, Commun. Math. Anal. Appl. 2, No. 3, 289--303 (2023; Zbl 07747629) Full Text: DOI arXiv
Lampart, Jonas; Le Treust, Loïc; Rota Nodari, Simona; Sabin, Julien The Dirac-Klein-Gordon system in the strong coupling limit. (Limite de couplage fort du système de Dirac-Klein-Gordon.) (English. French summary) Zbl 07747035 Ann. Henri Lebesgue 6, 541-573 (2023). MSC: 35Q40 35Q41 81Q05 81V35 47J35 35B40 PDF BibTeX XML Cite \textit{J. Lampart} et al., Ann. Henri Lebesgue 6, 541--573 (2023; Zbl 07747035) Full Text: DOI arXiv
Bashkirov, Evgeniĭ Konstantinovich Dynamics of an exactly solvable model of cavity quantum electrodynamics. (Russian. English summary) Zbl 07744578 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 2, 250-269 (2023). MSC: 81Q05 82C23 81V80 PDF BibTeX XML Cite \textit{E. K. Bashkirov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 27, No. 2, 250--269 (2023; Zbl 07744578) Full Text: DOI MNR
Simulik, V. M.; Vyikon, I. I. On the representations of Clifford and \(\mathrm{SO}(1, 9)\) algebras for 8-component Dirac equation. (English) Zbl 07739169 Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 53, 18 p. (2023). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 15A67 15A66 15A30 20C33 81R05 81R10 81Q05 PDF BibTeX XML Cite \textit{V. M. Simulik} and \textit{I. I. Vyikon}, Adv. Appl. Clifford Algebr. 33, No. 5, Paper No. 53, 18 p. (2023; Zbl 07739169) Full Text: DOI
Birkandan, Tolga Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field. (English) Zbl 07739009 Gen. Relativ. Gravitation 55, No. 8, Paper No. 88, 20 p. (2023). MSC: 83-XX PDF BibTeX XML Cite \textit{T. Birkandan}, Gen. Relativ. Gravitation 55, No. 8, Paper No. 88, 20 p. (2023; Zbl 07739009) Full Text: DOI arXiv
Kolkovska, Natalia; Dimova, Milena; Kutev, Nikolai Nonexistence of global solutions to Klein-Gordon equations with variable coefficients power-type nonlinearities. (English) Zbl 07738933 Open Math. 21, Article ID 20220584, 22 p. (2023). MSC: 35B44 35A24 35L15 35L71 PDF BibTeX XML Cite \textit{N. Kolkovska} et al., Open Math. 21, Article ID 20220584, 22 p. (2023; Zbl 07738933) Full Text: DOI
Fillion-Gourdeau, François; Lorin, Emmanuel; Maclean, Steve Inverse design of strained graphene surfaces for electron control. (English) Zbl 1519.35257 Commun. Comput. Phys. 34, No. 1, 235-260 (2023). MSC: 35Q41 81Q05 81Q20 78A05 PDF BibTeX XML Cite \textit{F. Fillion-Gourdeau} et al., Commun. Comput. Phys. 34, No. 1, 235--260 (2023; Zbl 1519.35257) Full Text: DOI arXiv
Chai, Lihui; Emmanuel, Lorin; Yang, Xu Frozen Gaussian approximation for the Dirac equation in curved space with application to strained graphene. (English) Zbl 1519.35256 Commun. Comput. Phys. 34, No. 1, 18-37 (2023). MSC: 35Q41 81Q05 81Q20 78A05 PDF BibTeX XML Cite \textit{L. Chai} et al., Commun. Comput. Phys. 34, No. 1, 18--37 (2023; Zbl 1519.35256) Full Text: DOI
Shushi, Tomer Classicality of single quantum particles in curved spacetime through the hydrodynamical reformulation of quantum mechanics. (English) Zbl 07735297 J. Phys. A, Math. Theor. 56, No. 36, Article ID 365301, 5 p. (2023). MSC: 81-XX 83-XX PDF BibTeX XML Cite \textit{T. Shushi}, J. Phys. A, Math. Theor. 56, No. 36, Article ID 365301, 5 p. (2023; Zbl 07735297) Full Text: DOI
Bentrcia, Toufik; Mennouni, Abdelaziz On the solution behavior of a nonlinear time-fractional Klein-Gordon equation: theoretical study and numerical validation. (English) Zbl 07733053 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107384, 27 p. (2023). MSC: 35R11 35A35 35L20 35L71 PDF BibTeX XML Cite \textit{T. Bentrcia} and \textit{A. Mennouni}, Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107384, 27 p. (2023; Zbl 07733053) Full Text: DOI
Maier, Daniela; Reichel, Wolfgang; Schneider, Guido Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph. (English) Zbl 07732431 J. Math. Anal. Appl. 528, No. 2, Article ID 127520, 31 p. (2023). MSC: 35Qxx 35Bxx 35Lxx PDF BibTeX XML Cite \textit{D. Maier} et al., J. Math. Anal. Appl. 528, No. 2, Article ID 127520, 31 p. (2023; Zbl 07732431) Full Text: DOI arXiv
Cai, Yongyong; Zhou, Xuanxuan Uniformly accurate nested Picard iterative integrators for the Klein-Gordon-Schrödinger equation in the nonrelativistic regime. (English) Zbl 07730433 Numer. Algorithms 94, No. 1, 371-396 (2023). MSC: 65-XX 35Q41 65M70 65N35 PDF BibTeX XML Cite \textit{Y. Cai} and \textit{X. Zhou}, Numer. Algorithms 94, No. 1, 371--396 (2023; Zbl 07730433) Full Text: DOI
Brun, Pierre Partial normal form for the semilinear Klein-Gordon equation with quadratic potentials and algebraic non-resonant masses. (English) Zbl 1521.35087 J. Dyn. Differ. Equations 35, No. 3, 2641-2675 (2023). MSC: 35J05 35J61 PDF BibTeX XML Cite \textit{P. Brun}, J. Dyn. Differ. Equations 35, No. 3, 2641--2675 (2023; Zbl 1521.35087) Full Text: DOI
Wang, Gangwei; Zhou, Qin; Alshomrani, Ali Saleh; Biswas, Anjan Explicit optical dromions with Kerr law having fractional temporal evolution. (English) Zbl 07726798 Fractals 31, No. 5, Article ID 2350056, 11 p. (2023). MSC: 35Qxx 35Cxx 37Kxx PDF BibTeX XML Cite \textit{G. Wang} et al., Fractals 31, No. 5, Article ID 2350056, 11 p. (2023; Zbl 07726798) Full Text: DOI
Badalov, V. H.; Badalov, S. V. Generalised tanh-shaped hyperbolic potential: Klein-Gordon equation’s bound state solution. (English) Zbl 1519.81175 Commun. Theor. Phys. 75, No. 7, Article ID 075003, 11 p. (2023). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{V. H. Badalov} and \textit{S. V. Badalov}, Commun. Theor. Phys. 75, No. 7, Article ID 075003, 11 p. (2023; Zbl 1519.81175) Full Text: DOI
Conte, Dajana; Frasca-Caccia, Gianluca Exponentially fitted methods with a local energy conservation law. (English) Zbl 07723890 Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023). MSC: 65M20 65M06 65P10 35Q55 81Q05 PDF BibTeX XML Cite \textit{D. Conte} and \textit{G. Frasca-Caccia}, Adv. Comput. Math. 49, No. 4, Paper No. 49, 22 p. (2023; Zbl 07723890) Full Text: DOI arXiv
Cui, Jianbo; Sun, Liying Stochastic logarithmic Schrödinger equations: energy regularized approach. (English) Zbl 1519.35288 SIAM J. Math. Anal. 55, No. 4, 3044-3080 (2023). MSC: 35Q55 35Q41 35B65 35A01 35A02 47J05 81Q05 35R60 PDF BibTeX XML Cite \textit{J. Cui} and \textit{L. Sun}, SIAM J. Math. Anal. 55, No. 4, 3044--3080 (2023; Zbl 1519.35288) Full Text: DOI arXiv
Zhu, Yongxing; Bao, Weizhu; Jian, Huaiyu Quantized vortex dynamics of the nonlinear Schrödinger equation on torus with non-vanishing momentum. (English) Zbl 07722805 Physica D 453, Article ID 133812, 13 p. (2023). MSC: 81Q05 35R01 35Q55 76M23 58E20 PDF BibTeX XML Cite \textit{Y. Zhu} et al., Physica D 453, Article ID 133812, 13 p. (2023; Zbl 07722805) Full Text: DOI arXiv
Ruzhansky, Michael; Sabitbek, Bolys Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. (English) Zbl 1519.35213 Eur. J. Math. 9, No. 3, Paper No. 61, 12 p. (2023). MSC: 35L71 35B44 35R03 PDF BibTeX XML Cite \textit{M. Ruzhansky} and \textit{B. Sabitbek}, Eur. J. Math. 9, No. 3, Paper No. 61, 12 p. (2023; Zbl 1519.35213) Full Text: DOI arXiv
Matsui, Naoki Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential. (English) Zbl 1518.35576 Tôhoku Math. J. (2) 75, No. 2, 215-232 (2023). MSC: 35Q55 35Q41 35B44 81Q05 PDF BibTeX XML Cite \textit{N. Matsui}, Tôhoku Math. J. (2) 75, No. 2, 215--232 (2023; Zbl 1518.35576) Full Text: DOI arXiv
Ashida, Sohei Structures of sets of solutions to the Hartree-Fock equation. (English) Zbl 1515.81085 Tôhoku Math. J. (2) 75, No. 2, 143-159 (2023). MSC: 81Q05 35P30 PDF BibTeX XML Cite \textit{S. Ashida}, Tôhoku Math. J. (2) 75, No. 2, 143--159 (2023; Zbl 1515.81085) Full Text: DOI arXiv
Henning, Patrick The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. (English) Zbl 1517.65103 Math. Models Methods Appl. Sci. 33, No. 7, 1517-1544 (2023). MSC: 65N25 35Q55 65N12 65N30 81Q05 PDF BibTeX XML Cite \textit{P. Henning}, Math. Models Methods Appl. Sci. 33, No. 7, 1517--1544 (2023; Zbl 1517.65103) Full Text: DOI arXiv
Ban, Ailing Fractal dimension of random attractor for a stochastic lattice system with white noise. (English) Zbl 07715947 Acta Appl. Math. 186, Paper No. 1, 15 p. (2023). MSC: 37L55 37L30 37L60 35B41 35B40 PDF BibTeX XML Cite \textit{A. Ban}, Acta Appl. Math. 186, Paper No. 1, 15 p. (2023; Zbl 07715947) Full Text: DOI
Moretti, Valter On the relativistic spatial localization for massive real scalar Klein-Gordon quantum particles. (English) Zbl 1515.81027 Lett. Math. Phys. 113, No. 3, Paper No. 66, 50 p. (2023). MSC: 81P05 81Q10 81P15 81P10 PDF BibTeX XML Cite \textit{V. Moretti}, Lett. Math. Phys. 113, No. 3, Paper No. 66, 50 p. (2023; Zbl 1515.81027) Full Text: DOI arXiv
Fermanian Kammerer, Clotilde; Gamble, Stephanie; Hari, Lysianne Propagation of coherent states through conical intersections. (English) Zbl 1518.35094 Pure Appl. Anal. 5, No. 2, 323-376 (2023). MSC: 35B40 35G35 35Q40 35Q41 81Q05 81Q20 81R30 PDF BibTeX XML Cite \textit{C. Fermanian Kammerer} et al., Pure Appl. Anal. 5, No. 2, 323--376 (2023; Zbl 1518.35094) Full Text: DOI arXiv
Carey, Alan; Gesztesy, Fritz; Levitina, Galina; Nichols, Roger; Sukochev, Fedor; Zanin, Dmitriy The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. (English) Zbl 07713957 Memoirs of the European Mathematical Society 4. Berlin: European Mathematical Society (EMS) (ISBN 978-3-98547-049-5/pbk; 978-3-98547-549-0/ebook). viii, 213 p. (2023). MSC: 81-02 35-02 81Q05 35Q41 35J10 PDF BibTeX XML Cite \textit{A. Carey} et al., The limiting absorption principle for massless Dirac operators, Properties of spectral shift functions, and an application to the Witten index of non-Fredholm operators. Berlin: European Mathematical Society (EMS) (2023; Zbl 07713957) Full Text: DOI arXiv
Guvendi, Abdullah; Dogan, Semra Gurtas Damped modes for a bosonic quantum oscillator in the near-horizon geometry of the BTZ black hole. (English) Zbl 07713073 Gen. Relativ. Gravitation 55, No. 1, Paper No. 6, 9 p. (2023). MSC: 83-XX PDF BibTeX XML Cite \textit{A. Guvendi} and \textit{S. G. Dogan}, Gen. Relativ. Gravitation 55, No. 1, Paper No. 6, 9 p. (2023; Zbl 07713073) Full Text: DOI
Wu, Hua; Gao, Qiyi A space-time spectral method for solving the nonlinear Klein-Gordon equation. (English) Zbl 07710409 Appl. Numer. Math. 190, 110-137 (2023). MSC: 65Mxx 35Qxx 65Nxx PDF BibTeX XML Cite \textit{H. Wu} and \textit{Q. Gao}, Appl. Numer. Math. 190, 110--137 (2023; Zbl 07710409) Full Text: DOI
Li, Jun; Tao, Fei; Yin, Huicheng On global smooth small data solutions of 3-D quasilinear Klein-Gordon equations on \(\mathbb{R}^2\times \mathbb{T} \). (English) Zbl 1518.35503 Commun. Pure Appl. Anal. 22, No. 6, 1810-1830 (2023). MSC: 35L72 35L15 35B45 PDF BibTeX XML Cite \textit{J. Li} et al., Commun. Pure Appl. Anal. 22, No. 6, 1810--1830 (2023; Zbl 1518.35503) Full Text: DOI
Li, Jiyong; Fang, Hongyu Improved uniform error bounds of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Schrödinger equation with the small coupling constant. (English) Zbl 07704435 Math. Comput. Simul. 212, 267-288 (2023). MSC: 65-XX 81-XX PDF BibTeX XML Cite \textit{J. Li} and \textit{H. Fang}, Math. Comput. Simul. 212, 267--288 (2023; Zbl 07704435) Full Text: DOI
Dong, Shijie The zero mass problem for Klein-Gordon equations. (English) Zbl 07704034 Commun. Contemp. Math. 25, No. 7, Article ID 2250029, 20 p. (2023). Reviewer: Ivan Naumkin (Nice) MSC: 35L71 35B40 35L52 PDF BibTeX XML Cite \textit{S. Dong}, Commun. Contemp. Math. 25, No. 7, Article ID 2250029, 20 p. (2023; Zbl 07704034) Full Text: DOI arXiv
Guo, Yantao; Fu, Yayun Two efficient exponential energy-preserving schemes for the fractional Klein-Gordon Schrödinger equation. (English) Zbl 07703835 Math. Comput. Simul. 209, 169-183 (2023). MSC: 65-XX 81-XX PDF BibTeX XML Cite \textit{Y. Guo} and \textit{Y. Fu}, Math. Comput. Simul. 209, 169--183 (2023; Zbl 07703835) Full Text: DOI
Li, Jiyong Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation. (English) Zbl 07703411 Math. Comput. Simul. 208, 398-423 (2023). MSC: 65-XX 81-XX PDF BibTeX XML Cite \textit{J. Li}, Math. Comput. Simul. 208, 398--423 (2023; Zbl 07703411) Full Text: DOI
Cai, Zhuohua; Zhang, Xiao The Dirac equation on metrics of Eguchi-Hanson type. (English) Zbl 1519.81177 Commun. Theor. Phys. 75, No. 5, Article ID 055002, 5 p. (2023). MSC: 81Q05 15A66 PDF BibTeX XML Cite \textit{Z. Cai} and \textit{X. Zhang}, Commun. Theor. Phys. 75, No. 5, Article ID 055002, 5 p. (2023; Zbl 1519.81177) Full Text: DOI arXiv
Bialynicki-Birula, Iwo; Bialynicka-Birula, Zofia Helical beams of electrons in a magnetic field: new analytic solutions of the Schrödinger and Dirac equations. (English) Zbl 07702877 J. Phys. A, Math. Theor. 56, No. 28, Article ID 285302, 12 p. (2023). MSC: 81V10 78A35 78A30 81Q05 35A09 70K42 81R20 PDF BibTeX XML Cite \textit{I. Bialynicki-Birula} and \textit{Z. Bialynicka-Birula}, J. Phys. A, Math. Theor. 56, No. 28, Article ID 285302, 12 p. (2023; Zbl 07702877) Full Text: DOI arXiv
Li, Li; Wang, Lu; Yu, Faj Some general bright soliton solutions and interactions for a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation. (English) Zbl 1514.35408 Appl. Math. Lett. 141, Article ID 108600, 8 p. (2023). MSC: 35Q55 35C08 37K40 35Q51 81Q05 PDF BibTeX XML Cite \textit{L. Li} et al., Appl. Math. Lett. 141, Article ID 108600, 8 p. (2023; Zbl 1514.35408) Full Text: DOI
Wang, Kangle New fractal soliton solutions for the coupled fractional Klein-Gordon equation with \(\beta\)-fractional derivative. (English) Zbl 1518.35651 Fractals 31, No. 1, Article ID 2350003, 10 p. (2023). MSC: 35R11 35C08 PDF BibTeX XML Cite \textit{K. Wang}, Fractals 31, No. 1, Article ID 2350003, 10 p. (2023; Zbl 1518.35651) Full Text: DOI
Liu, Jun; Yan, Weiping; Zhang, Can Stabilizability for a quasilinear Klein-Gordon-wave system with variable coefficients. (English) Zbl 1519.93165 SIAM J. Control Optim. 61, No. 3, 1651-1678 (2023). MSC: 93D05 93C20 35L05 81Q05 PDF BibTeX XML Cite \textit{J. Liu} et al., SIAM J. Control Optim. 61, No. 3, 1651--1678 (2023; Zbl 1519.93165) Full Text: DOI
Bianconi, Ginestra Dirac gauge theory for topological spinors in \(3+1\) dimensional networks. (English) Zbl 07699327 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275001, 24 p. (2023). MSC: 83C45 68Q12 81P68 90C35 39A12 81S05 35J93 78A30 81Q20 81Q05 70S15 83C10 PDF BibTeX XML Cite \textit{G. Bianconi}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275001, 24 p. (2023; Zbl 07699327) Full Text: DOI arXiv
Oh, Tadahiro; Robert, Tristan; Tzvetkov, Nikolay Stochastic nonlinear wave dynamics on compact surfaces. (Sur l’équation des ondes non-linéaire stochastique sur les surfaces compactes.) (English. French summary) Zbl 07697376 Ann. Henri Lebesgue 6, 161-223 (2023). MSC: 35L71 35L15 35R01 35R60 60H15 PDF BibTeX XML Cite \textit{T. Oh} et al., Ann. Henri Lebesgue 6, 161--223 (2023; Zbl 07697376) Full Text: DOI arXiv
Doma, S. B.; Gohar, A. A.; Younes, M. S. Analytical solutions of the molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov method. (English) Zbl 07695649 J. Math. Chem. 61, No. 6, 1301-1312 (2023). MSC: 81V55 70F05 81Q05 35A09 35P05 35P10 62H22 PDF BibTeX XML Cite \textit{S. B. Doma} et al., J. Math. Chem. 61, No. 6, 1301--1312 (2023; Zbl 07695649) Full Text: DOI
Israelsson, Anders; Mattsson, Tobias; Staubach, Wolfgang Boundedness of Fourier integral operators on classical function spaces. (English) Zbl 07694906 J. Funct. Anal. 285, No. 5, Article ID 110018, 64 p. (2023). MSC: 35S30 42B35 42B37 42B20 PDF BibTeX XML Cite \textit{A. Israelsson} et al., J. Funct. Anal. 285, No. 5, Article ID 110018, 64 p. (2023; Zbl 07694906) Full Text: DOI arXiv
Chamizo, Fernando; Santillán, Osvaldo P. About the quantum Talbot effect on the sphere. (English) Zbl 07693406 J. Phys. A, Math. Theor. 56, No. 25, Article ID 255302, 20 p. (2023). MSC: 81Q05 70M20 37E10 55Q45 35J05 42C10 11T24 PDF BibTeX XML Cite \textit{F. Chamizo} and \textit{O. P. Santillán}, J. Phys. A, Math. Theor. 56, No. 25, Article ID 255302, 20 p. (2023; Zbl 07693406) Full Text: DOI arXiv
Çelik, Zeynep Sümeyye; Gür, Şevket; Pişkin, Erhan Energy decay and blow-up of solutions for a class of system of generalized nonlinear Klein-Gordon equations with source and damping terms. (English) Zbl 1516.35071 Turk. J. Math. 47, No. 4, 1288-1305 (2023). MSC: 35B40 35B44 35L53 35L72 PDF BibTeX XML Cite \textit{Z. S. Çelik} et al., Turk. J. Math. 47, No. 4, 1288--1305 (2023; Zbl 1516.35071) Full Text: DOI
Kengne, E. Chirped nonlinear waves in the cubic-quintic distributed nonlinear Schrödinger equation with external trap, self-steepening and self-frequency shift. (English) Zbl 1516.81074 Phys. Lett., A 475, Article ID 128836, 16 p. (2023). MSC: 81Q05 35Q55 82D30 35C08 82B44 PDF BibTeX XML Cite \textit{E. Kengne}, Phys. Lett., A 475, Article ID 128836, 16 p. (2023; Zbl 1516.81074) Full Text: DOI
Carles, Rémi; Fermanian Kammerer, Clotilde; Lasser, Caroline On the Cauchy problem for the Hartree approximation in quantum dynamics. (English) Zbl 1515.81087 Nonlinearity 36, No. 6, 3158-3181 (2023). MSC: 81Q05 35A01 35J10 PDF BibTeX XML Cite \textit{R. Carles} et al., Nonlinearity 36, No. 6, 3158--3181 (2023; Zbl 1515.81087) Full Text: DOI arXiv
Garrisi, Daniele Stability and instability of standing-wave solutions to one-dimensional quadratic-cubic Klein-Gordon equations. (English) Zbl 1515.35246 J. Fixed Point Theory Appl. 25, No. 2, Paper No. 51, 19 p. (2023). MSC: 35Q55 35Q41 81Q05 47J35 35B38 34B24 PDF BibTeX XML Cite \textit{D. Garrisi}, J. Fixed Point Theory Appl. 25, No. 2, Paper No. 51, 19 p. (2023; Zbl 1515.35246) Full Text: DOI arXiv
Hebey, Emmanuel Strong convergence in Bopp-Podolsky-Proca type constructions. (English) Zbl 1516.35398 Discrete Contin. Dyn. Syst. 43, No. 6, 2371-2380 (2023). MSC: 35Q60 78A02 78A35 83A05 35G20 35G50 58J37 PDF BibTeX XML Cite \textit{E. Hebey}, Discrete Contin. Dyn. Syst. 43, No. 6, 2371--2380 (2023; Zbl 1516.35398) Full Text: DOI
Li, Buyang; Schratz, Katharina; Zivcovich, Franco A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. (English) Zbl 1516.65106 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 899-919 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 76D05 35Q30 35Q53 PDF BibTeX XML Cite \textit{B. Li} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 2, 899--919 (2023; Zbl 1516.65106) Full Text: DOI arXiv
Wu, Yifei Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension. (English) Zbl 1514.35287 Trans. Am. Math. Soc. 376, No. 6, 4085-4103 (2023). MSC: 35L71 35B35 PDF BibTeX XML Cite \textit{Y. Wu}, Trans. Am. Math. Soc. 376, No. 6, 4085--4103 (2023; Zbl 1514.35287) Full Text: DOI arXiv
Cunanan, Jayson; Shiraki, Shobu Some sharp null-form type estimates for the Klein-Gordon equation. (English) Zbl 1514.35069 J. Math. Soc. Japan 75, No. 2, 573-601 (2023). MSC: 35B45 35A23 42B37 PDF BibTeX XML Cite \textit{J. Cunanan} and \textit{S. Shiraki}, J. Math. Soc. Japan 75, No. 2, 573--601 (2023; Zbl 1514.35069) Full Text: DOI arXiv
Wang, Jialing; Zhou, Zhengting; Wang, Yushun Local structure-preserving algorithms for the Klein-Gordon-Zakharov equation. (English) Zbl 1515.65313 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1211-1238 (2023). MSC: 65P10 65M06 65M12 PDF BibTeX XML Cite \textit{J. Wang} et al., Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 3, 1211--1238 (2023; Zbl 1515.65313) Full Text: DOI
Demeio, Lucio; Lenci, Stefano Wave propagation on a string resting on a general nonlinear substrate. (English) Zbl 1512.35025 SIAM J. Appl. Math. 83, No. 1, 1-24 (2023). MSC: 35B10 35C07 35L71 74J30 PDF BibTeX XML Cite \textit{L. Demeio} and \textit{S. Lenci}, SIAM J. Appl. Math. 83, No. 1, 1--24 (2023; Zbl 1512.35025) Full Text: DOI
Jalalzadeh, Shahram Intrinsic quantum dynamics of particles in brane gravity. (English) Zbl 07680955 Ann. Phys. 452, Article ID 169291, 18 p. (2023). MSC: 83E30 53C22 83C45 83E15 81Q05 58C15 81S07 81U26 47A10 PDF BibTeX XML Cite \textit{S. Jalalzadeh}, Ann. Phys. 452, Article ID 169291, 18 p. (2023; Zbl 07680955) Full Text: DOI arXiv
Alouini, Brahim; Hajaiej, Hichem Dynamics of dipolar quantum droplets in an extended Gross-Pitaevskii equation in the presence of time-dependent harmonic trapping potential and a damping term. (English) Zbl 1512.35526 Anal. Appl., Singap. 21, No. 3, 651-676 (2023). MSC: 35Q55 35Q41 35Q40 35E15 35B40 35A01 35B45 82C10 81Q05 PDF BibTeX XML Cite \textit{B. Alouini} and \textit{H. Hajaiej}, Anal. Appl., Singap. 21, No. 3, 651--676 (2023; Zbl 1512.35526) Full Text: DOI
Sacchetti, Andrea Quantum forced oscillator via Wigner transform. (English) Zbl 1515.81094 Boll. Unione Mat. Ital. 16, No. 1, 103-134 (2023). MSC: 81Q05 81S30 44A15 PDF BibTeX XML Cite \textit{A. Sacchetti}, Boll. Unione Mat. Ital. 16, No. 1, 103--134 (2023; Zbl 1515.81094) Full Text: DOI arXiv
Reddiger, Maik; Poirier, Bill Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon. (English) Zbl 07680156 J. Phys. A, Math. Theor. 56, No. 19, Article ID 193001, 63 p. (2023). MSC: 81Q05 14D15 70L10 81Q70 81S10 PDF BibTeX XML Cite \textit{M. Reddiger} and \textit{B. Poirier}, J. Phys. A, Math. Theor. 56, No. 19, Article ID 193001, 63 p. (2023; Zbl 07680156) Full Text: DOI
Hamano, Masaru; Ikeda, Masahiro Stability and instability of radial standing waves to NLKG equation with an inverse-square potential. (English) Zbl 1512.35028 NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 39, 32 p. (2023). MSC: 35B15 35A15 35B35 35L15 35L71 PDF BibTeX XML Cite \textit{M. Hamano} and \textit{M. Ikeda}, NoDEA, Nonlinear Differ. Equ. Appl. 30, No. 3, Paper No. 39, 32 p. (2023; Zbl 1512.35028) Full Text: DOI arXiv
Jahnke, Tobias; Kirn, Michael On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation. (English) Zbl 1512.35502 BIT 63, No. 2, Paper No. 26, 28 p. (2023). MSC: 35Q41 81Q05 65M12 65M15 65M70 65D32 PDF BibTeX XML Cite \textit{T. Jahnke} and \textit{M. Kirn}, BIT 63, No. 2, Paper No. 26, 28 p. (2023; Zbl 1512.35502) Full Text: DOI
Taş, Halit; Küçükevcilioğlu, Yelda Aygar; Bayram, Elgiz Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions. (English) Zbl 1509.34093 Turk. J. Math. 47, No. 2, 721-731 (2023). MSC: 34L25 34L05 34K10 PDF BibTeX XML Cite \textit{H. Taş} et al., Turk. J. Math. 47, No. 2, 721--731 (2023; Zbl 1509.34093) Full Text: DOI
Epp, Vladimir; Guselnikova, Ulyana The angular momentum of electron radiation in a uniform magnetic field. (English) Zbl 1521.81065 Phys. Lett., A 469, Article ID 128764, 6 p. (2023). MSC: 81Q05 81R25 76M23 70M20 81V10 78A35 78A40 81V80 PDF BibTeX XML Cite \textit{V. Epp} and \textit{U. Guselnikova}, Phys. Lett., A 469, Article ID 128764, 6 p. (2023; Zbl 1521.81065) Full Text: DOI arXiv
Bhatia, Sanjana; Goyal, Amit; Jana, Soumendu; Kumar, C. N. Stationary hypergeometric solitons and their stability in a Bose-Einstein condensate with \(\mathcal{PT}\)-symmetric potential. (English) Zbl 1521.81062 Phys. Lett., A 469, Article ID 128751, 7 p. (2023). MSC: 81Q05 35Q55 81V73 82C26 70H05 58J53 PDF BibTeX XML Cite \textit{S. Bhatia} et al., Phys. Lett., A 469, Article ID 128751, 7 p. (2023; Zbl 1521.81062) Full Text: DOI
Nfor, Nkeh Oma; Yamgoué, Serge Bruno Modulational instability and discrete localized modes in two coupled atomic chains with next-nearest-neighbor interactions. (English) Zbl 1509.82029 J. Nonlinear Math. Phys. 30, No. 1, 71-91 (2023). MSC: 82B20 34C15 70K50 PDF BibTeX XML Cite \textit{N. O. Nfor} and \textit{S. B. Yamgoué}, J. Nonlinear Math. Phys. 30, No. 1, 71--91 (2023; Zbl 1509.82029) Full Text: DOI
Carles, Rémi; Su, Chunmei Numerical study of the logarithmic Schrödinger equation with repulsive harmonic potential. (English) Zbl 1518.35571 Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3136-3159 (2023). Reviewer: Xiaoming He (Beijing) MSC: 35Q55 35Q41 35B05 35B40 65M70 65T50 65N35 65M15 35C08 81Q05 PDF BibTeX XML Cite \textit{R. Carles} and \textit{C. Su}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3136--3159 (2023; Zbl 1518.35571) Full Text: DOI arXiv
Finster, Felix; Paganini, Claudio F. Incompatibility of frequency splitting and spatial localization: a quantitative analysis of Hegerfeldt’s theorem. (English) Zbl 1511.35229 Ann. Henri Poincaré 24, No. 2, 413-467 (2023). MSC: 35L05 35L15 42A38 PDF BibTeX XML Cite \textit{F. Finster} and \textit{C. F. Paganini}, Ann. Henri Poincaré 24, No. 2, 413--467 (2023; Zbl 1511.35229) Full Text: DOI arXiv
Ammari, Zied; Falconi, Marco; Olivieri, Marco Semiclassical analysis of quantum asymptotic fields in the Yukawa theory. (English) Zbl 1521.81136 J. Differ. Equations 357, 236-274 (2023). MSC: 81T05 81T08 81Q20 35P25 PDF BibTeX XML Cite \textit{Z. Ammari} et al., J. Differ. Equations 357, 236--274 (2023; Zbl 1521.81136) Full Text: DOI arXiv
Bian, Shasha; Cheng, Yue; Guo, Boling; Wang, Tingchun Error estimate of a new conservative finite difference scheme for the Klein-Gordon-Dirac system. (English) Zbl 07672345 Numer. Math., Theory Methods Appl. 16, No. 1, 140-164 (2023). MSC: 65M06 65M12 65M15 35Q41 81V10 65N06 81-08 PDF BibTeX XML Cite \textit{S. Bian} et al., Numer. Math., Theory Methods Appl. 16, No. 1, 140--164 (2023; Zbl 07672345) Full Text: DOI
Watson, Alexander B.; Kong, Tianyu; MacDonald, Allan H.; Luskin, Mitchell Bistritzer-Macdonald dynamics in twisted bilayer graphene. (English) Zbl 1511.82042 J. Math. Phys. 64, No. 3, Article ID 031502, 38 p. (2023). MSC: 82D20 35J10 81V70 82D25 81Q05 PDF BibTeX XML Cite \textit{A. B. Watson} et al., J. Math. Phys. 64, No. 3, Article ID 031502, 38 p. (2023; Zbl 1511.82042) Full Text: DOI arXiv
Melezhik, Vladimir S. Quantum-quasiclassical analysis of center-of-mass nonseparability in hydrogen atom stimulated by strong laser fields. (English) Zbl 1521.81071 J. Phys. A, Math. Theor. 56, No. 15, Article ID 154003, 15 p. (2023). MSC: 81Q05 81V45 70H05 78A60 39A12 37D30 47A10 PDF BibTeX XML Cite \textit{V. S. Melezhik}, J. Phys. A, Math. Theor. 56, No. 15, Article ID 154003, 15 p. (2023; Zbl 1521.81071) Full Text: DOI arXiv
Ceruti, Gianluca; Lubich, Christian; Sulz, Dominik Rank-adaptive time integration of tree tensor networks. (English) Zbl 1511.65064 SIAM J. Numer. Anal. 61, No. 1, 194-222 (2023). MSC: 65L05 65L20 65L70 81Q05 PDF BibTeX XML Cite \textit{G. Ceruti} et al., SIAM J. Numer. Anal. 61, No. 1, 194--222 (2023; Zbl 1511.65064) Full Text: DOI arXiv
Quesne, C. Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere. (English) Zbl 1521.81073 Ann. Phys. 451, Article ID 169265, 20 p. (2023). MSC: 81Q05 78A25 55Q45 81Q80 81Q60 70H45 22E70 35P10 PDF BibTeX XML Cite \textit{C. Quesne}, Ann. Phys. 451, Article ID 169265, 20 p. (2023; Zbl 1521.81073) Full Text: DOI arXiv
Dong, Shi-Hai; Quezada, L. F.; Chung, W. S.; Sedaghatnia, P.; Hassanabadi, H. Exact solutions of the generalized Dunkl oscillator in the Cartesian system. (English) Zbl 1521.81064 Ann. Phys. 451, Article ID 169259, 9 p. (2023). MSC: 81Q05 14D15 35P10 PDF BibTeX XML Cite \textit{S.-H. Dong} et al., Ann. Phys. 451, Article ID 169259, 9 p. (2023; Zbl 1521.81064) Full Text: DOI
Guan, Wen; Rădulescu, Vicenţiu D.; Wang, Da-Bin Bound states of fractional Choquard equations with Hardy-Littlewood-Sobolev critical exponent. (English) Zbl 1512.35618 J. Differ. Equations 355, 219-247 (2023). MSC: 35R11 35A15 35B33 35B38 35J61 47H11 58E30 81Q05 PDF BibTeX XML Cite \textit{W. Guan} et al., J. Differ. Equations 355, 219--247 (2023; Zbl 1512.35618) Full Text: DOI
Perepelkin, E. E.; Sadovnikov, B. I.; Inozemtseva, N. G.; Korepanova, A. A. Dispersion chain of quantum mechanics equations. (English) Zbl 1521.81072 J. Phys. A, Math. Theor. 56, No. 14, Article ID 145202, 42 p. (2023). MSC: 81Q05 81S30 81U30 35Q83 51J15 62G32 78A40 70H20 35Q61 PDF BibTeX XML Cite \textit{E. E. Perepelkin} et al., J. Phys. A, Math. Theor. 56, No. 14, Article ID 145202, 42 p. (2023; Zbl 1521.81072) Full Text: DOI arXiv
Tritt, Alex; Morris, Joshua; Hochstetter, Joel; Anderson, R. P.; Saunderson, James; Turner, L. D. Spinsim: a GPU optimized Python package for simulating spin-half and spin-one quantum systems. (English) Zbl 1521.81500 Comput. Phys. Commun. 287, Article ID 108701, 12 p. (2023). MSC: 81V72 81Q05 35Q41 41A58 65D30 81Q93 81-10 PDF BibTeX XML Cite \textit{A. Tritt} et al., Comput. Phys. Commun. 287, Article ID 108701, 12 p. (2023; Zbl 1521.81500) Full Text: DOI arXiv
Masoudi, Yousef; Nadjafikhah, Mehdi; Toomanian, Megerdich Applying moving frames to finding conservation laws of the nonlinear Klein-Gordon equation. (English) Zbl 07665319 Comput. Methods Differ. Equ. 11, No. 2, 399-411 (2023). MSC: 35Q53 PDF BibTeX XML Cite \textit{Y. Masoudi} et al., Comput. Methods Differ. Equ. 11, No. 2, 399--411 (2023; Zbl 07665319) 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
Tarate, Shivaji Ashok; Bhadane, Ashok P.; Gaikwad, Shrikisan B.; Kshirsagar, Kishor Ashok Solution of time-fractional equations via Sumudu-Adomian decomposition method. (English) Zbl 07665315 Comput. Methods Differ. Equ. 11, No. 2, 345-356 (2023). MSC: 35R11 26A33 33E12 PDF BibTeX XML Cite \textit{S. A. Tarate} et al., Comput. Methods Differ. Equ. 11, No. 2, 345--356 (2023; Zbl 07665315) 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
Li, Weijia; Liu, Jun; Yan, Weiping Global stability dynamics of the quasilinear damped Klein-Gordon equation with variable coefficients. (English) Zbl 1515.81092 J. Geom. Anal. 33, No. 4, Paper No. 122, 41 p. (2023). MSC: 81Q05 37L15 35L05 35B35 PDF BibTeX XML Cite \textit{W. Li} et al., J. Geom. Anal. 33, No. 4, Paper No. 122, 41 p. (2023; Zbl 1515.81092) Full Text: DOI
Germain, Pierre; Pusateri, Fabio; Zhang, Katherine Zhiyuan On 1d quadratic Klein-Gordon equations with a potential and symmetries. (English) Zbl 1508.35120 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023). MSC: 35Q53 35B65 35J10 35P25 35L71 PDF BibTeX XML Cite \textit{P. Germain} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 17, 39 p. (2023; Zbl 1508.35120) Full Text: DOI arXiv
Mugnolo, Delio; Pivovarchik, Vyacheslav Distinguishing cospectral quantum graphs by scattering. (English) Zbl 1519.81188 J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023). MSC: 81Q05 05C12 81U05 05C69 35P10 81Q35 PDF BibTeX XML Cite \textit{D. Mugnolo} and \textit{V. Pivovarchik}, J. Phys. A, Math. Theor. 56, No. 9, Article ID 095201, 18 p. (2023; Zbl 1519.81188) Full Text: DOI arXiv
Dennis, Mark R.; Tijssen, Teuntje; Morgan, Michael A. On the Majorana representation of the optical Dirac equation. (English) Zbl 1510.78046 J. Phys. A, Math. Theor. 56, No. 2, Article ID 024004, 13 p. (2023). MSC: 78A60 78A25 35Q41 35Q61 81V80 81Q05 81R25 PDF BibTeX XML Cite \textit{M. R. Dennis} et al., J. Phys. A, Math. Theor. 56, No. 2, Article ID 024004, 13 p. (2023; Zbl 1510.78046) Full Text: DOI arXiv
Tao, Fei; Yin, Huicheng Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space \(\mathbb{R}^3 \times \mathbb{T}\). (English) Zbl 07657071 J. Differ. Equations 352, 67-121 (2023). MSC: 35L72 35L15 35L65 35L67 PDF BibTeX XML Cite \textit{F. Tao} and \textit{H. Yin}, J. Differ. Equations 352, 67--121 (2023; Zbl 07657071) Full Text: DOI
Fioravanti, Davide; Rossi, Marco On the origin of the correspondence between classical and quantum integrable theories. (English) Zbl 1519.81184 Phys. Lett., B 838, Article ID 137706, 10 p. (2023). MSC: 81Q05 34L25 81R12 81Q40 35Q55 81Q60 70S15 81U05 81Q30 82B20 82B23 PDF BibTeX XML Cite \textit{D. Fioravanti} and \textit{M. Rossi}, Phys. Lett., B 838, Article ID 137706, 10 p. (2023; Zbl 1519.81184) Full Text: DOI arXiv
Ichinose, Wataru On the mathematical formulation of the restricted Feynman path integrals through broken line paths. (English) Zbl 1516.46053 Osaka J. Math. 60, No. 1, 105-132 (2023). MSC: 46T12 81P15 81Q05 81S40 PDF BibTeX XML Cite \textit{W. Ichinose}, Osaka J. Math. 60, No. 1, 105--132 (2023; Zbl 1516.46053) Full Text: arXiv Link
Hitchin, Nigel J. A note on coupled Dirac operators. (English) Zbl 07648409 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 003, 9 p. (2023). Reviewer: Michail Savvas (Austin) MSC: 81T13 53C07 14D20 81Q05 81T45 81T32 81S10 PDF BibTeX XML Cite \textit{N. J. Hitchin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 003, 9 p. (2023; Zbl 07648409) Full Text: DOI arXiv