Chen, Wenxia; Tang, Liangping; Tian, Lixin; Yang, Xiyan Breather and multiwave solutions to an extended (3+1)-dimensional Jimbo-Miwa-like equation. (English) Zbl 07727152 Appl. Math. Lett. 145, Article ID 108785, 8 p. (2023). MSC: 35Q53 35C08 37K35 PDFBibTeX XMLCite \textit{W. Chen} et al., Appl. Math. Lett. 145, Article ID 108785, 8 p. (2023; Zbl 07727152) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui; Du, Zhong; Chen, Yu-Qi Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system. (English) Zbl 1503.35161 Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 153, 13 p. (2022). MSC: 35Q35 78A40 78A15 76Q05 76X05 35C08 35A22 37K35 58J72 68W30 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 4, Paper No. 153, 13 p. (2022; Zbl 1503.35161) Full Text: DOI
Zhou, Zixiang Darboux transformation and exact solutions for two dimensional \(A_{2n -1}^{(2)}\) Toda equations. (English) Zbl 1502.35142 Chin. Ann. Math., Ser. B 43, No. 5, 833-844 (2022). MSC: 35Q51 35Q53 37K10 37K35 17B67 PDFBibTeX XMLCite \textit{Z. Zhou}, Chin. Ann. Math., Ser. B 43, No. 5, 833--844 (2022; Zbl 1502.35142) Full Text: DOI
Wu, Fan; Huang, Lin N-soliton solutions for the coupled extended modified KdV equations via Riemann-Hilbert approach. (English) Zbl 1501.35354 Appl. Math. Lett. 134, Article ID 108390, 7 p. (2022). MSC: 35Q53 35Q15 37K15 37K35 37K10 35C08 35B40 PDFBibTeX XMLCite \textit{F. Wu} and \textit{L. Huang}, Appl. Math. Lett. 134, Article ID 108390, 7 p. (2022; Zbl 1501.35354) Full Text: DOI
Gerdjikov, Vladimir S. Nonlinear evolution equations related to Kac-Moody algebras \(A_r^{(1)}\): spectral aspects. (English) Zbl 1500.35258 Turk. J. Math. 46, No. 5, SI-2, 1828-1844 (2022). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q15 35Q53 35B40 37K35 35K15 17B67 17B81 81R10 PDFBibTeX XMLCite \textit{V. S. Gerdjikov}, Turk. J. Math. 46, No. 5, 1828--1844 (2022; Zbl 1500.35258) Full Text: DOI
Morales-Salgado, Vicente Said An affine Weyl group characterization of polynomial Heisenberg algebras. (English) Zbl 1502.81038 Ann. Phys. 444, Article ID 169037, 11 p. (2022). MSC: 81Q60 81S05 35R03 11F68 34M55 37K35 81R05 PDFBibTeX XMLCite \textit{V. S. Morales-Salgado}, Ann. Phys. 444, Article ID 169037, 11 p. (2022; Zbl 1502.81038) Full Text: DOI arXiv
Zhou, Tian-Yu; Tian, Bo Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber. (English) Zbl 1496.35374 Appl. Math. Lett. 133, Article ID 108280, 6 p. (2022). MSC: 35Q55 78A60 37K35 37K40 35C08 PDFBibTeX XMLCite \textit{T.-Y. Zhou} and \textit{B. Tian}, Appl. Math. Lett. 133, Article ID 108280, 6 p. (2022; Zbl 1496.35374) Full Text: DOI
Wael, Shrouk; Seadawy, Aly R.; Moawad, S. M.; EL-Kalaawy, O. H. Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English) Zbl 1504.35386 J. Geom. Phys. 178, Article ID 104581, 25 p. (2022). MSC: 35Q35 35Q31 76B15 35B35 37K35 35A30 35J05 58J72 PDFBibTeX XMLCite \textit{S. Wael} et al., J. Geom. Phys. 178, Article ID 104581, 25 p. (2022; Zbl 1504.35386) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Auto-Bäcklund transformation, similarity reductions and solitons of an extended \((2+1)\)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 1490.35315 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022). MSC: 35Q35 37K35 37N10 76B15 35C08 68W30 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 60, 15 p. (2022; Zbl 1490.35315) Full Text: DOI
Li, Fei; Yao, Yuqin Multisoliton and rational solutions for the extended fifth-order KdV equation in fluids with self-consistent sources. (English. Russian original) Zbl 1515.37077 Theor. Math. Phys. 210, No. 2, 184-197 (2022); translation from Teor. Mat. Fiz. 210, No. 2, 213-228 (2022). MSC: 37K35 37K40 35Q53 PDFBibTeX XMLCite \textit{F. Li} and \textit{Y. Yao}, Theor. Math. Phys. 210, No. 2, 184--197 (2022; Zbl 1515.37077); translation from Teor. Mat. Fiz. 210, No. 2, 213--228 (2022) Full Text: DOI
Wu, Huiling; Chen, Qiaoyun; Song, Junfeng Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1486.35367 Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022). Reviewer: Iroda Baltaeva (Urganch) MSC: 35Q53 37K35 37K10 35C08 33E17 PDFBibTeX XMLCite \textit{H. Wu} et al., Appl. Math. Lett. 124, Article ID 107640, 7 p. (2022; Zbl 1486.35367) Full Text: DOI
Xu, Yuanqing; Zheng, Xiaoxiao; Xin, Jie New non-traveling wave solutions for (3+1)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1525.35208 AIMS Math. 6, No. 3, 2996-3008 (2021). MSC: 35Q53 35C08 35C07 37K35 35A30 PDFBibTeX XMLCite \textit{Y. Xu} et al., AIMS Math. 6, No. 3, 2996--3008 (2021; Zbl 1525.35208) Full Text: DOI
Lou, Yu; Zhang, Yi; Ye, Rusuo Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. (English) Zbl 1479.35723 Math. Methods Appl. Sci. 44, No. 17, 13711-13722 (2021). MSC: 35Q51 35Q53 35C07 35C08 35B10 37K10 37K35 33E05 PDFBibTeX XMLCite \textit{Y. Lou} et al., Math. Methods Appl. Sci. 44, No. 17, 13711--13722 (2021; Zbl 1479.35723) Full Text: DOI
Li, Zhi-Qiang; Tian, Shou-Fu A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method. (English) Zbl 1479.35745 Appl. Math. Lett. 120, Article ID 107254, 8 p. (2021). MSC: 35Q53 35C08 37K35 PDFBibTeX XMLCite \textit{Z.-Q. Li} and \textit{S.-F. Tian}, Appl. Math. Lett. 120, Article ID 107254, 8 p. (2021; Zbl 1479.35745) Full Text: DOI
Bakalov, Bojko; Yadavalli, Anila Darboux transformations and Fay identities for the extended bigraded Toda hierarchy. (English) Zbl 1511.37084 J. Phys. A, Math. Theor. 53, No. 6, Article ID 065202, 24 p. (2020). MSC: 37K35 37K10 53D45 PDFBibTeX XMLCite \textit{B. Bakalov} and \textit{A. Yadavalli}, J. Phys. A, Math. Theor. 53, No. 6, Article ID 065202, 24 p. (2020; Zbl 1511.37084) Full Text: DOI arXiv
Li, Chuanzhong Ghost symmetries and multi-fold Darboux transformations of extended Toda hierarchy. (English) Zbl 1461.37069 Chin. Ann. Math., Ser. B 41, No. 5, 697-716 (2020). MSC: 37K06 37K10 37K35 PDFBibTeX XMLCite \textit{C. Li}, Chin. Ann. Math., Ser. B 41, No. 5, 697--716 (2020; Zbl 1461.37069) Full Text: DOI
Gao, Xin-Yi; Guo, Yong-Jiang; Shan, Wen-Rui Hetero-Bäcklund transformation and similarity reduction of an extended (2+1)-dimensional coupled Burgers system in fluid mechanics. (English) Zbl 1448.37084 Phys. Lett., A 384, No. 31, Article ID 126788, 4 p. (2020). MSC: 37K35 35Q53 PDFBibTeX XMLCite \textit{X.-Y. Gao} et al., Phys. Lett., A 384, No. 31, Article ID 126788, 4 p. (2020; Zbl 1448.37084) Full Text: DOI
Kaur, Bikramjeet; Gupta, R. K. Time fractional (2+1)-dimensional Wu-Zhang system: dispersion analysis, similarity reductions, conservation laws, and exact solutions. (English) Zbl 1450.35272 Comput. Math. Appl. 79, No. 4, 1031-1048 (2020). MSC: 35R11 35A30 35B06 PDFBibTeX XMLCite \textit{B. Kaur} and \textit{R. K. Gupta}, Comput. Math. Appl. 79, No. 4, 1031--1048 (2020; Zbl 1450.35272) Full Text: DOI
Kumar, Sachin; Kumar, Dharmendra Solitary wave solutions of \((3+1)\)-dimensional extended Zakharov-Kuznetsov equation by Lie symmetry approach. (English) Zbl 1442.35382 Comput. Math. Appl. 77, No. 8, 2096-2113 (2019). MSC: 35Q53 35A30 35C08 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{D. Kumar}, Comput. Math. Appl. 77, No. 8, 2096--2113 (2019; Zbl 1442.35382) Full Text: DOI
Crabb, Matthew; Akhmediev, N. Two-breather solutions for the class I infinitely extended nonlinear Schrödinger equation and their special cases. (English) Zbl 1430.37083 Nonlinear Dyn. 98, No. 1, 245-255 (2019). MSC: 37K40 35Q55 37K35 PDFBibTeX XMLCite \textit{M. Crabb} and \textit{N. Akhmediev}, Nonlinear Dyn. 98, No. 1, 245--255 (2019; Zbl 1430.37083) Full Text: DOI arXiv
Govinder, K. S.; Narain, R.; Okeke, Justina E. New exact solutions and conservation laws of a class of Kuramoto Sivashinsky (KS) equations. (English) Zbl 1404.35386 Quaest. Math. 42, No. 1, 93-112 (2019). MSC: 35Q53 35A30 35B06 70G65 70S10 PDFBibTeX XMLCite \textit{K. S. Govinder} et al., Quaest. Math. 42, No. 1, 93--112 (2019; Zbl 1404.35386) Full Text: DOI
Snadden, John; Ridout, David; Wood, Simon An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula. (English) Zbl 1450.17009 Lett. Math. Phys. 108, No. 11, 2363-2423 (2018). MSC: 17B69 81T40 17B10 17B67 PDFBibTeX XMLCite \textit{J. Snadden} et al., Lett. Math. Phys. 108, No. 11, 2363--2423 (2018; Zbl 1450.17009) Full Text: DOI arXiv
Millionshchikov, Dmitry Lie algebras of slow growth and Klein-Gordon PDE. (English) Zbl 1440.17023 Algebr. Represent. Theory 21, No. 5, 1037-1069 (2018). MSC: 17B80 17B67 35A30 35B06 35L71 PDFBibTeX XMLCite \textit{D. Millionshchikov}, Algebr. Represent. Theory 21, No. 5, 1037--1069 (2018; Zbl 1440.17023) Full Text: DOI
Barros, Manuel; Ferrández, Ángel; Garay, Óscar J. Dynamics of charges and solitons. (English) Zbl 1381.53044 J. Geom. Phys. 125, 12-22 (2018). MSC: 53B50 53B21 53C42 37K35 35Q51 PDFBibTeX XMLCite \textit{M. Barros} et al., J. Geom. Phys. 125, 12--22 (2018; Zbl 1381.53044) Full Text: DOI
Křižka, Libor; Somberg, Petr Conformal Galilei algebras, symmetric polynomials and singular vectors. (English) Zbl 1448.17027 Lett. Math. Phys. 108, No. 1, 1-44 (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 17B80 20B30 35A30 58J70 PDFBibTeX XMLCite \textit{L. Křižka} and \textit{P. Somberg}, Lett. Math. Phys. 108, No. 1, 1--44 (2018; Zbl 1448.17027) Full Text: DOI arXiv
Gordoa, P. R.; Pickering, A. On an extended second Painlevé hierarchy. (English) Zbl 1372.34135 J. Differ. Equations 263, No. 7, 4070-4125 (2017). Reviewer: Davide Masoero (Lisboa) MSC: 34M55 37K35 37K10 33E17 PDFBibTeX XMLCite \textit{P. R. Gordoa} and \textit{A. Pickering}, J. Differ. Equations 263, No. 7, 4070--4125 (2017; Zbl 1372.34135) Full Text: DOI
Viña, Andrés Branes on \(G\)-manifolds. (English) Zbl 1370.57015 J. Geom. Symmetry Phys. 43, 47-71 (2017). Reviewer: Cenap Özel (Bolu) MSC: 57S20 55N91 14F05 81T30 PDFBibTeX XMLCite \textit{A. Viña}, J. Geom. Symmetry Phys. 43, 47--71 (2017; Zbl 1370.57015) Full Text: DOI arXiv
Polat, Gülden Gün; Özer, Teoman On analysis of nonlinear dynamical systems via methods connected with \(\lambda \)-symmetry. (English) Zbl 1349.37014 Nonlinear Dyn. 85, No. 3, 1571-1595 (2016). MSC: 37C20 93B18 PDFBibTeX XMLCite \textit{G. G. Polat} and \textit{T. Özer}, Nonlinear Dyn. 85, No. 3, 1571--1595 (2016; Zbl 1349.37014) Full Text: DOI
Abd-el-Malek, Mina B.; Amin, Amr M. New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method. (English) Zbl 1410.35162 Appl. Math. Comput. 261, 408-418 (2015). MSC: 35Q53 35A30 35C05 37K40 35C08 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} and \textit{A. M. Amin}, Appl. Math. Comput. 261, 408--418 (2015; Zbl 1410.35162) Full Text: DOI
Li, Chuanzhong; He, Jingsong The extended \(Z_N\)-Toda hierarchy. (English. Russian original) Zbl 1339.37055 Theor. Math. Phys. 185, No. 2, 1614-1635 (2015); translation from Teor. Mat. Fiz. 185, No. 2, 289-312 (2015). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. He}, Theor. Math. Phys. 185, No. 2, 1614--1635 (2015; Zbl 1339.37055); translation from Teor. Mat. Fiz. 185, No. 2, 289--312 (2015) Full Text: DOI arXiv
Wang, Wei On 3-gauge transformations, 3-curvatures, and Gray-categories. (English) Zbl 1300.81065 J. Math. Phys. 55, No. 4, 043506, 32 p. (2014). Reviewer: Sergiy Koshkin (Houston) MSC: 81T30 81T13 81T25 22E70 05E45 PDFBibTeX XMLCite \textit{W. Wang}, J. Math. Phys. 55, No. 4, 043506, 32 p. (2014; Zbl 1300.81065) Full Text: DOI arXiv
Wang, Hui; Xia, Tiecheng Bell polynomial approach to an extended Korteweg-de Vries equation. (English) Zbl 1304.37052 Math. Methods Appl. Sci. 37, No. 10, 1476-1487 (2014). MSC: 37K10 37K05 37K35 37K40 PDFBibTeX XMLCite \textit{H. Wang} and \textit{T. Xia}, Math. Methods Appl. Sci. 37, No. 10, 1476--1487 (2014; Zbl 1304.37052) Full Text: DOI
Xu, Peng-Bo; Gao, Yi-Tian; Yu, Xin; Wang, Lei; Lin, Guo-Dong Painlevé analysis, soliton solutions and Bäcklund transformation for extended \((2+1)\)-dimensional Konopelchenko-Dubrovsky equations in fluid mechanics via symbolic computation. (English) Zbl 1264.35179 Commun. Theor. Phys. 55, No. 6, 1017-1023 (2011). MSC: 35Q35 76B15 76F10 37K35 33F10 35C08 33E17 PDFBibTeX XMLCite \textit{P.-B. Xu} et al., Commun. Theor. Phys. 55, No. 6, 1017--1023 (2011; Zbl 1264.35179) Full Text: DOI
Liu, Chun-Ping; Zhou, Ling A new auto-Bäcklund transformation and two-soliton solution for \((3+1)\)-dimensional Jimbo-Miwa equation. (English) Zbl 1264.37040 Commun. Theor. Phys. 55, No. 2, 213-216 (2011). MSC: 37K40 35Q51 35C08 37K35 PDFBibTeX XMLCite \textit{C.-P. Liu} and \textit{L. Zhou}, Commun. Theor. Phys. 55, No. 2, 213--216 (2011; Zbl 1264.37040) Full Text: DOI
Shang, Yadong; Huang, Yong The Bäcklund transformations and abundant explicit exact solutions for the AKNS-SWW equation. (English) Zbl 1221.35361 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2445-2455 (2011). MSC: 35Q53 35C07 35C08 37K35 PDFBibTeX XMLCite \textit{Y. Shang} and \textit{Y. Huang}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2445--2455 (2011; Zbl 1221.35361) Full Text: DOI
Shang, Yadong; Huang, Yong; Yuan, Wenjun Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation. (English) Zbl 1219.37052 Appl. Math. Comput. 217, No. 17, 7172-7183 (2011). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 PDFBibTeX XMLCite \textit{Y. Shang} et al., Appl. Math. Comput. 217, No. 17, 7172--7183 (2011; Zbl 1219.37052) Full Text: DOI
Zhao, Zhanhui; Dai, Zhengde Explicit non-travelling wave solutions for non-integrable \((3+1)\)-dimensional systems. (English) Zbl 1401.35280 Int. J. Nonlinear Sci. Numer. Simul. 11, No. 9, 679-688 (2010). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{Z. Zhao} and \textit{Z. Dai}, Int. J. Nonlinear Sci. Numer. Simul. 11, No. 9, 679--688 (2010; Zbl 1401.35280) Full Text: DOI
Zhao, Lei; Zhou, Shuigeng Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation. (English) Zbl 1200.35279 Appl. Math. Comput. 217, No. 2, 590-598 (2010). MSC: 35Q53 35C07 37K10 37K35 35C08 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{S. Zhou}, Appl. Math. Comput. 217, No. 2, 590--598 (2010; Zbl 1200.35279) Full Text: DOI
Liu, Hanze; Li, Jibin Lie symmetry analysis and exact solutions for the extended mKdV equation. (English) Zbl 1223.37079 Acta Appl. Math. 109, No. 3, 1107-1119 (2010). Reviewer: Min Ho Lee (Cedar Falls) MSC: 37K05 17B80 35A30 35Q53 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Li}, Acta Appl. Math. 109, No. 3, 1107--1119 (2010; Zbl 1223.37079) Full Text: DOI
Abdel Rady, A. S.; Osman, E. S.; Khalfallah, Mohammed Multi soliton solution for the system of coupled Korteweg-de Vries equations. (English) Zbl 1163.35467 Appl. Math. Comput. 210, No. 1, 177-181 (2009). MSC: 35Q53 35A30 35Q51 35B10 37K10 37K35 PDFBibTeX XMLCite \textit{A. S. Abdel Rady} et al., Appl. Math. Comput. 210, No. 1, 177--181 (2009; Zbl 1163.35467) Full Text: DOI
Zhang, Chun-Yi; Gao, Yi-Tian; Xu, Tao; Li, Li-Li; Sun, Fu-Wei; Li, Juan; Meng, Xiang-Hua; Wei, Guang-Mei Various methods for constructing auto-Bäcklund transformations for a generalized variable-coefficient Korteweg-de Vries model from plasmas and fluid dynamics. (English) Zbl 1392.35276 Commun. Theor. Phys. 49, No. 3, 673-678 (2008). MSC: 35Q53 35A22 37K35 PDFBibTeX XMLCite \textit{C.-Y. Zhang} et al., Commun. Theor. Phys. 49, No. 3, 673--678 (2008; Zbl 1392.35276) Full Text: DOI
Sun, Fu-Wei; Gao, Yi-Tian; Zhang, Chun-Yi; Xu, Xiao-Ge Bäcklund transformation and analytic solutions for a generalized variable-coefficient modified Korteweg-de Vries model from fluid dynamics and plasmas. (English) Zbl 1175.35130 Int. J. Mod. Phys. C 19, No. 11, 1659-1671 (2008). MSC: 35Q53 35Q51 37K35 76X05 82D10 PDFBibTeX XMLCite \textit{F.-W. Sun} et al., Int. J. Mod. Phys. C 19, No. 11, 1659--1671 (2008; Zbl 1175.35130) Full Text: DOI
Mikhailov, Andrei Bäcklund transformations, energy shift and the plane wave limit. (English) Zbl 1218.83035 Adv. Theor. Math. Phys. 11, No. 6, 913-944 (2007). MSC: 83E30 35A30 37K35 81T30 PDFBibTeX XMLCite \textit{A. Mikhailov}, Adv. Theor. Math. Phys. 11, No. 6, 913--944 (2007; Zbl 1218.83035) Full Text: DOI arXiv Euclid
Mokler, Claus The maximal chains of the extended Bruhat orders on the \(\mathcal W\times\mathcal W\)-orbits of an infinite Renner monoid. (English) Zbl 1131.20028 Commun. Algebra 35, No. 7, 2298-2323 (2007). Reviewer: Huang Wenxue (Scarborough) MSC: 20F55 06A07 20G15 20M20 22E65 PDFBibTeX XMLCite \textit{C. Mokler}, Commun. Algebra 35, No. 7, 2298--2323 (2007; Zbl 1131.20028) Full Text: DOI arXiv
He, Qun; Cheng, Cheng On pluriharmonic maps into symplectic groups and factorization theorems. (Chinese. English summary) Zbl 1115.58016 J. Tongji Univ., Nat. Sci. 34, No. 10, 1408-1410, 1413 (2006). MSC: 58E20 31C10 37K35 58J72 PDFBibTeX XMLCite \textit{Q. He} and \textit{C. Cheng}, J. Tongji Univ., Nat. Sci. 34, No. 10, 1408--1410, 1413 (2006; Zbl 1115.58016)
Svinin, Andrei K. Integrable discrete equations derived by similarity reduction of the extended discrete KP hierarchy. (English) Zbl 1128.37047 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 005, 11 p. (2006). MSC: 37K10 37K35 37K60 39A10 PDFBibTeX XMLCite \textit{A. K. Svinin}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 005, 11 p. (2006; Zbl 1128.37047) Full Text: DOI arXiv EuDML EMIS
Zayed, E. M. E.; Zedan, Hassan A.; Gepreel, Khaled A. Group analysis and modified extended tanh-function to find the invariant solutions and soliton solutions for nonlinear Euler equations. (English) Zbl 1401.35014 Int. J. Nonlinear Sci. Numer. Simul. 5, No. 3, 221-234 (2004). MSC: 35C07 35A30 35Q31 PDFBibTeX XMLCite \textit{E. M. E. Zayed} et al., Int. J. Nonlinear Sci. Numer. Simul. 5, No. 3, 221--234 (2004; Zbl 1401.35014) Full Text: DOI
Bai, Cheng-Lin; Liu, Xi-Qiang; Zhao, Hong Bäcklund transformation and multiple soliton solutions for (3+1)-dimensional potential-YTSF equation. (English) Zbl 1167.37357 Commun. Theor. Phys. 42, No. 6, 827-830 (2004). MSC: 37K35 37K40 35Q51 35A30 PDFBibTeX XMLCite \textit{C.-L. Bai} et al., Commun. Theor. Phys. 42, No. 6, 827--830 (2004; Zbl 1167.37357) Full Text: DOI
Beidar, K. I.; Lin, Ying-Fen On surjective linear maps preserving commutativity. (English) Zbl 1074.16019 Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 6, 1023-1040 (2004). Reviewer: Charles Lanski (Los Angeles) MSC: 16W20 16W10 16N60 16U70 16R50 15A04 PDFBibTeX XMLCite \textit{K. I. Beidar} and \textit{Y.-F. Lin}, Proc. R. Soc. Edinb., Sect. A, Math. 134, No. 6, 1023--1040 (2004; Zbl 1074.16019) Full Text: DOI
Lou, S. Y.; Tang, Xiao-Yan Equations of arbitrary order invariant under the Kadomtsev-Petviashvili symmetry group. (English) Zbl 1070.37048 J. Math. Phys. 45, No. 3, 1020-1030 (2004). MSC: 37K10 17B67 35A30 37K30 81R10 PDFBibTeX XMLCite \textit{S. Y. Lou} and \textit{X.-Y. Tang}, J. Math. Phys. 45, No. 3, 1020--1030 (2004; Zbl 1070.37048) Full Text: DOI
Mokler, Claus Extending the Bruhat order and the length function from the Weyl group to the Weyl monoid. (English) Zbl 1128.22301 J. Algebra 275, No. 2, 815-855 (2004). MSC: 22E65 17B67 20F55 20M20 20G15 PDFBibTeX XMLCite \textit{C. Mokler}, J. Algebra 275, No. 2, 815--855 (2004; Zbl 1128.22301) Full Text: DOI arXiv
Palacián, Jesús On the asymptotic determination of invariant manifolds for autonomous ordinary differential equations. (English) Zbl 1049.37041 Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 57, 7-66 (2002). MSC: 37J40 37J15 34C20 34C30 70F05 70H09 81V55 PDFBibTeX XMLCite \textit{J. Palacián}, Rev. Acad. Ci. Exactas Fís. Quím. Nat. Zaragoza, II. Ser. 57, 7--66 (2002; Zbl 1049.37041)
Julia, Bernard L. Supergravities: From fields to branes. (English) Zbl 1030.83026 Grigoryan, A. (ed.) et al., XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17-22, 2000. Boston, MA: International Press. 447-453 (2001). MSC: 83E50 58J70 83E30 81T30 37K35 PDFBibTeX XMLCite \textit{B. L. Julia}, in: XIIIth international congress on mathematical physics. Proceedings of the ICMP 2000, Imperial College, London, Great Britain, July 17--22, 2000. Boston, MA: International Press. 447--453 (2001; Zbl 1030.83026) Full Text: arXiv
Bullough, R. K.; Bogoliubov, N. M.; Rybin, A. V.; Varzugin, G. G.; Timonen, J. Solitons of \(q\)-deformed quantum lattices and the quantum soliton. (English) Zbl 0995.81162 J. Phys. A, Math. Gen. 34, No. 48, 10463-10474 (2001). Reviewer: Dimitar A.Kolev (Sofia) MSC: 81V70 81R50 81Q40 35Q51 37K35 81T25 82D25 81T30 PDFBibTeX XMLCite \textit{R. K. Bullough} et al., J. Phys. A, Math. Gen. 34, No. 48, 10463--10474 (2001; Zbl 0995.81162) Full Text: DOI
Fehér, L.; Gábor, A.; Pusztai, B. G. On dynamical \(r\)-matrices obtained from Dirac reduction and their generalizations to affine Lie algebras. (English) Zbl 1002.17011 J. Phys. A, Math. Gen. 34, No. 36, 7335-7348 (2001). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B67 81R10 35A30 35Q40 PDFBibTeX XMLCite \textit{L. Fehér} et al., J. Phys. A, Math. Gen. 34, No. 36, 7335--7348 (2001; Zbl 1002.17011) Full Text: DOI arXiv
Noumi, Masatoshi; Yamada, Yasuhiko Birational Weyl group action arising from a nilpotent Poisson algebra. (English) Zbl 0991.37047 Kirillov, Anatol N. (ed.) et al., Physics and combinatorics. Proceedings of the international workshop, Nagoya, Japan, August 23-27, 1999. Singapore: World Scientific. 287-319 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K35 37A20 17B63 17B67 PDFBibTeX XMLCite \textit{M. Noumi} and \textit{Y. Yamada}, in: Physics and combinatorics. Proceedings of the international workshop, Nagoya, Japan, August 23--27, 1999. Singapore: World Scientific. 287--319 (2001; Zbl 0991.37047) Full Text: DOI arXiv
Tsiganov, A. V. Change of the time for the Toda lattice. (English) Zbl 0980.37021 J. Nonlinear Math. Phys. 8, Suppl., 278-282 (2001). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Nonlinear Math. Phys. 8, 278--282 (2001; Zbl 0980.37021) Full Text: DOI
Sjerova, M. M.; Ichans’ka, N. V. Invariance of the system of equations of penetrate theory with respect to the extended Galilei algebra. (Ukrainian. English summary) Zbl 0972.35162 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 107-111 (2000). MSC: 35Q72 35A30 37K30 PDFBibTeX XMLCite \textit{M. M. Sjerova} and \textit{N. V. Ichans'ka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2000, No. 4, 107--111 (2000; Zbl 0972.35162)
Leo, M.; Leo, R. A.; Soliani, G.; Tempesta, P. Non-local Bäcklund transformations for Harry Dym and Korteweg-de Vries equations. (English) Zbl 0964.35136 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 318-324 (2000). MSC: 35Q53 37K35 PDFBibTeX XMLCite \textit{M. Leo} et al., in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 318--324 (2000; Zbl 0964.35136)
Momoniat, E.; Mahomed, F. M. The existence of contact transformations for evolution-type equations. (English) Zbl 0945.35006 J. Phys. A, Math. Gen. 32, No. 49, 8721-8730 (1999). Reviewer: Michal Marvan (Opava) MSC: 35A30 35A22 35G25 PDFBibTeX XMLCite \textit{E. Momoniat} and \textit{F. M. Mahomed}, J. Phys. A, Math. Gen. 32, No. 49, 8721--8730 (1999; Zbl 0945.35006) Full Text: DOI
Jackiw, R.; Polychronakos, A. P. Fluid dynamical profile and constants of motion from \(d\)-branes. (English) Zbl 0965.76010 Commun. Math. Phys. 207, No. 1, 107-129 (1999). MSC: 76A99 76M60 81T30 83C55 PDFBibTeX XMLCite \textit{R. Jackiw} and \textit{A. P. Polychronakos}, Commun. Math. Phys. 207, No. 1, 107--129 (1999; Zbl 0965.76010) Full Text: DOI arXiv
Dai, Hui-Hui; Pavlov, Maxim Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. (English) Zbl 0946.35082 J. Phys. Soc. Japan 67, No. 11, 3655-3657 (1998). MSC: 35Q53 37K35 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{M. Pavlov}, J. Phys. Soc. Japan 67, No. 11, 3655--3657 (1998; Zbl 0946.35082) Full Text: DOI
Noumi, Masatoshi; Yamada, Yasuhiko Affine Weyl groups, discrete dynamical systems and Painlevé equations. (English) Zbl 0952.37031 Commun. Math. Phys. 199, No. 2, 281-295 (1998). Reviewer: Samir Musayev (Baku) MSC: 37K10 37K30 17B67 34M55 37K35 PDFBibTeX XMLCite \textit{M. Noumi} and \textit{Y. Yamada}, Commun. Math. Phys. 199, No. 2, 281--295 (1998; Zbl 0952.37031) Full Text: DOI arXiv
Klimenko, Elena; Sakuma, Makoto Two-generator discrete subgroups of \(\text{Isom}(\mathbb{H}^2)\) containing orientation-reversing elements. (English) Zbl 0928.20040 Geom. Dedicata 72, No. 3, 247-282 (1998). Reviewer: J.W.Cannon (Provo) MSC: 20H10 30F35 51F15 57M25 57M07 57S30 22E40 PDFBibTeX XMLCite \textit{E. Klimenko} and \textit{M. Sakuma}, Geom. Dedicata 72, No. 3, 247--282 (1998; Zbl 0928.20040) Full Text: DOI
Lledó, M. A.; Varadarajan, V. S. \(SU(2)\) Poisson-Lie \(T\) duality. (English) Zbl 0940.81038 Lett. Math. Phys. 45, No. 3, 247-257 (1998). Reviewer: M.Rajabov (Baku) MSC: 81T60 81T30 PDFBibTeX XMLCite \textit{M. A. Lledó} and \textit{V. S. Varadarajan}, Lett. Math. Phys. 45, No. 3, 247--257 (1998; Zbl 0940.81038) Full Text: DOI arXiv
Roman, Olena Nonlinear conformally invariant wave equations and their exact solutions. (English) Zbl 1054.81510 Shkil, Mykola (ed.) et al., Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7–13, 1997. Memorial Prof. W. Fushchych conference. Vol. 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine (ISBN 966-02-0343-8). 147-154 (1997). Reviewer: R. O. Popovych (Kyïv) MSC: 81R20 35L70 35C05 35A30 35Q40 PDFBibTeX XMLCite \textit{O. Roman}, in: Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7--13, 1997. Memorial Prof. W. Fushchych conference. Vol. 1. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 147--154 (1997; Zbl 1054.81510)
Senthil Velan, M.; Lakshmanan, M. Invariance analysis of the \((2+1)\)-dimensional long dispersive wave equation. (English) Zbl 0952.35005 J. Nonlinear Math. Phys. 4, No. 3-4, 251-260 (1997). MSC: 35A30 58J70 17B67 17B68 PDFBibTeX XMLCite \textit{M. Senthil Velan} and \textit{M. Lakshmanan}, J. Nonlinear Math. Phys. 4, No. 3--4, 251--260 (1997; Zbl 0952.35005) Full Text: DOI
Govinder, K. S.; Leach, P. G. L. A group theoretic approach to a class of second-order ordinary differential equations not possessing Lie point symmetries. (English) Zbl 0927.34007 J. Phys. A, Math. Gen. 30, No. 6, 2055-2068 (1997). MSC: 34A26 17B99 35A30 PDFBibTeX XMLCite \textit{K. S. Govinder} and \textit{P. G. L. Leach}, J. Phys. A, Math. Gen. 30, No. 6, 2055--2068 (1997; Zbl 0927.34007) Full Text: DOI
Fuchs, Jürgen Lectures on conformal field theory and Kac-Moody algebras. (English) Zbl 0920.17012 Horváth, Zalán (ed.) et al., Conformal field theories and integrable models. Lectures held at the Eötvös graduate course, Budapest, Hungary, August 13–18, 1996. Berlin: Springer. Lect. Notes Phys. 498, 1-54 (1997). Reviewer: H.Boseck (Greifswald) MSC: 17B67 81T40 81R10 81-02 17-02 PDFBibTeX XMLCite \textit{J. Fuchs}, Lect. Notes Phys. 498, 1--54 (1997; Zbl 0920.17012) Full Text: arXiv
Changzheng, Qu Multiple singular manifold method and extended direct method: Application to the Burgers equation. (English) Zbl 0884.35139 Int. J. Theor. Phys. 36, No. 6, 1329-1339 (1997). MSC: 35Q53 58J70 58J72 PDFBibTeX XMLCite \textit{Q. Changzheng}, Int. J. Theor. Phys. 36, No. 6, 1329--1339 (1997; Zbl 0884.35139) Full Text: DOI
Fuchs, Jürgen; Schellekens, Bert; Schweigert, Christoph Quasi-Galois symmetries of the modular \(S\)-matrix. (English) Zbl 0864.17039 Commun. Math. Phys. 176, No. 2, 447-465 (1996). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 17B67 81T40 11Z05 11R32 PDFBibTeX XMLCite \textit{J. Fuchs} et al., Commun. Math. Phys. 176, No. 2, 447--465 (1996; Zbl 0864.17039) Full Text: DOI arXiv
Fordy, A. P.; Shabat, A. B.; Veselov, A. P. Factorization and Poisson correspondences. (English) Zbl 0865.58029 Theor. Math. Phys. 105, No. 2, 1369-1386 (1995); published in Teor. Mat. Fiz. 105, No. 2, 225-245 (1995). MSC: 37J35 37K10 37K35 17B67 PDFBibTeX XMLCite \textit{A. P. Fordy} et al., Theor. Math. Phys. 105, No. 2, 1369--1386 (1995); published in Teor. Mat. Fiz. 105, No. 2, 225--245 (1995; Zbl 0865.58029) Full Text: DOI
Aratyn, H.; Nissimov, E.; Pacheva, S. Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model. (English) Zbl 1020.37584 Phys. Lett., A 201, No. 4, 293-305 (1995). MSC: 37K35 35Q51 35Q53 37J99 81T30 PDFBibTeX XMLCite \textit{H. Aratyn} et al., Phys. Lett., A 201, No. 4, 293--305 (1995; Zbl 1020.37584) Full Text: DOI arXiv
Ringel, Claus Michael The spectral radius of the Coxeter transformations for a generalized Cartan matrix. (English) Zbl 0819.15008 Math. Ann. 300, No. 2, 331-339 (1994). Reviewer: J.Kubarski (Łódź) MSC: 15A18 17B67 16G20 PDFBibTeX XMLCite \textit{C. M. Ringel}, Math. Ann. 300, No. 2, 331--339 (1994; Zbl 0819.15008) Full Text: DOI EuDML
Bellon, M.; Maillard, J.-M.; Viallet, C. Infinite discrete symmetry group for the Yang-Baxter equations and their higher dimensional generalizations. (English) Zbl 0820.17039 Babelon, Olivier (ed.) et al., Integrable systems: the Verdier memorial conference. Actes du colloque international de Luminy, France, July 1-5, 1991. Boston, MA: Birkhäuser. Prog. Math. 115, 277-310 (1993). Reviewer: P.Kosiński (Łódź) MSC: 17B67 82B23 81R10 PDFBibTeX XMLCite \textit{M. Bellon} et al., Prog. Math. 115, 277--310 (1993; Zbl 0820.17039)
Edelen, Dominic G. B.; Wang, Jian-hua Transformation methods for nonlinear partial differential equations. (English) Zbl 0763.35005 Singapore: World Scientific. xii, 325 p. (1992). Reviewer: A.V.Aminova (Kazan’) MSC: 35A30 58J72 35-01 58J70 PDFBibTeX XMLCite \textit{D. G. B. Edelen} and \textit{J.-h. Wang}, Transformation methods for nonlinear partial differential equations. Singapore: World Scientific (1992; Zbl 0763.35005)
Li, Wei; Hou, Boyu The Riemann-Hilbert problem approach to a representation of the Virasoro group. II. (English) Zbl 0751.17019 J. Math. Phys. 32, No. 5, 1328-1333 (1991). Reviewer: G.Czichowski (Greifswald) MSC: 17B65 22E65 17B67 81T10 17B68 PDFBibTeX XMLCite \textit{W. Li} and \textit{B. Hou}, J. Math. Phys. 32, No. 5, 1328--1333 (1991; Zbl 0751.17019) Full Text: DOI
Mendoza, A.; Restuccia, A. Infinitesimal Bäcklund transformations and Kac-Moody algebras in general relativity. (English) Zbl 0738.58042 J. Math. Phys. 32, No. 2, 480-484 (1991). Reviewer: C.Dariescu (Iaşi) MSC: 37K35 17B67 PDFBibTeX XMLCite \textit{A. Mendoza} and \textit{A. Restuccia}, J. Math. Phys. 32, No. 2, 480--484 (1991; Zbl 0738.58042) Full Text: DOI
Delius, Gustav W. The \(N=2\) super-Kac-Moody algebra and the WZW-model in (2,0) superspace. (English) Zbl 0736.17032 Int. J. Mod. Phys. A 5, No. 24, 4753-4767 (1990). MSC: 17B81 17B67 22E67 PDFBibTeX XMLCite \textit{G. W. Delius}, Int. J. Mod. Phys. A 5, No. 24, 4753--4767 (1990; Zbl 0736.17032) Full Text: DOI
Dhooghe, P. E. The KP and more dimensional KdV equations on \(A_ 2^{(1)}\) and \(A_ 3^{(1)}\). (English) Zbl 0661.35073 J. Phys. A 21, No. 2, 379-390 (1988). Reviewer: G.F.Post MSC: 35Q99 17B67 PDFBibTeX XMLCite \textit{P. E. Dhooghe}, J. Phys. A, Math. Gen. 21, No. 2, 379--390 (1988; Zbl 0661.35073) Full Text: DOI
Winternitz, Pavel Kac-Moody-Virasoro symmetries of integrable nonlinear partial differential equations. (English) Zbl 0768.35067 Symmetries and nonlinear phenomena, Proc. Int. Sch. Appl. Math., Paipa/Colomb. 1988, CIF Ser. 9, 358-375 (1988). MSC: 35Q51 17B68 35A30 17B67 35G20 58J70 PDFBibTeX XMLCite \textit{P. Winternitz}, in: Symmetries and nonlinear phenomena. Proceedings of the international school on applied mathematics, Paipa, Colombia, Feb. 22-26, 1988. Singapore: World Scientific. 358--375 (1988; Zbl 0768.35067)
Kac, V. G.; Peterson, D. H. Lectures on the infinite wedge-representation and the MKP hierarchy. (English) Zbl 0638.35070 Systèmes dynamiques non linéaires: intégrabilité et comportement qualitatif, Sémin. Math. Supér., Sémin. Sci. OTAN (NATO Adv. Study Inst.) 102, 141-183 (1986). Reviewer: G.F.Post MSC: 35Q99 17B67 22E65 14M15 35A30 PDFBibTeX XML
D’Ariano, G. M.; Rasetti, M. G. Soliton equations, \(\tau\)-functions and coherent states. (English) Zbl 0645.35080 Integrable systems in statistical mechanics, Ser. Adv. Stat. Mech. 1, 143-152 (1985). MSC: 35Q99 17B67 53D50 81Q99 PDFBibTeX XML
Newell, Alan C. Solitons in mathematics and physics. (English) Zbl 0565.35003 CBMS-NSF Regional Conference Series in Applied Mathematics 48. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 0-89871-196-7). xvi, 246 p. (1985). Reviewer: Gui-Zhang Tu MSC: 35-02 35Q51 35Q53 35Q55 35A30 37K40 37K15 37K20 37K30 37K35 37K10 17B67 17B80 70H05 34L99 35P25 76B15 PDFBibTeX XMLCite \textit{A. C. Newell}, Solitons in mathematics and physics. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (1985; Zbl 0565.35003)
Hoenselaers, C. The sine-Gordon prolongation algebra. (English) Zbl 0979.37510 Prog. Theor. Phys. 74, No. 4, 645-654 (1985). MSC: 37K30 17B67 37K35 35Q53 PDFBibTeX XMLCite \textit{C. Hoenselaers}, Prog. Theor. Phys. 74, No. 4, 645--654 (1985; Zbl 0979.37510) Full Text: DOI
Richardson, David L. A third-order intermediate orbit for planetary theory. (English) Zbl 0511.70013 Celestial Mech. 26, 187-195 (1982). MSC: 70F15 70M20 70H05 70H15 33E05 PDFBibTeX XMLCite \textit{D. L. Richardson}, Celest. Mech. 26, 187--195 (1982; Zbl 0511.70013) Full Text: DOI
Leach, P. G. L. Applications of the Lie theory of extended groups in Hamiltonian mechanics: the oscillator and the Kepler problem. (English) Zbl 0479.70020 J. Aust. Math. Soc., Ser. B 23, 173-186 (1981). MSC: 70H05 70H15 37J99 70G10 PDFBibTeX XMLCite \textit{P. G. L. Leach}, J. Aust. Math. Soc., Ser. B 23, 173--186 (1981; Zbl 0479.70020) Full Text: DOI
Ovsyannikov, L. V. Group analysis of differential equations. (Gruppovoj analiz differentsial’nykh uravnenij). (Russian) Zbl 0484.58001 Moscow: “Nauka”. 399 p. R. 1.90 (1978). MSC: 58-02 58J70 58H05 57S99 35A99 22E05 22E10 22E15 PDFBibTeX XML