Oza, Priyank; Agarwal, Khusboo; Tyagi, Jagmohan Fundamental solutions: a brief review. (English) Zbl 07961834 Differ. Equ. Appl. 16, No. 1, 39-70 (2024). MSC: 35A08 35M10 35J50 35J70 35E05 35H20 17B70 35Q05 26D10 35R03 47G20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yanhong Infinitely many solutions for a fractional \(p\)-Kirchhoff type equation on the Heisenberg group. (English) Zbl 07960154 Bull. Korean Math. Soc. 61, No. 6, 1529-1547 (2024). MSC: 35J62 35R11 35R03 35B33 35A01 × Cite Format Result Cite Review PDF Full Text: DOI
Masuda, Tetsu On additional symmetry and bilinearization of the \(q\)-Painlevé systems associated with the affine Weyl group of type \(A\). (English) Zbl 1545.37061 Lett. Math. Phys. 114, No. 1, Paper No. 9, 27 p. (2024). MSC: 37K60 37J70 37J65 37J37 37K30 39A13 17B80 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Kitaev, A. V.; Vartanian, A. Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter. (English) Zbl 1545.34115 J. Math. Anal. Appl. 532, No. 1, Article ID 127917, 86 p. (2024). Reviewer: Yousuke Ohyama (Tokushima) MSC: 34M55 34M15 34M30 34M40 20F55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Ying; Chaolu, Temuer Lie group-based neural networks for nonlinear dynamics. (English) Zbl 1543.34011 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 14, Article ID 2350161, 12 p. (2023). MSC: 34A12 34A45 92B20 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
El Bahi, Maria Ihsane; Hilal, Khalid Group analysis explicit power series solutions and conservation laws of the time-fractional generalized foam drainage equation. (English) Zbl 1536.35266 Int. J. Differ. Equ. 2023, Article ID 8241804, 10 p. (2023). MSC: 35Q35 76T10 76M60 34A08 40G10 22E70 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Khakimova, Zilya Nail’evna; Timofeeva, Larisa Nikolaevna; Atoyan, Aĭkanush Ashotovna Applying a power transformation to the orbit of the 2nd Painlevé equation and solving differential equations with polynomial right-hand sides via the 2nd Painlevé transcendent and in polynomials. (Russian. English summary) Zbl 1540.34160 Differ. Uravn. Protsessy Upr. 2023, No. 4, 143-154 (2023). Reviewer: Mengkun Zhu (Jinan) MSC: 34M55 34M25 34A05 × Cite Format Result Cite Review PDF Full Text: Link
Khvoshchinskaya, L. A. On the Poincaré problem solution for a system of two functions. (English) Zbl 1535.34079 Lobachevskii J. Math. 44, No. 8, 3372-3383 (2023). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M03 × Cite Format Result Cite Review PDF Full Text: DOI
Almkvist, Gert; van Straten, Duco Calabi-Yau operators of degree two. (English) Zbl 1531.14046 J. Algebr. Comb. 58, No. 4, 1203-1259 (2023). Reviewer: Noriko Yui (Kingston) MSC: 14J32 11M06 32S40 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Roy, Ursashi Transcendental Liouvillian solutions of first order nonlinear differential equations. (English) Zbl 1533.12003 Monatsh. Math. 202, No. 3, 599-619 (2023). Reviewer: Mykola Grygorenko (Kyïv) MSC: 12H05 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
Kauffman, Louis H. Combinatorial knot theory and the Jones polynomial. (English) Zbl 1523.57007 J. Knot Theory Ramifications 32, No. 8, Article ID 2340011, 50 p. (2023). MSC: 57K10 57K14 57K16 57R56 57-02 57-03 01A60 01A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nguyen, Tri Dat; Ngo, Lam Xuan Chau Liouvillian solutions of algebraic ordinary differential equations of order one of genus zero. (English) Zbl 1525.34129 J. Syst. Sci. Complex. 36, No. 2, 884-893 (2023). MSC: 34M04 34M15 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Jabłoński, Wojciech A survey on iterations in rings of formal power series in one indeterminate. (English) Zbl 1520.13029 Balcerzak, Marek (ed.) et al., Inspirations in real analysis. Selected papers based on the presentations at the international conference, Będlewo, Poland, April 3–8, 2022. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 125, 45-70 (2023). MSC: 13F25 13J05 39B52 30D05 13H05 × Cite Format Result Cite Review PDF Full Text: DOI
Robertz, Daniel; Seiß, Matthias Normal forms in differential Galois theory for the classical groups. (English) Zbl 1526.12003 Commun. Algebra 51, No. 4, 1492-1516 (2023). Reviewer: Andy R. Magid (Norman) MSC: 12H05 34A30 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Idomoto, Taiki; Suzuki, Takao An affine Weyl group action on the basic hypergeometric series arising from the \(q\)-Garnier system. (English) Zbl 1521.17088 Lett. Math. Phys. 112, No. 6, Paper No. 121, 22 p. (2022). MSC: 17B80 33D15 34M56 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tertychniy, Sergey I. Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation. (English) Zbl 1526.33006 Eur. J. Math. 8, No. 4, 1623-1654 (2022). MSC: 33E30 33C15 34M03 34M35 34M45 58D19 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khvoshchinskaya, L. A. Construction of the Fuchs differential equation with \(3\times 3\) residue-matrices and three singular points using logarithmization method. (English) Zbl 1517.34117 Lobachevskii J. Math. 43, No. 6, 1337-1344 (2022). Reviewer: Yoshitsugu Takei (Kyoto) MSC: 34M35 34M50 15A16 × Cite Format Result Cite Review PDF Full Text: DOI
Novokshenov, V. Yu. Asymptotic solutions of the discrete Painlevé equation of second type. (English. Russian original) Zbl 1503.39012 Math. Notes 112, No. 4, 598-607 (2022); translation from Mat. Zametki 112, No. 4, 613-624 (2022). Reviewer: Mengkun Zhu (Jinan) MSC: 39A36 39A12 37J70 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Demina, Maria V. Meromorphic solutions of autonomous ordinary differential equations without the finiteness property. (English) Zbl 1507.34103 J. Math. Anal. Appl. 516, No. 2, Article ID 126516, 21 p. (2022). Reviewer: Abhijit Banerjee (Kolkata) MSC: 34M04 34M05 34M25 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qiongyan; Li, Zhi; Liu, Manli; Li, Nan On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function. (English) Zbl 1498.11182 Complex Var. Elliptic Equ. 67, No. 10, 2507-2518 (2022). MSC: 11M06 33B15 12H05 30D30 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blázquez-Sanz, David; Casale, Guy; Díaz Arboleda, Juan Sebastián The Malgrange-Galois groupoid of the Painlevé VI equation with parameters. (English) Zbl 1502.34101 Adv. Geom. 22, No. 3, 301-328 (2022). MSC: 34M15 34M55 12H05 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrientos, José; Izaurieta, Fernando; Rodríguez, Eduardo; Valdivia, Omar Wave operators, torsion, and Weitzenböck identities. (English) Zbl 1495.83017 Gen. Relativ. Gravitation 54, No. 3, Paper No. 26, 33 p. (2022). MSC: 83C35 58A15 58J52 35J05 22E43 17B01 35C07 83C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noordman, Marc Paul; van der Put, Marius; Top, Jaap Autonomous first order differential equations. (English) Zbl 1490.12004 Trans. Am. Math. Soc. 375, No. 3, 1653-1670 (2022). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 12H20 34A26 34M15 14H40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying; Geng, Lu-Lu Symmetry analysis of the generalized space and time fractional Korteweg-de Vries equation. (English) Zbl 07838316 Int. J. Geom. Methods Mod. Phys. 18, No. 14, Article ID 2150235, 13 p. (2021). MSC: 22E70 35D99 35K05 35L65 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Buchstaber, V. M.; Tertychnyi, S. I. Categories of symmetry groups of the space of solutions of the special doubly confluent Heun equation. (English. Russian original) Zbl 1547.34130 Math. Notes 110, No. 5, 643-654 (2021); translation from Mat. Zametki 110, No. 5, 643-657 (2021). MSC: 34M15 34M03 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Takao A Lax formulation of a generalized \(q\)-Garnier system. (English) Zbl 1511.37072 Math. Phys. Anal. Geom. 24, No. 4, Paper No. 38, 12 p. (2021). MSC: 37J70 37J65 17B80 14E05 39A36 39A13 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nagiyev, Sh. N.; Mir-Kasimov, R. M. Relativistic linear oscillator under the action of a constant external force. Wave functions and dynamical symmetry group. (English. Russian original) Zbl 1482.81012 Theor. Math. Phys. 208, No. 3, 1265-1276 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 481-494 (2021). MSC: 81Q05 81R20 34C10 65L12 33C45 81S22 35P05 × Cite Format Result Cite Review PDF Full Text: DOI
Dat, Nguyen Tri; Chau, Ngo Lam Xuan Rational Liouvillian solutions of algebraic ordinary differential equations of order one. (English) Zbl 1478.14087 Acta Math. Vietnam. 46, No. 4, 689-700 (2021). Reviewer: Franz Winkler (Linz) MSC: 14Q05 34M15 14H50 12H20 34M25 34M55 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Lin; Xu, Zhiguo; Li, Wenlei; Shi, Shaoyun Renormalization group approach to a class of singularly perturbed delay differential equations. (English) Zbl 1473.34029 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106028, 11 p. (2021). MSC: 34C14 34M25 × Cite Format Result Cite Review PDF Full Text: DOI
Duyunova, Anna; Lychagin, Valentin; Tychkov, Sergey Quotients of Navier-Stokes equation on space curves. (English) Zbl 1477.35120 Anal. Math. Phys. 11, No. 4, Paper No. 175, 10 p. (2021). MSC: 35Q30 35C20 35A24 76M60 22E70 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khakimova, Zilya Nail’evna; Timofeeva, Larisa Nikolaevna; Zaĭtsev, Oleg Valentinovich Polynomial solutions of fractional polynomial differential equations generated by the second Painlevé equation. (Russian. English summary) Zbl 1483.34123 Differ. Uravn. Protsessy Upr. 2021, No. 3, 141-152 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M55 34M25 34C14 × Cite Format Result Cite Review PDF Full Text: Link
Lange-Hegermann, Markus; Robertz, Daniel; Seiler, Werner M.; Seiß, Matthias Singularities of algebraic differential equations. (English) Zbl 1484.34052 Adv. Appl. Math. 131, Article ID 102266, 56 p. (2021). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34A09 34M15 12H05 35A21 13P10 34M35 68W30 32S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tarasov, Vitaly; Varchenko, Alexander Equivariant quantum differential equation, Stokes bases, and \(K\)-theory for a projective space. (English) Zbl 1475.14111 Eur. J. Math. 7, No. 2, 706-728 (2021). Reviewer: Konstantin Jakob (Cambridge) MSC: 14N35 34M40 17B80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rogosin, S.; Khvoshchinskaya, L. Construction of \(2\times 2\) Fuchsian system with five singular points. (English) Zbl 1515.34086 Lobachevskii J. Math. 42, No. 4, 830-849 (2021). MSC: 34M50 × Cite Format Result Cite Review PDF Full Text: DOI
Khakimova, Zilya Nail’evna; Zaĭtsev, Oleg Valentinovich Fractional polynomial differential equations: discrete groups and solutions throw the transcendent of the 1st Painlevé equation. (Russian. English summary) Zbl 1467.34039 Differ. Uravn. Protsessy Upr. 2021, No. 1, 61-92 (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 34C14 34C20 34M55 × Cite Format Result Cite Review PDF Full Text: Link
Han, Qi; Liu, Jingbo Algebraic differential independence regarding the Riemann \(\boldsymbol{\zeta}\)-function and the Euler \(\boldsymbol{\Gamma}\)-function. (English) Zbl 1459.11167 J. Number Theory 221, 109-121 (2021). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 33B15 12H05 30D30 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randall, Matthew Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation. (English) Zbl 1466.34078 N. Z. J. Math. 50, 181-205 (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M15 33C05 × Cite Format Result Cite Review PDF Full Text: arXiv
Buchstaber, V. M.; Tertychnyi, S. I. Group algebras acting on the space of solutions of a special double confluent Heun equation. (English. Russian original) Zbl 1454.82051 Theor. Math. Phys. 204, No. 2, 967-983 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 153-170 (2020). MSC: 82D55 81R10 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Tertychniy, Sergey I. Square root of the monodromy map associated with the equation of RSJ model of Josephson junction. (English) Zbl 1459.34193 Result. Math. 75, No. 4, Paper No. 139, 36 p. (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M04 34M15 34M35 44A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boix, Alberto F.; Noordman, Marc Paul; Top, Jaap The level of pairs of polynomials. (English) Zbl 1444.13008 Commun. Algebra 48, No. 10, 4235-4248 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 13A35 13N10 14B05 14F10 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Haifeng; Li, Chuanzhong Affine Weyl group symmetries of Frobenius Painlevé equations. (English) Zbl 1451.37097 Math. Methods Appl. Sci. 43, No. 6, 3238-3252 (2020). MSC: 37L65 37K10 37K30 35Q53 34M55 × Cite Format Result Cite Review PDF Full Text: DOI
Shokin, Yurii; Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir High order modified differential equation of the Beam-Warming method. I. The dispersive features. (English) Zbl 07207775 Russ. J. Numer. Anal. Math. Model. 35, No. 2, 83-94 (2020). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Randall, Matthew Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters. (English) Zbl 1437.34088 J. Differ. Equations 268, No. 12, 7998-8025 (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haraoka, Yoshishige Multiplicative middle convolution for KZ equations. (English) Zbl 1436.32097 Math. Z. 294, No. 3-4, 1787-1839 (2020). MSC: 32S40 32S22 34M35 33C70 81T40 × Cite Format Result Cite Review PDF Full Text: DOI
Acosta-Humánez, Primitivo B.; Venegas-Gómez, Henock Some remarks about Kimura’s table and Riemann’s equation. (Spanish. English summary) Zbl 1485.12007 Lect. Mat. 40, No. 1, 51-69 (2019). MSC: 12H05 34M15 35A24 × Cite Format Result Cite Review PDF Full Text: Link
Shi, Yang Two variations on \((A_3 \times A_1 \times A_1)^{(1)}\) type discrete Painlevé equations. (English) Zbl 1472.34160 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2229, Article ID 20190299, 18 p. (2019). MSC: 34M55 20F55 33C80 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Winnicki, Ireneusz; Jasinski, Janusz; Pietrek, Slawomir New approach to the Lax-Wendroff modified differential equation for linear and nonlinear advection. (English) Zbl 1431.65138 Numer. Methods Partial Differ. Equations 35, No. 6, 2275-2304 (2019). MSC: 65M06 65M12 65M15 35L65 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Kovalchuk, Vasyl; Gołubowska, Barbara; Mladenov, Ivaïlo Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis. (English) Zbl 1434.53009 J. Geom. Symmetry Phys. 53, 55-84 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53A10 53A35 33E05 70E05 70G45 70G65 70H20 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Liu, Jian-Gen; Yang, Xiao-Jun; Feng, Yi-Ying On integrability of the time fractional nonlinear heat conduction equation. (English) Zbl 1439.35540 J. Geom. Phys. 144, 190-198 (2019). MSC: 35R11 22E70 35K59 35L65 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Yanchenko, Aleksandr Yakovlevich; Podkopaeva, Viktoriya Aleksandrovna On some properties of first order algebraic differential equations. (Russian) Zbl 1425.34102 Sib. Èlektron. Mat. Izv. 16, 893-901 (2019). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M03 34M15 34M05 34M10 × Cite Format Result Cite Review PDF Full Text: DOI
Lü, Feng On algebraic differential equations of gamma function and Riemann zeta function. (English) Zbl 1420.34102 Ann. Acad. Sci. Fenn., Math. 44, No. 2, 1031-1040 (2019). MSC: 34M15 11M06 33B15 30D30 × Cite Format Result Cite Review PDF Full Text: DOI
Bibikov, Pavel On the Lie problem in PDEs and effective classification of the differential equations with algebraic coefficients. (English) Zbl 1415.58003 J. Geom. Phys. 136, 39-44 (2019). Reviewer: Miroslaw Doupovec (Brno) MSC: 58A20 34M15 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuan; Kim, Soojung; Yu, Yong Twisted solutions to a simplified Ericksen-Leslie equation. (English) Zbl 1410.58005 Arch. Ration. Mech. Anal. 232, No. 1, 303-336 (2019). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 58E40 53C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad On maximal acceleration and quantum acceleratum operator in quantum mechanics. (English) Zbl 1423.81064 Quantum Stud. Math. Found. 5, No. 4, 543-550 (2018). MSC: 81Q05 35R09 70H40 22E43 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Jena, S. K.; Chakraverty, Snehashish Solving fuzzy static structural problems using symmetric group method. (English) Zbl 1458.74144 Chakraverty, Snehashish (ed.) et al., Recent advances in applications of computational and fuzzy mathematics. Singapore: Springer. 95-107 (2018). MSC: 74S99 74K10 22E70 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Chang-Shou Conformal geometry and the Painlevé VI equation. (English) Zbl 1410.34265 Ji, Lizhen (ed.) et al., Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds and Picard-Fuchs equations. Based on the conference, Institute Mittag-Leffler, Stockholm, Sweden, July 13–18, 2015. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 42, 187-217 (2018). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M55 34M56 30B50 53A30 35J91 12H05 × Cite Format Result Cite Review PDF
Su, Xianfeng; Zhang, Qingcai On meromorphic solutions of nonlinear complex differential equations. (English) Zbl 1413.34296 Commun. Math. Res. 34, No. 2, 149-160 (2018). MSC: 34M05 34M15 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Eldredge, Nathaniel; Gordina, Maria; Saloff-Coste, Laurent Left-invariant geometries on \(\operatorname{SU}(2)\) are uniformly doubling. (English) Zbl 1407.53034 Geom. Funct. Anal. 28, No. 5, 1321-1367 (2018). Reviewer: Ioan Pop (Iaşi) MSC: 53C21 35K08 53C17 58J35 58J60 22C05 22E30 57N10 51M10 53C30 57M25 58D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calligaris, P.; Mazzocco, M. Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system. (English) Zbl 1402.37082 J. Integrable Syst. 3, Article ID xyy005, 35 p. (2018). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37K20 20F36 34M56 14D20 20F65 32G34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Li-zhen; Wang, Ding-jiang; Shen, Shou-feng; Huang, Qing Lie point symmetry analysis of the Harry-Dym type equation with Riemann-Liouville fractional derivative. (English) Zbl 1403.35267 Acta Math. Appl. Sin., Engl. Ser. 34, No. 3, 469-477 (2018). MSC: 35Q53 35R11 34A08 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Dweik, Ahmad Y.; Mustafa, M. T.; Mahomed, Fazal Mahmood Invariant characterization of scalar third-order ODEs that admit the maximal point symmetry Lie algebra. (English) Zbl 1394.76107 Math. Methods Appl. Sci. 41, No. 12, 4714-4723 (2018). MSC: 76M60 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchstaber, V. M.; Tertychnyi, S. I. Representations of the Klein group determined by quadruples of polynomials associated with the double confluent Heun equation. (English. Russian original) Zbl 1395.34086 Math. Notes 103, No. 3, 357-371 (2018); translation from Mat. Zametki 103, No. 3, 346-363 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 34M03 20C05 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
Sebbar, Ahmed; Wone, Oumar Anharmonic solutions to the Riccati equation and elliptic modular functions. (English) Zbl 1435.12004 Forum Math. 30, No. 2, 433-455 (2018). Reviewer: Vladimir P. Kostov (Nice) MSC: 12H20 11F03 33E05 12H05 34M15 34A26 34A34 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Combot, Thierry Integrability of the one dimensional Schrödinger equation. (English) Zbl 1387.81236 J. Math. Phys. 59, No. 2, 022105, 32 p. (2018). Reviewer: Willard Miller jun. (Minneapolis) MSC: 81R12 81Q10 34L40 34M35 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belinski, Vladimir; Henneaux, Marc The cosmological singularity. (English) Zbl 1378.83002 Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press (ISBN 978-1-107-04747-1/hbk; 978-1-107-23933-3/ebook). xii, 263 p. (2018). Reviewer: Hans-Jürgen Schmidt (Potsdam) MSC: 83-02 83F05 85A40 00A79 83C75 83E50 83C10 53Z05 83C15 83C05 20F55 83C60 17B67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haraoka, Yoshishige; Matsumura, Toshiya Three-dimensional representations of braid groups associated with some finite complex reflection groups. (English) Zbl 1469.32009 Int. J. Math. 28, No. 14, Article ID 1750109, 44 p. (2017). MSC: 32G34 14N20 34M35 58A17 × Cite Format Result Cite Review PDF Full Text: DOI
Bakhshi, Z.; Panahi, H.; Golchehre, S. G. Four-dimensional quantum oscillator and magnetic monopole with \(\mathrm{U}(1)\) dynamical group. (English) Zbl 1375.81080 Mod. Phys. Lett. A 32, No. 30, Article ID 1750161, 7 p. (2017). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Joshi, Nalini; Nakazono, Nobutaka Elliptic Painlevé equations from next-nearest-neighbor translations on the \(E_8^{(1)}\) lattice. (English) Zbl 1381.39010 J. Phys. A, Math. Theor. 50, No. 30, Article ID 305205, 17 p. (2017). Reviewer: Oleg Anashkin (Simferopol) MSC: 39A12 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Varin, V. P. Special solutions to Chazy equation. (English. Russian original) Zbl 1407.34125 Comput. Math. Math. Phys. 57, No. 2, 211-235 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 2, 210-236 (2017). Reviewer: Thomas Dreyfus (Paris) MSC: 34M99 33D15 33E05 × Cite Format Result Cite Review PDF Full Text: DOI
Ramani, A.; Grammaticos, B.; Willox, R. Miura transformations for discrete Painlevé equations coming from the affine \(\operatorname{E}_{8}\) Weyl group. (English) Zbl 1365.39003 J. Math. Phys. 58, No. 4, 043502, 10 p. (2017). MSC: 39A12 34M55 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fujii, Hiroyuki; Okawa, Shinpei; Yamada, Yukio; Hoshi, Yoko; Watanabe, Masao Renormalization of the highly forward-peaked phase function using the double exponential formula for radiative transfer. (English) Zbl 1373.82055 J. Math. Chem. 54, No. 10, 2048-2061 (2016). MSC: 82C28 45K05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Jin, Jin; Huang, Diao; Jian, Min Meromorphic admissible solution of systems of higher order nonlinear complex differential eguations. (Chinese. English summary) Zbl 1374.34365 J. Northwest Norm. Univ., Nat. Sci. 52, No. 2, 24-28 (2016). MSC: 34M05 34M15 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Morales-Ruiz, Juan J. Integrable systems and differential Galois theory. (English) Zbl 1418.37096 Bolsinov, Alexey et al., Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev. Basel: Birkhäuser/Springer. Adv. Courses in Math., CRM Barcelona, 1-33 (2016). MSC: 37J35 37J30 34M50 12H05 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
Joshi, Nalini; Nakazono, Nobutaka; Shi, Yang Lattice equations arising from discrete Painlevé systems. II: \({A}_{4}^{(1)}\) case. (English) Zbl 1357.81111 J. Phys. A, Math. Theor. 49, No. 49, Article ID 495201, 39 p. (2016). MSC: 81R12 39A12 34M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Combot, Thierry Integrable planar homogeneous potentials of degree \(- 1\) with small eigenvalues. (Les potentiels intégrables homogènes de degré \(-1\) du plan avec petites valeurs propres.) (English. French summary) Zbl 1417.37199 Ann. Inst. Fourier 66, No. 6, 2253-2298 (2016). MSC: 37J35 37J30 34M15 34M35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Miri, Sofiane El-Hadi Painlevé equation PII and strongly normal extensions. (English) Zbl 1388.12010 Demonstr. Math. 49, No. 4, 386-397 (2016). MSC: 12H05 34M55 34M15 × Cite Format Result Cite Review PDF Full Text: DOI
Arreche, Carlos E. On the computation of the parameterized differential Galois group for a second-order linear differential equation with differential parameters. (English) Zbl 1338.34167 J. Symb. Comput. 75, 25-55 (2016). MSC: 34M03 12H20 33F10 34M15 37K20 × Cite Format Result Cite Review PDF Full Text: DOI
de Saint-Gervais, Henri Paul [Alvarez, Aurélien; Bavard, Christophe; Béguin, François; Bergeron, Nicolas; Bourrigan, Maxime; Deroin, Bertrand; Dumitrescu, Sorin; Frances, Charles; Ghys, Étienne; Guilloux, Antonin; Loray, Frank; Popescu-Pampu, Patrick; Py, Pierre; Sévennec, Bruno; Sikorav, Jean-Claude] Uniformization of Riemann surfaces. Revisiting a hundred-year-old theorem. Translated from the French by Robert G. Burns. (English) Zbl 1332.30001 Heritage of European Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-145-3/hbk; 978-3-03719-545-1/ebook). xxx, 482 p. (2016). MSC: 30-03 01A60 30F10 × Cite Format Result Cite Review PDF Full Text: DOI
Lei, Jinzhi On a classification of polynomial differential operators with respect to the type of first integrals. (English) Zbl 1328.12011 J. Differ. Equations 260, No. 3, 1993-2025 (2016). MSC: 12H05 34M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Bao Qin; Ye, Zhuan Algebraic differential equations with functional coefficients concerning \(\zeta\) and \(\Gamma\). (English) Zbl 1353.34110 J. Differ. Equations 260, No. 2, 1456-1464 (2016). Reviewer: Ting-Bin Cao (Nanchang) MSC: 34M15 33B15 11M06 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Changizi, M. Amin; Stiharu, Ion Lie group analysis of non-linear dynamic of micro structures under electrostatic field. (English) Zbl 1383.65071 J. Comput. Methods Sci. Eng. 15, No. 3, 327-338 (2015). MSC: 65L05 34A34 78A30 × Cite Format Result Cite Review PDF Full Text: DOI
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro Flat structures without potentials. (English) Zbl 1399.32018 Rev. Roum. Math. Pures Appl. 60, No. 4, 481-505 (2015). MSC: 32S30 32G10 34M55 35N15 34M56 35N10 32S25 × Cite Format Result Cite Review PDF
Liao, Liangwen The new developments in the research of nonlinear complex differential equations. (English) Zbl 1349.34388 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 39, No. 4, 331-339 (2015). MSC: 34M15 34M05 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Aschenbrenner, Matthias; Bergweiler, Walter Julia’s equation and differential transcendence. (English) Zbl 1345.30029 Ill. J. Math. 59, No. 2, 277-294 (2015). Reviewer: Olga M. Katkova (Boston) MSC: 30D05 34M15 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Ibragimov, Nail H. Tensors and Riemannian geometry. With applications to differential equations. (English) Zbl 1338.53002 De Gruyter Textbook. Berlin: De Gruyter; Beijing: Higher Education Press (ISBN 978-3-11-037949-5/pbk; 978-3-11-037950-1/ebook). x, 187 p. (2015). Reviewer: Eleutherius Symeonidis (Bucureşti) MSC: 53-01 53B20 53B50 35A30 53B30 × Cite Format Result Cite Review PDF Full Text: DOI
Goudenège, Ludovic; Manca, Luigi Asymptotic properties of stochastic Cahn-Hilliard equation with singular nonlinearity and degenerate noise. (English) Zbl 1321.60134 Stochastic Processes Appl. 125, No. 10, 3785-3800 (2015). MSC: 60H15 60H07 37L40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Reiter, Stefan Halphen’s transform and middle convolution. (English) Zbl 1326.34134 J. Reine Angew. Math. 704, 1-20 (2015). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M35 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grammaticos, B.; Ramani, A. Elliptic and multiplicative discrete Painlevé equations from the affine Weyl group \(E_{8}\). (English) Zbl 1315.39002 J. Phys. A, Math. Theor. 48, No. 16, Article ID 16FT02, 16 p. (2015). MSC: 39A12 34M55 39A10 × Cite Format Result Cite Review PDF Full Text: DOI
Hassani, S.; Maillard, J.-M. Scaling functions in the square Ising model. (English) Zbl 1323.82008 J. Phys. A, Math. Theor. 48, No. 11, Article ID 115205, 29 p. (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 34M55 47E05 34M03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Gosson, Maurice A. Hamiltonian deformations of Gabor frames: first steps. (English) Zbl 1306.81042 Appl. Comput. Harmon. Anal. 38, No. 2, 196-221 (2015). MSC: 81Q05 81R30 81Q20 81Q70 70H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van der Put, Marius; Top, Jaap Stratified order one differential equations in positive characteristic. (English) Zbl 1312.34134 J. Symb. Comput. 68, Part 2, 308-315 (2015). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M15 14E20 14E22 14F10 12H20 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Kindybaliuk, Arkadii; Prytula, Mykola Combined algorithm for finding conservation laws and implectic operators for the Boussinesq-Burgers nonlinear dynamical system and its finite dimensional reductions. (English) Zbl 1524.35506 J. Appl. Math. Comput. Mech. 13, No. 3, 85-99 (2014). MSC: 35Q51 37K06 76M60 35B06 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Wenjun; Li, Yezhou; Qi, Jianming All meromorphic solutions of some algebraic differential equations and their applications. (English) Zbl 1351.34103 Adv. Difference Equ. 2014, Paper No. 105, 14 p. (2014). MSC: 34M05 30D35 34M15 34A05 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Chenguang; Deng, Mingli Contact transformations and their effects on the establishment of Lie group theory. (Chinese. English summary) Zbl 1340.22001 Stud. Hist. Nat. Sci. 33, No. 1, 83-93 (2014). MSC: 22-03 01A55 × Cite Format Result Cite Review PDF
Fu, Chunhong Some special solvable subgroups of \(SL(n,C)\) and their applications. (English) Zbl 1324.35007 J. Shenyang Norm. Univ., Nat. Sci. 32, No. 4, 529-532 (2014). MSC: 35G05 20H20 20F16 34M55 34M35 × Cite Format Result Cite Review PDF Full Text: DOI
Anantharaman, Nalini; Léautaud, Matthieu Sharp polynomial decay rates for the damped wave equation on the torus. (English) Zbl 1295.35075 Anal. PDE 7, No. 1, 159-214 (2014). MSC: 35B40 35A21 35B35 35L05 35P20 35S05 93C20 58J45 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Alaoui, Aziz El Kacimi; Hmili, Hadda Cohomological equations and invariant distributions on a compact Lie group. (English) Zbl 1454.22010 Hokkaido Math. J. 43, No. 2, 151-173 (2014). MSC: 22E41 37A05 37C10 53C12 58A30 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Taotao; Ren, Hang; Xue, Kang Dirac’s Hamiltonian and Bogoliubov’s Hamiltonian as representation of the braid group. (English) Zbl 1293.81018 Quantum Inf. Process. 13, No. 2, 391-399 (2014). MSC: 81Q05 20F36 81P40 81Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Contreras, Manuel D.; Díaz-Madrigal, Santiago; Gumenyuk, Pavel Local duality in Loewner equations. (English) Zbl 1316.30025 J. Nonlinear Convex Anal. 15, No. 2, 269-297 (2014). Reviewer: Stamatis Pouliasis (Istanbul) MSC: 30C80 30D05 30C35 34M15 × Cite Format Result Cite Review PDF Full Text: arXiv Link