Branquinho, Amílcar; Foulquié Moreno, Ana; Mañas, Manuel Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective. (English) Zbl 07310648 J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021). Reviewer: Vladimir P. Kostov (Nice) MSC: 37K20 37K60 39A36 37J70 37J65 33C47 33E17 34M55 34M50 15A16 PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 494, No. 2, Article ID 124605, 36 p. (2021; Zbl 07310648) Full Text: DOI
Doliwa, Adam; Noumi, Masatoshi The Coxeter relations and KP map for non-commuting symbols. (English) Zbl 07305695 Lett. Math. Phys. 110, No. 10, 2743-2762 (2020). MSC: 37K10 37K60 16T25 39A14 14E07 12E15 PDF BibTeX XML Cite \textit{A. Doliwa} and \textit{M. Noumi}, Lett. Math. Phys. 110, No. 10, 2743--2762 (2020; Zbl 07305695) Full Text: DOI
Nagai, Hidetomo An ultradiscrete permanent solution to the ultradiscrete two-dimensional Toda equation. (English) Zbl 07304007 RIMS Kôkyûroku Bessatsu B78, 199-209 (2020). MSC: 37K60 37J70 PDF BibTeX XML Cite \textit{H. Nagai}, RIMS Kôkyûroku Bessatsu B78, 199--209 (2020; Zbl 07304007) Full Text: Link
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 07304001 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDF BibTeX XML Cite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 07304001) Full Text: Link
Lee, Eunghyun Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process. (English) Zbl 07302824 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 139, 9 p. (2020). MSC: 82C22 60J27 PDF BibTeX XML Cite \textit{E. Lee}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 139, 9 p. (2020; Zbl 07302824) Full Text: DOI
Wattis, Jonathan A. D.; Alzaidi, Ahmed S. M. Asymptotic analysis of breather modes in a two-dimensional mechanical lattice. (English) Zbl 07302384 Physica D 401, Article ID 132207, 14 p. (2020). MSC: 37K60 37K40 PDF BibTeX XML Cite \textit{J. A. D. Wattis} and \textit{A. S. M. Alzaidi}, Physica D 401, Article ID 132207, 14 p. (2020; Zbl 07302384) Full Text: DOI
Osipov, Andrey S. Inverse spectral problems for second-order difference operators and their application to the study of Volterra type systems. (English) Zbl 07291909 Nelineĭn. Din. 16, No. 3, 397-419 (2020). MSC: 37J70 37J35 37K15 47B39 47B36 39A70 39A36 PDF BibTeX XML Cite \textit{A. S. Osipov}, Nelineĭn. Din. 16, No. 3, 397--419 (2020; Zbl 07291909) Full Text: DOI MNR
Garifullin, R. N.; Yamilov, R. I. Modified series of integrable discrete equations on a quadratic lattice with a nonstandard symmetry structure. (English. Russian original) Zbl 07284342 Theor. Math. Phys. 205, No. 1, 1264-1278 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 23-40 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 37K06 PDF BibTeX XML Cite \textit{R. N. Garifullin} and \textit{R. I. Yamilov}, Theor. Math. Phys. 205, No. 1, 1264--1278 (2020; Zbl 07284342); translation from Teor. Mat. Fiz. 205, No. 1, 23--40 (2020) Full Text: DOI
Nepomechie, Rafael I. The \(A_m^{(1)}\) Q-system. (English) Zbl 1448.81360 Mod. Phys. Lett. A 35, No. 31, Article ID 2050260, 12 p. (2020). MSC: 81R12 82B23 PDF BibTeX XML Cite \textit{R. I. Nepomechie}, Mod. Phys. Lett. A 35, No. 31, Article ID 2050260, 12 p. (2020; Zbl 1448.81360) Full Text: DOI
Bountis, Anastasios; Veerman, J. J. P.; Vivaldi, Franco Cauchy distributions for the integrable standard map. (English) Zbl 1448.37077 Phys. Lett., A 384, No. 26, Article ID 126659, 3 p. (2020). MSC: 37J70 70H08 PDF BibTeX XML Cite \textit{A. Bountis} et al., Phys. Lett., A 384, No. 26, Article ID 126659, 3 p. (2020; Zbl 1448.37077) Full Text: DOI
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn Discrete symmetries and nonlocal reductions. (English) Zbl 1448.37065 Phys. Lett., A 384, No. 3, Article ID 126065, 5 p. (2020). MSC: 37J35 37K06 PDF BibTeX XML Cite \textit{M. Gürses} et al., Phys. Lett., A 384, No. 3, Article ID 126065, 5 p. (2020; Zbl 1448.37065) Full Text: DOI
Cheng, Jipeng; He, Jingsong The full Virasoro symmetry for the constrained discrete KP hierarchy. (Chinese. English summary) Zbl 07266432 Chin. Ann. Math., Ser. A 41, No. 1, 17-38 (2020). MSC: 37K05 37K10 PDF BibTeX XML Cite \textit{J. Cheng} and \textit{J. He}, Chin. Ann. Math., Ser. A 41, No. 1, 17--38 (2020; Zbl 07266432) Full Text: DOI
Dubrovin, Boris; Liu, Si-Qi; Yang, Di; Zhang, Youjin Hodge-GUE correspondence and the discrete KdV equation. (English) Zbl 07258560 Commun. Math. Phys. 379, No. 2, 461-490 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K20 37K60 37K25 37K10 39A36 58A14 PDF BibTeX XML Cite \textit{B. Dubrovin} et al., Commun. Math. Phys. 379, No. 2, 461--490 (2020; Zbl 07258560) Full Text: DOI
Zheltukhin, Kostyantyn; Zheltukhina, Natalya On the discretization of Darboux integrable systems. (English) Zbl 1441.37078 J. Nonlinear Math. Phys. 27, No. 4, 616-632 (2020). MSC: 37K10 37K60 PDF BibTeX XML Cite \textit{K. Zheltukhin} and \textit{N. Zheltukhina}, J. Nonlinear Math. Phys. 27, No. 4, 616--632 (2020; Zbl 1441.37078) Full Text: DOI
Ovenhouse, Nicholas Non-commutative integrability of the Grassmann pentagram map. (English) Zbl 07243317 Adv. Math. 373, Article ID 107309, 56 p. (2020). MSC: 37J70 39A36 53D30 53D17 17B63 17B80 PDF BibTeX XML Cite \textit{N. Ovenhouse}, Adv. Math. 373, Article ID 107309, 56 p. (2020; Zbl 07243317) Full Text: DOI
Galashin, Pavel; Pylyavskyy, Pavlo Quivers with subadditive labelings: classification and integrability. (English) Zbl 1451.13067 Math. Z. 295, No. 3-4, 945-992 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 37K10 05E99 PDF BibTeX XML Cite \textit{P. Galashin} and \textit{P. Pylyavskyy}, Math. Z. 295, No. 3--4, 945--992 (2020; Zbl 1451.13067) Full Text: DOI
Prokofev, V. V.; Zabrodin, A. V. Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079 Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020). MSC: 37K10 37J35 37J70 37K60 39A36 PDF BibTeX XML Cite \textit{V. V. Prokofev} and \textit{A. V. Zabrodin}, Proc. Steklov Inst. Math. 309, 225--239 (2020; Zbl 1448.37079); translation from Tr. Mat. Inst. Steklova 309, 241--256 (2020) Full Text: DOI
Viviani, Milo A minimal-variable symplectic method for isospectral flows. (English) Zbl 1448.37107 BIT 60, No. 3, 741-758 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 37M15 37J35 37J70 65P10 53D20 70H06 PDF BibTeX XML Cite \textit{M. Viviani}, BIT 60, No. 3, 741--758 (2020; Zbl 1448.37107) Full Text: DOI
McCarthy, Philip James; Nielsen, Christopher Global stability of a class of difference equations on solvable Lie algebras. (English) Zbl 07233383 Math. Control Signals Syst. 32, No. 2, 177-208 (2020). MSC: 17B30 17B80 39A30 93D05 93D20 PDF BibTeX XML Cite \textit{P. J. McCarthy} and \textit{C. Nielsen}, Math. Control Signals Syst. 32, No. 2, 177--208 (2020; Zbl 07233383) Full Text: DOI
Deng, Guo; Biondini, Gino; Sen, Surajit Interactions of solitary waves in integrable and nonintegrable lattices. (English) Zbl 1450.37067 Chaos 30, No. 4, 043101, 7 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37K60 37K40 39A12 39A36 PDF BibTeX XML Cite \textit{G. Deng} et al., Chaos 30, No. 4, 043101, 7 p. (2020; Zbl 1450.37067) Full Text: DOI
Menz, Georg; Tassy, Martin A variational principle for a non-integrable model. (English) Zbl 1446.82017 Probab. Theory Relat. Fields 177, No. 3-4, 747-822 (2020). MSC: 82B20 82B30 82B41 60J10 05C05 PDF BibTeX XML Cite \textit{G. Menz} and \textit{M. Tassy}, Probab. Theory Relat. Fields 177, No. 3--4, 747--822 (2020; Zbl 1446.82017) Full Text: DOI
Noumi, Masatoshi; Ruijsenaars, Simon; Yamada, Yasuhiko The elliptic Painlevé Lax equation vs. van Diejen’s 8-coupling elliptic Hamiltonian. (English) Zbl 07227208 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020). MSC: 39A36 37J65 37J70 39A12 33E05 PDF BibTeX XML Cite \textit{M. Noumi} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 063, 16 p. (2020; Zbl 07227208) Full Text: DOI
Bargheer, Till; Chestnov, Vsevolod; Schomerus, Volker The multi-Regge limit from the Wilson loop OPE. (English) Zbl 1437.81087 J. High Energy Phys. 2020, No. 5, Paper No. 2, 68 p. (2020). MSC: 81T60 81R12 81U05 70S15 83C27 PDF BibTeX XML Cite \textit{T. Bargheer} et al., J. High Energy Phys. 2020, No. 5, Paper No. 2, 68 p. (2020; Zbl 1437.81087) Full Text: DOI arXiv
Dubrovin, Boris; Yang, Di Matrix resolvent and the discrete KdV hierarchy. (English) Zbl 07220096 Commun. Math. Phys. 377, No. 3, 1823-1852 (2020). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 37K20 37K25 37K60 PDF BibTeX XML Cite \textit{B. Dubrovin} and \textit{D. Yang}, Commun. Math. Phys. 377, No. 3, 1823--1852 (2020; Zbl 07220096) Full Text: DOI
Ablowitz, Mark J.; Luo, Xu-Dan; Musslimani, Ziad H. Discrete nonlocal nonlinear Schrödinger systems: integrability, inverse scattering and solitons. (English) Zbl 1446.37062 Nonlinearity 33, No. 7, 3653-3707 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K15 37K60 39A36 39A12 35Q55 PDF BibTeX XML Cite \textit{M. J. Ablowitz} et al., Nonlinearity 33, No. 7, 3653--3707 (2020; Zbl 1446.37062) Full Text: DOI
Grammaticos, B.; Ramani, A.; Willox, R.; Satsuma, J. Discrete Painlevé equations from singularity patterns: the asymmetric trihomographic case. (English) Zbl 1441.39013 J. Math. Phys. 61, No. 3, 033503, 20 p. (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 37J70 39A12 PDF BibTeX XML Cite \textit{B. Grammaticos} et al., J. Math. Phys. 61, No. 3, 033503, 20 p. (2020; Zbl 1441.39013) Full Text: DOI
Bastien, Guy; Rogalski, Marc The periodic orbits of a dynamical system associated with a family of QRT-maps. (English) Zbl 1441.37071 Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 57, 29 p. (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J39 37E10 37C25 37C55 14E05 14E07 PDF BibTeX XML Cite \textit{G. Bastien} and \textit{M. Rogalski}, Qual. Theory Dyn. Syst. 19, No. 2, Paper No. 57, 29 p. (2020; Zbl 1441.37071) Full Text: DOI
Kobayashi, Shimpei; Matsuura, Nozomu Representation formula for discrete indefinite affine spheres. (English) Zbl 1435.53005 Differ. Geom. Appl. 69, Article ID 101592, 41 p. (2020). MSC: 53A15 37K10 PDF BibTeX XML Cite \textit{S. Kobayashi} and \textit{N. Matsuura}, Differ. Geom. Appl. 69, Article ID 101592, 41 p. (2020; Zbl 1435.53005) Full Text: DOI
Ramassamy, Sanjay Miquel dynamics for circle patterns. (English) Zbl 1432.37041 Int. Math. Res. Not. 2020, No. 3, 813-852 (2020). MSC: 37C05 52C26 37J35 14H70 PDF BibTeX XML Cite \textit{S. Ramassamy}, Int. Math. Res. Not. 2020, No. 3, 813--852 (2020; Zbl 1432.37041) Full Text: DOI
Wang, Bo; Cheng, Jun; Zhou, Xia A multiple hierarchical structure strategy to quantized control of Markovian switching systems. (English) Zbl 1433.93080 Appl. Math. Comput. 373, Article ID 125037, 10 p. (2020). MSC: 93C62 37K10 60J20 93E15 93C57 PDF BibTeX XML Cite \textit{B. Wang} et al., Appl. Math. Comput. 373, Article ID 125037, 10 p. (2020; Zbl 1433.93080) Full Text: DOI
Bobenko, Alexander I.; Schief, Wolfgang K.; Techter, Jan Checkerboard incircular nets: Laguerre geometry and parametrisation. (English) Zbl 1432.51003 Geom. Dedicata 204, 97-129 (2020). MSC: 51B15 37J35 51N15 PDF BibTeX XML Cite \textit{A. I. Bobenko} et al., Geom. Dedicata 204, 97--129 (2020; Zbl 1432.51003) Full Text: DOI
Togueu Motcheyo, Alain Bertrand; Kimura, Masayuki; Doi, Yusuke; Tchawoua, Clément Supratransmission in discrete one-dimensional lattices with the cubic-quintic nonlinearity. (English) Zbl 1432.39007 Nonlinear Dyn. 95, No. 3, 2461-2468 (2019). MSC: 39A36 39A12 37K40 35C08 PDF BibTeX XML Cite \textit{A. B. Togueu Motcheyo} et al., Nonlinear Dyn. 95, No. 3, 2461--2468 (2019; Zbl 1432.39007) Full Text: DOI
Kassotakis, P.; Nieszporski, M.; Papageorgiou, V.; Tongas, A. Tetrahedron maps and symmetries of three dimensional integrable discrete equations. (English) Zbl 1439.37074 J. Math. Phys. 60, No. 12, 123503, 18 p. (2019). Reviewer: Eszter Gselmann (Debrecen) MSC: 37K60 37J70 39A36 16T25 37C79 PDF BibTeX XML Cite \textit{P. Kassotakis} et al., J. Math. Phys. 60, No. 12, 123503, 18 p. (2019; Zbl 1439.37074) Full Text: DOI
Joshi, Nalini; Kassotakis, Pavlos Re-factorising a QRT map. (English) Zbl 1434.37039 J. Comput. Dyn. 6, No. 2, 325-343 (2019). MSC: 37J70 37J11 14E05 37M15 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{P. Kassotakis}, J. Comput. Dyn. 6, No. 2, 325--343 (2019; Zbl 1434.37039) Full Text: DOI
Petrera, Matteo; Suris, Yuri B. Geometry of the Kahan discretizations of planar quadratic Hamiltonian systems. II. Systems with a linear Poisson tensor. (English) Zbl 07170227 J. Comput. Dyn. 6, No. 2, 401-408 (2019). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J70 65P10 37M15 37J35 14E05 39A36 PDF BibTeX XML Cite \textit{M. Petrera} and \textit{Y. B. Suris}, J. Comput. Dyn. 6, No. 2, 401--408 (2019; Zbl 07170227) Full Text: DOI
Guillot, Adolfo; Ramírez, Valente On the multipliers at fixed points of quadratic self-maps of the projective plane with an invariant line. (English) Zbl 1434.37027 Comput. Methods Funct. Theory 19, No. 4, 687-716 (2019). MSC: 37F10 37J70 37C25 PDF BibTeX XML Cite \textit{A. Guillot} and \textit{V. Ramírez}, Comput. Methods Funct. Theory 19, No. 4, 687--716 (2019; Zbl 1434.37027) Full Text: DOI
Yamane, Hideshi Asymptotics for the focusing integrable discrete nonlinear Schrödinger equation. (English) Zbl 1434.35198 RIMS Kôkyûroku Bessatsu B75, 31-39 (2019). MSC: 35Q55 35Q15 35B40 35C08 37K10 PDF BibTeX XML Cite \textit{H. Yamane}, RIMS Kôkyûroku Bessatsu B75, 31--39 (2019; Zbl 1434.35198)
Tsiganov, Andreĭ V. Superintegrable systems with algebraic and rational integrals of motion. (English. Russian original) Zbl 1429.70008 Theor. Math. Phys. 199, No. 2, 659-674 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 218-234 (2019). MSC: 70F07 37J35 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Theor. Math. Phys. 199, No. 2, 659--674 (2019; Zbl 1429.70008); translation from Teor. Mat. Fiz. 199, No. 2, 218--234 (2019) Full Text: DOI
Garifullin, R. N.; Yamilov, R. I. An unusual series of autonomous discrete integrable equations on a square lattice. (English. Russian original) Zbl 1430.39005 Theor. Math. Phys. 200, No. 1, 966-984 (2019); translation from Teor. Mat. Fiz. 200, No. 1, 50-71 (2019). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A36 39A14 37K10 39A12 PDF BibTeX XML Cite \textit{R. N. Garifullin} and \textit{R. I. Yamilov}, Theor. Math. Phys. 200, No. 1, 966--984 (2019; Zbl 1430.39005); translation from Teor. Mat. Fiz. 200, No. 1, 50--71 (2019) Full Text: DOI
Celledoni, E.; McLaren, D. I.; Owren, B.; Quispel, G. R. W. Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals. (English) Zbl 1425.34049 J. Phys. A, Math. Theor. 52, No. 6, Article ID 065201, 9 p. (2019). MSC: 34C07 39A12 37J35 PDF BibTeX XML Cite \textit{E. Celledoni} et al., J. Phys. A, Math. Theor. 52, No. 6, Article ID 065201, 9 p. (2019; Zbl 1425.34049) Full Text: DOI
Gubbiotti, Giorgio Algebraic entropy of a class of five-point differential-difference equations. (English) Zbl 1423.34021 Symmetry 11, No. 3, Paper No. 432, 24 p. (2019). MSC: 34A33 34C14 37J35 39A12 PDF BibTeX XML Cite \textit{G. Gubbiotti}, Symmetry 11, No. 3, Paper No. 432, 24 p. (2019; Zbl 1423.34021) Full Text: DOI
Zhao, Song-Lin Discrete potential Ablowitz-Kaup-Newell-Segur equation. (English) Zbl 1423.39014 J. Difference Equ. Appl. 25, No. 8, 1134-1148 (2019). MSC: 39A14 39A12 37K10 35Q51 35Q53 PDF BibTeX XML Cite \textit{S.-L. Zhao}, J. Difference Equ. Appl. 25, No. 8, 1134--1148 (2019; Zbl 1423.39014) Full Text: DOI
Kassotakis, Pavlos Invariants in separated variables: Yang-Baxter, entwining and transfer maps. (English) Zbl 1423.14097 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 048, 36 p. (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14E07 14H70 37K10 37J35 81R12 PDF BibTeX XML Cite \textit{P. Kassotakis}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 048, 36 p. (2019; Zbl 1423.14097) Full Text: DOI
Benson, Joseph; Valiquette, Francis Invariant discrete flows. (English) Zbl 1423.35333 Stud. Appl. Math. 143, No. 1, 81-119 (2019). MSC: 35Q53 37K10 17B80 49M25 PDF BibTeX XML Cite \textit{J. Benson} and \textit{F. Valiquette}, Stud. Appl. Math. 143, No. 1, 81--119 (2019; Zbl 1423.35333) Full Text: DOI
Kels, Andrew P. Extended Z-invariance for integrable vector and face models and multi-component integrable quad equations. (English) Zbl 1428.82012 J. Stat. Phys. 176, No. 6, 1375-1408 (2019). MSC: 82B20 16T25 35Q82 PDF BibTeX XML Cite \textit{A. P. Kels}, J. Stat. Phys. 176, No. 6, 1375--1408 (2019; Zbl 1428.82012) Full Text: DOI
Aktosun, Tuncay; Choque-Rivero, Abdon E.; Papanicolaou, Vassilis G. Darboux transformation for the discrete Schrödinger equation. (English) Zbl 1442.39007 Electron. J. Differ. Equ. 2019, Paper No. 112, 34 p. (2019). Reviewer: Ti-Jun Xiao (Fudan) MSC: 39A14 39A36 39A12 37K35 39A70 47B39 PDF BibTeX XML Cite \textit{T. Aktosun} et al., Electron. J. Differ. Equ. 2019, Paper No. 112, 34 p. (2019; Zbl 1442.39007) Full Text: Link
Vekslerchik, V. E. Solitons of the \((2+2)\)-dimensional Toda lattice. (English) Zbl 1422.37048 J. Phys. A, Math. Theor. 52, No. 4, Article ID 045202, 11 p. (2019). MSC: 37K10 35Q53 39A12 35C08 PDF BibTeX XML Cite \textit{V. E. Vekslerchik}, J. Phys. A, Math. Theor. 52, No. 4, Article ID 045202, 11 p. (2019; Zbl 1422.37048) Full Text: DOI
Joshi, Nalini; Pelinovsky, Dmitry E. Integrable semi-discretization of the massive Thirring system in laboratory coordinates. (English) Zbl 1422.81145 J. Phys. A, Math. Theor. 52, No. 3, Article ID 03LT01, 12 p. (2019). MSC: 81T10 81Q80 39A12 37K10 37K35 PDF BibTeX XML Cite \textit{N. Joshi} and \textit{D. E. Pelinovsky}, J. Phys. A, Math. Theor. 52, No. 3, Article ID 03LT01, 12 p. (2019; Zbl 1422.81145) Full Text: DOI
Wang, Xiaoyi; Cheng, Jipeng; Li, Hongyun The flow equations of the modified discrete KP hierarchy. (Chinese. English summary) Zbl 1438.35375 Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 2, 386-392 (2019). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{X. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 39, No. 2, 386--392 (2019; Zbl 1438.35375)
Bazhanov, Vladimir V.; Kotousov, Gleb A.; Koval, Sergii M.; Lukyanov, Sergei L. On the scaling behaviour of the alternating spin chain. (English) Zbl 1421.81109 J. High Energy Phys. 2019, No. 8, Paper No. 87, 31 p. (2019). MSC: 81T40 81R12 83C27 83C60 PDF BibTeX XML Cite \textit{V. V. Bazhanov} et al., J. High Energy Phys. 2019, No. 8, Paper No. 87, 31 p. (2019; Zbl 1421.81109) Full Text: DOI arXiv
Zhu, Mengkun; Chen, Yang On properties of a deformed Freud weight. (English) Zbl 1426.33035 Random Matrices Theory Appl. 8, No. 1, Article ID 1950004, 36 p. (2019). MSC: 33C47 34M55 60B20 65Q30 PDF BibTeX XML Cite \textit{M. Zhu} and \textit{Y. Chen}, Random Matrices Theory Appl. 8, No. 1, Article ID 1950004, 36 p. (2019; Zbl 1426.33035) Full Text: DOI arXiv
Croydon, David A.; Sasada, Makiko Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures. (English) Zbl 1426.37013 J. Math. Phys. 60, No. 8, 083301, 25 p. (2019). MSC: 37B15 37C40 37K10 37K40 60J20 PDF BibTeX XML Cite \textit{D. A. Croydon} and \textit{M. Sasada}, J. Math. Phys. 60, No. 8, 083301, 25 p. (2019; Zbl 1426.37013) Full Text: DOI
Hirose, Sampei; Inoguchi, Jun-ichi; Kajiwara, Kenji; Matsuura, Nozomu; Ohta, Yasuhiro Discrete local induction equation. (English) Zbl 1422.37046 J. Integrable Sys. 4, Article ID xyz003, 43 p. (2019). MSC: 37K10 39A12 35Q55 PDF BibTeX XML Cite \textit{S. Hirose} et al., J. Integrable Sys. 4, Article ID xyz003, 43 p. (2019; Zbl 1422.37046) Full Text: DOI arXiv
Joshi, Nalini Discrete Painlevé equations. (English) Zbl 1423.37003 CBMS Regional Conference Series in Mathematics 131. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (ISBN 978-1-4704-5038-0/pbk). vi, 146 p. (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37-02 39-02 37K10 37J35 33E17 39A45 14E07 14E15 32S45 PDF BibTeX XML Cite \textit{N. Joshi}, Discrete Painlevé equations. Providence, RI: American Mathematical Society (AMS), published for the Conference Board of the Mathematical Sciences (CBMS) (2019; Zbl 1423.37003) Full Text: DOI
Ramani, A.; Grammaticos, B.; Willox, R.; Tamizhmani, T. Constructing discrete Painlevé equations: from \(\mathrm{E}_8^{(1)}\) to \(\mathrm{A}_1^{(1)}\) and back. (English) Zbl 1418.37113 J. Nonlinear Math. Phys. 26, No. 4, 520-535 (2019). MSC: 37K10 PDF BibTeX XML Cite \textit{A. Ramani} et al., J. Nonlinear Math. Phys. 26, No. 4, 520--535 (2019; Zbl 1418.37113) Full Text: DOI
Geng, Xianguo; Zeng, Xin; Wei, Jiao The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy. (English) Zbl 1421.35335 Ann. Henri Poincaré 20, No. 8, 2585-2621 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 35Q41 37K10 35Q51 35C08 PDF BibTeX XML Cite \textit{X. Geng} et al., Ann. Henri Poincaré 20, No. 8, 2585--2621 (2019; Zbl 1421.35335) Full Text: DOI
Halburd, Rod; Korhonen, Risto Three approaches to detecting discrete integrability. (English) Zbl 1423.30024 Comput. Methods Funct. Theory 19, No. 2, 299-313 (2019). Reviewer: Dmitri V. Prokhorov (Saratov) MSC: 30D35 39A12 37J35 PDF BibTeX XML Cite \textit{R. Halburd} and \textit{R. Korhonen}, Comput. Methods Funct. Theory 19, No. 2, 299--313 (2019; Zbl 1423.30024) Full Text: DOI
Liu, Yu; Dong, Huanhe; Zhang, Yong Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows. (English) Zbl 1420.35294 Anal. Math. Phys. 9, No. 1, 465-481 (2019). MSC: 35Q51 37K10 22E70 PDF BibTeX XML Cite \textit{Y. Liu} et al., Anal. Math. Phys. 9, No. 1, 465--481 (2019; Zbl 1420.35294) Full Text: DOI
Bernier, Joackim Bounds on the growth of high discrete Sobolev norms for the cubic discrete nonlinear Schrödinger equations on \( h\mathbb{Z}\). (English) Zbl 1433.35355 Discrete Contin. Dyn. Syst. 39, No. 6, 3179-3195 (2019). Reviewer: Johanna Michor (Wien) MSC: 35Q55 37K60 65P99 35Q41 PDF BibTeX XML Cite \textit{J. Bernier}, Discrete Contin. Dyn. Syst. 39, No. 6, 3179--3195 (2019; Zbl 1433.35355) Full Text: DOI
Felipe, Raúl; Marí Beffa, Gloria The pentagram map on Grassmannians. (La carte pentagramme sur les grassmanniens.) (English. French summary) Zbl 1421.37025 Ann. Inst. Fourier 69, No. 1, 421-456 (2019). MSC: 37J35 37D40 30D05 39B12 PDF BibTeX XML Cite \textit{R. Felipe} and \textit{G. Marí Beffa}, Ann. Inst. Fourier 69, No. 1, 421--456 (2019; Zbl 1421.37025) Full Text: DOI
Zhang, Danda; Zhang, Da-jun Addition formulae, Bäcklund transformations, periodic solutions, and quadrilateral equations. (English) Zbl 1414.39006 Front. Math. China 14, No. 1, 203-223 (2019). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A14 37K10 39A12 37K35 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{D.-j. Zhang}, Front. Math. China 14, No. 1, 203--223 (2019; Zbl 1414.39006) Full Text: DOI
Zabrodin, A. Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy. (English) Zbl 1419.37066 J. Math. Phys. 60, No. 3, 033502, 14 p. (2019). MSC: 37K10 35Q53 39A12 PDF BibTeX XML Cite \textit{A. Zabrodin}, J. Math. Phys. 60, No. 3, 033502, 14 p. (2019; Zbl 1419.37066) Full Text: DOI
Ong, Darren C.; Remling, Christian Generalized Toda flows. (English) Zbl 1419.37057 Trans. Am. Math. Soc. 371, No. 7, 5069-5081 (2019). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37J35 37K10 37K20 34B24 39A70 39A12 47B36 PDF BibTeX XML Cite \textit{D. C. Ong} and \textit{C. Remling}, Trans. Am. Math. Soc. 371, No. 7, 5069--5081 (2019; Zbl 1419.37057) Full Text: DOI arXiv
Gabai, Barak; Mazáč, Dalimil; Shieber, Andrei; Vieira, Pedro; Zhou, Yehao No particle production in two dimensions: recursion relations and multi-Regge limit. (English) Zbl 1411.81111 J. High Energy Phys. 2019, No. 2, Paper No. 94, 20 p. (2019). MSC: 81R12 81U20 81T40 83C27 PDF BibTeX XML Cite \textit{B. Gabai} et al., J. High Energy Phys. 2019, No. 2, Paper No. 94, 20 p. (2019; Zbl 1411.81111) Full Text: DOI arXiv
Euler, Norbert (ed.) Nonlinear systems and their remarkable mathematical structures. Volume I. (English) Zbl 1409.37001 Boca Raton, FL: CRC Press (ISBN 978-1-138-60100-0/hbk; 978-0-429-89381-0/ebook). xvi, 582 p. (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 37-01 34-01 37Jxx 37Kxx 70Fxx 70Gxx 70Hxx PDF BibTeX XML Cite \textit{N. Euler} (ed.), Nonlinear systems and their remarkable mathematical structures. Volume I. Boca Raton, FL: CRC Press (2019; Zbl 1409.37001) Full Text: Link
Wajahat A. Riaz, H.; Hassan, Mahmood ul Multi-component semi-discrete coupled dispersionless integrable system, its Lax pair and Darboux transformation. (English) Zbl 07265178 Commun. Nonlinear Sci. Numer. Simul. 61, 71-83 (2018). MSC: 37 15 PDF BibTeX XML Cite \textit{H. Wajahat A. Riaz} and \textit{M. u. Hassan}, Commun. Nonlinear Sci. Numer. Simul. 61, 71--83 (2018; Zbl 07265178) Full Text: DOI
Geng, Xianguo; Zeng, Xin; Wei, Jiao Riemann surface and Riemann theta function solutions of the discrete integrable hierarchy. (English) Zbl 1442.37081 Chaos Solitons Fractals 116, 365-375 (2018). MSC: 37K20 30F30 PDF BibTeX XML Cite \textit{X. Geng} et al., Chaos Solitons Fractals 116, 365--375 (2018; Zbl 1442.37081) Full Text: DOI
Ahmadi Zeidabadi, F.; Hoseini, S. M. Soliton perturbation theory for matrix complex modified Korteweg-de Vries equation. (English) Zbl 07213204 Wave Motion 76, 42-50 (2018). MSC: 37K40 PDF BibTeX XML Cite \textit{F. Ahmadi Zeidabadi} and \textit{S. M. Hoseini}, Wave Motion 76, 42--50 (2018; Zbl 07213204) Full Text: DOI
Zakaria, L.; Notiragayu; Nuryaman, A.; Suharsono, S. The integral normal form of a three-dimensional traveling wave solution mapping derived from generalized \(\Delta \Delta \)-mKdV equation. (English) Zbl 1426.39011 Adv. Differ. Equ. Control Process. 19, No. 1, 37-48 (2018). MSC: 39A14 39A12 37K10 PDF BibTeX XML Cite \textit{L. Zakaria} et al., Adv. Differ. Equ. Control Process. 19, No. 1, 37--48 (2018; Zbl 1426.39011) Full Text: DOI
Sakhnovich, Alexander L. GBDT of discrete skew-selfadjoint Dirac systems and explicit solutions of the corresponding non-stationary problems. (English) Zbl 1426.39007 Bart, Harm (ed.) et al., Operator theory, analysis and the state space approach. In honor of Rien Kaashoek. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 271, 389-398 (2018). MSC: 39A12 37K10 37K35 PDF BibTeX XML Cite \textit{A. L. Sakhnovich}, Oper. Theory: Adv. Appl. 271, 389--398 (2018; Zbl 1426.39007) Full Text: DOI
Jovanović, Božidar; Jovanović, Vladimir Heisenberg model in pseudo-Euclidean spaces. II. (English) Zbl 1411.70026 Regul. Chaotic Dyn. 23, No. 4, 418-437 (2018). MSC: 70H06 37J35 37J55 70H45 PDF BibTeX XML Cite \textit{B. Jovanović} and \textit{V. Jovanović}, Regul. Chaotic Dyn. 23, No. 4, 418--437 (2018; Zbl 1411.70026) Full Text: DOI
Stokes, Alexander Full-parameter discrete Painlevé systems from non-translational Cremona isometries. (English) Zbl 1411.34116 J. Phys. A, Math. Theor. 51, No. 49, Article ID 495206, 31 p. (2018). MSC: 34M55 14H70 14E07 33D52 39A12 39A10 37K10 37K35 PDF BibTeX XML Cite \textit{A. Stokes}, J. Phys. A, Math. Theor. 51, No. 49, Article ID 495206, 31 p. (2018; Zbl 1411.34116) Full Text: DOI
Inoue, Atsuo; Takesue, Shinji Two extensions of exact nonequilibrium steady states of a boundary-driven cellular automaton. (English) Zbl 1408.37117 J. Phys. A, Math. Theor. 51, No. 42, Article ID 425001, 26 p. (2018). MSC: 37K10 82C20 82C31 37B15 60J20 60K35 PDF BibTeX XML Cite \textit{A. Inoue} and \textit{S. Takesue}, J. Phys. A, Math. Theor. 51, No. 42, Article ID 425001, 26 p. (2018; Zbl 1408.37117) Full Text: DOI
Kassotakis, Pavlos; Nieszporski, Maciej Difference systems in bond and face variables and non-potential versions of discrete integrable systems. (English) Zbl 1408.39007 J. Phys. A, Math. Theor. 51, No. 38, Article ID 385203, 21 p. (2018). MSC: 39A14 39A60 37K10 PDF BibTeX XML Cite \textit{P. Kassotakis} and \textit{M. Nieszporski}, J. Phys. A, Math. Theor. 51, No. 38, Article ID 385203, 21 p. (2018; Zbl 1408.39007) Full Text: DOI
Shi, Ying; Zhao, Junxiao Discrete modified Boussinesq equation and Darboux transformation. (English) Zbl 1409.37067 Appl. Math. Lett. 86, 141-148 (2018). MSC: 37K10 39A12 39A14 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{J. Zhao}, Appl. Math. Lett. 86, 141--148 (2018; Zbl 1409.37067) Full Text: DOI
Lin, Runliang; Du, Yukun Generalized Darboux transformation for the discrete Kadomtsev-Petviashvili equation with self-consistent sources. (English. Russian original) Zbl 1405.37079 Theor. Math. Phys. 196, No. 3, 1320-1332 (2018); translation from Teor. Mat. Fiz. 196, No. 3, 434-448 (2018). MSC: 37K10 37K35 35Q53 35C08 39A12 PDF BibTeX XML Cite \textit{R. Lin} and \textit{Y. Du}, Theor. Math. Phys. 196, No. 3, 1320--1332 (2018; Zbl 1405.37079); translation from Teor. Mat. Fiz. 196, No. 3, 434--448 (2018) Full Text: DOI
Zhang, Ning; Xia, Tiecheng; Jin, QiuYan \(N\)-fold Darboux transformation of the discrete Ragnisco-Tu system. (English) Zbl 1448.37086 Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018). MSC: 37K35 37K10 35Q51 PDF BibTeX XML Cite \textit{N. Zhang} et al., Adv. Difference Equ. 2018, Paper No. 302, 10 p. (2018; Zbl 1448.37086) Full Text: DOI
Liu, Nan; Wen, Xiao-Yong; Xu, Ling Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves. (English) Zbl 1448.37085 Adv. Difference Equ. 2018, Paper No. 289, 30 p. (2018). MSC: 37K35 35Q51 37K10 37K40 PDF BibTeX XML Cite \textit{N. Liu} et al., Adv. Difference Equ. 2018, Paper No. 289, 30 p. (2018; Zbl 1448.37085) Full Text: DOI
Addabbo, Darlayne; Bergvelt, Maarten Difference hierarchies for \(nT\) \(\tau\)-functions. (English) Zbl 1447.17019 Int. J. Math. 29, No. 13, Article ID 1850090, 29 p. (2018). MSC: 17B80 37K10 39A30 PDF BibTeX XML Cite \textit{D. Addabbo} and \textit{M. Bergvelt}, Int. J. Math. 29, No. 13, Article ID 1850090, 29 p. (2018; Zbl 1447.17019) Full Text: DOI arXiv
Shinzawa, N. Soliton solution to the generalized discrete BKP equation and its Bäcklund transformation equations. (English) Zbl 1408.35168 Japan J. Ind. Appl. Math. 35, No. 2, 915-937 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 37K10 37K35 35C08 PDF BibTeX XML Cite \textit{N. Shinzawa}, Japan J. Ind. Appl. Math. 35, No. 2, 915--937 (2018; Zbl 1408.35168) Full Text: DOI
Ramani, A.; Grammaticos, B.; Tamizhmani, T. Investigating relations between discrete Painlevé equations: the multistep approach. (English) Zbl 1403.39006 J. Math. Phys. 59, No. 11, 113506, 10 p. (2018). MSC: 39A12 34M55 37J35 37K10 PDF BibTeX XML Cite \textit{A. Ramani} et al., J. Math. Phys. 59, No. 11, 113506, 10 p. (2018; Zbl 1403.39006) Full Text: DOI
Kamiya, Ryo; Kanki, Masataka; Mase, Takafumi; Okubo, Naoto; Tokihiro, Tetsuji Toda type equations over multi-dimensional lattices. (English) Zbl 1404.39006 J. Phys. A, Math. Theor. 51, No. 36, Article ID 364002, 16 p. (2018). MSC: 39A12 37K10 13F60 37K60 37J35 PDF BibTeX XML Cite \textit{R. Kamiya} et al., J. Phys. A, Math. Theor. 51, No. 36, Article ID 364002, 16 p. (2018; Zbl 1404.39006) Full Text: DOI
Kamiya, Ryo; Kanki, Masataka; Mase, Takafumi; Tokihiro, Tetsuji Nonlinear forms of coprimeness preserving extensions to the Somos-4 recurrence and the two-dimensional Toda lattice equation – investigation into their extended Laurent properties. (English) Zbl 1406.39006 J. Phys. A, Math. Theor. 51, No. 35, Article ID 355202, 23 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 39A12 37K10 37J35 11B37 65Q30 PDF BibTeX XML Cite \textit{R. Kamiya} et al., J. Phys. A, Math. Theor. 51, No. 35, Article ID 355202, 23 p. (2018; Zbl 1406.39006) Full Text: DOI
Takahashi, You; Iwasaki, Masashi; Fukuda, Akiko; Ishiwata, Emiko; Nakamura, Yoshimasa Periodic convergence in the discrete hungry Toda equation. (English) Zbl 1404.39019 J. Phys. A, Math. Theor. 51, No. 34, Article ID 344001, 9 p. (2018). MSC: 39A30 39A23 37J35 37J25 PDF BibTeX XML Cite \textit{Y. Takahashi} et al., J. Phys. A, Math. Theor. 51, No. 34, Article ID 344001, 9 p. (2018; Zbl 1404.39019) Full Text: DOI
Suris, Yuri B. Discrete time Toda systems. (English) Zbl 1402.37070 J. Phys. A, Math. Theor. 51, No. 33, Article ID 333001, 64 p. (2018). Reviewer: Giuseppe Gaeta (Milano) MSC: 37J35 37K10 37K35 39A12 37J05 65P10 70H30 37M15 PDF BibTeX XML Cite \textit{Y. B. Suris}, J. Phys. A, Math. Theor. 51, No. 33, Article ID 333001, 64 p. (2018; Zbl 1402.37070) Full Text: DOI
Wang, Bao; Chang, Xiang-Ke; Hu, Xing-Biao; Li, Shi-Hao On moving frames and Toda lattices of BKP and CKP types. (English) Zbl 1398.37074 J. Phys. A, Math. Theor. 51, No. 32, Article ID 324002, 22 p. (2018). MSC: 37K25 37K10 42C05 PDF BibTeX XML Cite \textit{B. Wang} et al., J. Phys. A, Math. Theor. 51, No. 32, Article ID 324002, 22 p. (2018; Zbl 1398.37074) Full Text: DOI
Adler, V. E. Integrable seven-point discrete equations and second-order evolution chains. (English. Russian original) Zbl 1401.37072 Theor. Math. Phys. 195, No. 1, 513-528 (2018); translation from Teor. Mat. Fiz. 195, No. 1, 27-43 (2018). MSC: 37K10 37K60 PDF BibTeX XML Cite \textit{V. E. Adler}, Theor. Math. Phys. 195, No. 1, 513--528 (2018; Zbl 1401.37072); translation from Teor. Mat. Fiz. 195, No. 1, 27--43 (2018) Full Text: DOI
Wajahat, H.; Riaz, A.; Hassan, M. Generalized lattice Heisenberg magnet model and its quasideterminant soliton solutions. (English. Russian original) Zbl 1401.82010 Theor. Math. Phys. 195, No. 2, 665-675 (2018); translation from Teor. Mat. Fiz. 195, No. 2, 197-208 (2018). MSC: 82B20 37K35 82D55 35C08 PDF BibTeX XML Cite \textit{H. Wajahat} et al., Theor. Math. Phys. 195, No. 2, 665--675 (2018; Zbl 1401.82010); translation from Teor. Mat. Fiz. 195, No. 2, 197--208 (2018) Full Text: DOI
Bobenko, Alexander I.; Tsarev, Sergey The curvature line parametrization from circular nets on a surface. (English) Zbl 1401.53004 J. Math. Phys. 59, No. 9, 091410, 18 p. (2018). MSC: 53A05 52B70 PDF BibTeX XML Cite \textit{A. I. Bobenko} and \textit{S. Tsarev}, J. Math. Phys. 59, No. 9, 091410, 18 p. (2018; Zbl 1401.53004) Full Text: DOI
Wajahat, H.; Riaz, A.; Hassan, M. Darboux transformation for a semidiscrete short-pulse equation. (English. Russian original) Zbl 1397.37077 Theor. Math. Phys. 194, No. 3, 360-376 (2018); translation from Teor. Mat. Fiz. 194, No. 3, 418-435 (2018). MSC: 37K10 37K35 PDF BibTeX XML Cite \textit{H. Wajahat} et al., Theor. Math. Phys. 194, No. 3, 360--376 (2018; Zbl 1397.37077); translation from Teor. Mat. Fiz. 194, No. 3, 418--435 (2018) Full Text: DOI
Mase, T.; Willox, R.; Ramani, A.; Grammaticos, B. Integrable mappings and the notion of anticonfinement. (English) Zbl 1405.37063 J. Phys. A, Math. Theor. 51, No. 26, Article ID 265201, 11 p. (2018). MSC: 37J35 39A12 PDF BibTeX XML Cite \textit{T. Mase} et al., J. Phys. A, Math. Theor. 51, No. 26, Article ID 265201, 11 p. (2018; Zbl 1405.37063) Full Text: DOI
Iwao, Shinsuke Tropical integrable systems and Young tableaux: shape equivalence and Littlewood-Richardson correspondence. (English) Zbl 1397.37082 J. Integrable Sys. 3, Article ID xyy011, 21 p. (2018). MSC: 37K30 37K10 39A12 PDF BibTeX XML Cite \textit{S. Iwao}, J. Integrable Sys. 3, Article ID xyy011, 21 p. (2018; Zbl 1397.37082) Full Text: DOI
Mase, Takafumi Studies on spaces of initial conditions for non-autonomous mappings of the plane. (English) Zbl 1397.37061 J. Integrable Sys. 3, Article ID xyy010, 47 p. (2018). MSC: 37J35 39A12 39A10 28D20 PDF BibTeX XML Cite \textit{T. Mase}, J. Integrable Sys. 3, Article ID xyy010, 47 p. (2018; Zbl 1397.37061) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Willox, R.; Mase, T.; Satsuma, J. Calculating the algebraic entropy of mappings with unconfined singularities. (English) Zbl 1397.37062 J. Integrable Sys. 3, Article ID xyy006, 16 p. (2018). MSC: 37J35 37K10 39A12 28D20 14E05 32H50 PDF BibTeX XML Cite \textit{A. Ramani} et al., J. Integrable Sys. 3, Article ID xyy006, 16 p. (2018; Zbl 1397.37062) Full Text: DOI
Kakei, Saburo; Nimmo, Jonathan J. C.; Tsujimoto, Satoshi; Willox, Ralph Linearization of the box-ball system: an elementary approach. (English) Zbl 1397.37074 J. Integrable Sys. 3, Article ID xyy002, 32 p. (2018). MSC: 37K10 39A12 37E15 70G65 PDF BibTeX XML Cite \textit{S. Kakei} et al., J. Integrable Sys. 3, Article ID xyy002, 32 p. (2018; Zbl 1397.37074) Full Text: DOI arXiv
Shinjo, Masato; Nakamura, Yoshimasa; Iwasaki, Masashi; Kondo, Koichi Asymptotic analysis of non-autonomous discrete hungry integrable systems. (English) Zbl 1397.37064 J. Integrable Sys. 3, Article ID xyy001, 27 p. (2018). MSC: 37J35 37K10 39A12 PDF BibTeX XML Cite \textit{M. Shinjo} et al., J. Integrable Sys. 3, Article ID xyy001, 27 p. (2018; Zbl 1397.37064) Full Text: DOI
Datta, Shouvik; Jiang, Yunfeng \( T\overline{T} \) deformed partition functions. (English) Zbl 1396.81172 J. High Energy Phys. 2018, No. 8, Paper No. 106, 22 p. (2018). MSC: 81T40 81R12 PDF BibTeX XML Cite \textit{S. Datta} and \textit{Y. Jiang}, J. High Energy Phys. 2018, No. 8, Paper No. 106, 22 p. (2018; Zbl 1396.81172) Full Text: DOI arXiv
Tsiganov, A. V. On exact discretization of cubic-quintic Duffing oscillator. (English) Zbl 1396.37064 J. Math. Phys. 59, No. 7, 072703, 15 p. (2018). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J35 37J05 70K30 70H05 39A12 39A21 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, J. Math. Phys. 59, No. 7, 072703, 15 p. (2018; Zbl 1396.37064) Full Text: DOI
Li, Luen-Chau An exact discretization of a Lax equation for shock clustering and Burgers turbulence. I: Dynamical aspects and exact solvability. (English) Zbl 1403.37075 Commun. Math. Phys. 361, No. 2, 415-466 (2018). MSC: 37K10 37K05 60J27 65M06 PDF BibTeX XML Cite \textit{L.-C. Li}, Commun. Math. Phys. 361, No. 2, 415--466 (2018; Zbl 1403.37075) Full Text: DOI
Chen, Fanzhi; Herrmann, Michael KdV-like solitary waves in two-dimensional FPU-lattices. (English) Zbl 1400.37095 Discrete Contin. Dyn. Syst. 38, No. 5, 2305-2332 (2018). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37K60 37K40 74H10 82C20 PDF BibTeX XML Cite \textit{F. Chen} and \textit{M. Herrmann}, Discrete Contin. Dyn. Syst. 38, No. 5, 2305--2332 (2018; Zbl 1400.37095) Full Text: DOI arXiv