Eslami Rad, Anahita Lie bialgebroid of pseudo-differential operators. (English) Zbl 1502.37074 J. Nonlinear Math. Phys. 29, No. 4, 869-895 (2022). MSC: 37K30 37K10 22A22 58H05 PDFBibTeX XMLCite \textit{A. Eslami Rad}, J. Nonlinear Math. Phys. 29, No. 4, 869--895 (2022; Zbl 1502.37074) Full Text: DOI
Zhurov, Alexei I.; Polyanin, Andrei D. Symmetry reductions and new functional separable solutions of nonlinear Klein-Gordon and telegraph type equations. (English) Zbl 1436.81038 J. Nonlinear Math. Phys. 27, No. 2, 227-242 (2020). MSC: 81Q05 35L70 35J60 35D99 34K17 PDFBibTeX XMLCite \textit{A. I. Zhurov} and \textit{A. D. Polyanin}, J. Nonlinear Math. Phys. 27, No. 2, 227--242 (2020; Zbl 1436.81038) Full Text: DOI
Shirokov, Dmitry On constant solutions of \(\mathrm{SU}(2)\) Yang-Mills equations with arbitrary current in Euclidean space \(\mathbb{R}^n \). (English) Zbl 1436.70012 J. Nonlinear Math. Phys. 27, No. 2, 199-218 (2020). MSC: 70S15 81T13 PDFBibTeX XMLCite \textit{D. Shirokov}, J. Nonlinear Math. Phys. 27, No. 2, 199--218 (2020; Zbl 1436.70012) Full Text: DOI arXiv
Nilson, Tomas; Schiebold, Cornelia Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour. (English) Zbl 1436.37080 J. Nonlinear Math. Phys. 27, No. 1, 57-94 (2020). MSC: 37K10 81Q80 PDFBibTeX XMLCite \textit{T. Nilson} and \textit{C. Schiebold}, J. Nonlinear Math. Phys. 27, No. 1, 57--94 (2020; Zbl 1436.37080) Full Text: DOI
Perelomov, Askold M. Remarks on the mass spectrum of two-dimensional Toda lattice of \(E_8\) type. (English) Zbl 1436.81053 J. Nonlinear Math. Phys. 27, No. 1, 12-16 (2020). MSC: 81Q80 37K10 82B20 PDFBibTeX XMLCite \textit{A. M. Perelomov}, J. Nonlinear Math. Phys. 27, No. 1, 12--16 (2020; Zbl 1436.81053) Full Text: DOI arXiv
Konstein, S. E.; Tyutin, I. V. Connection between the ideals generated by traces and by supertraces in the superalgebras of observables of Calogero models. (English) Zbl 1436.17040 J. Nonlinear Math. Phys. 27, No. 1, 7-11 (2020). MSC: 17B80 20F55 81R12 PDFBibTeX XMLCite \textit{S. E. Konstein} and \textit{I. V. Tyutin}, J. Nonlinear Math. Phys. 27, No. 1, 7--11 (2020; Zbl 1436.17040) Full Text: DOI arXiv
Popowicz, Ziemowit \(N = 2\) supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt equations. (English) Zbl 1448.81343 J. Nonlinear Math. Phys. 26, No. 2, 294-312 (2019). MSC: 81Q60 81V73 81V74 35Q53 37K10 81R05 PDFBibTeX XMLCite \textit{Z. Popowicz}, J. Nonlinear Math. Phys. 26, No. 2, 294--312 (2019; Zbl 1448.81343) Full Text: DOI arXiv
Leyvraz, François; Calogero, Francesco A Hamiltonian yielding damped motion in an homogeneous magnetic field: quantum treatment. (English) Zbl 1448.81385 J. Nonlinear Math. Phys. 26, No. 2, 228-239 (2019). MSC: 81S08 70H05 78A35 81V70 PDFBibTeX XMLCite \textit{F. Leyvraz} and \textit{F. Calogero}, J. Nonlinear Math. Phys. 26, No. 2, 228--239 (2019; Zbl 1448.81385) Full Text: DOI
Calogero, Francesco; Leyvraz, François Time-independent Hamiltonians describing systems with friction: the “cyclotron with friction”. (English) Zbl 1417.81124 J. Nonlinear Math. Phys. 26, No. 1, 147-154 (2019). MSC: 81Q05 37J35 70H03 81S10 70H06 PDFBibTeX XMLCite \textit{F. Calogero} and \textit{F. Leyvraz}, J. Nonlinear Math. Phys. 26, No. 1, 147--154 (2019; Zbl 1417.81124) Full Text: DOI
Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. (English) Zbl 1417.81136 J. Nonlinear Math. Phys. 25, No. 4, 618-632 (2018). MSC: 17B10 17B20 17B80 81R12 PDFBibTeX XMLCite \textit{J. Ferńandez Núñez} et al., J. Nonlinear Math. Phys. 25, No. 4, 618--632 (2018; Zbl 1417.81136) Full Text: DOI
Michelangeli, Alessandro; Olgiati, Alessandro Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. (English) Zbl 1420.35080 J. Nonlinear Math. Phys. 24, No. 3, 426-464 (2017). MSC: 35J10 35Q40 35Q55 35Q70 81-05 81U05 81V70 82C10 PDFBibTeX XMLCite \textit{A. Michelangeli} and \textit{A. Olgiati}, J. Nonlinear Math. Phys. 24, No. 3, 426--464 (2017; Zbl 1420.35080) Full Text: DOI arXiv
Gubbiotti, G.; Nucci, M. C. Quantization of the dynamics of a particle on a double cone by preserving Noether symmetries. (English) Zbl 1421.81069 J. Nonlinear Math. Phys. 24, No. 3, 356-367 (2017). MSC: 81S05 70H06 81Q05 PDFBibTeX XMLCite \textit{G. Gubbiotti} and \textit{M. C. Nucci}, J. Nonlinear Math. Phys. 24, No. 3, 356--367 (2017; Zbl 1421.81069) Full Text: DOI arXiv
Chang, Chueh-Hsin; Sheu, Tony Wen-Hann On a spectral analysis of scattering data for the Camassa-Holm equation. (English) Zbl 1420.35226 J. Nonlinear Math. Phys. 22, No. 1, 102-116 (2015). MSC: 35Q35 35Q40 37K15 37K10 PDFBibTeX XMLCite \textit{C.-H. Chang} and \textit{T. W. H. Sheu}, J. Nonlinear Math. Phys. 22, No. 1, 102--116 (2015; Zbl 1420.35226) Full Text: DOI
Schreiber, V.; Veselov, A. P. On deformation and classification of \(\vee\)-systems. (English) Zbl 1420.37087 J. Nonlinear Math. Phys. 21, No. 4, 543-583 (2014). MSC: 37K10 53D45 PDFBibTeX XMLCite \textit{V. Schreiber} and \textit{A. P. Veselov}, J. Nonlinear Math. Phys. 21, No. 4, 543--583 (2014; Zbl 1420.37087) Full Text: DOI arXiv Link
Kiselev, Arthemy V.; Krutov, Andrey O. Non-abelian Lie algebroids over jet spaces. (English) Zbl 1420.37069 J. Nonlinear Math. Phys. 21, No. 2, 188-213 (2014). MSC: 37K10 81T70 53D17 58A20 70S15 81T13 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{A. O. Krutov}, J. Nonlinear Math. Phys. 21, No. 2, 188--213 (2014; Zbl 1420.37069) Full Text: DOI arXiv
Kemp, Graham M.; Veselov, Alexander P. On geometric quantization of the Dirac magnetic monopole. (English) Zbl 1420.53090 J. Nonlinear Math. Phys. 21, No. 1, 34-42 (2014). MSC: 53D50 81R12 81S10 PDFBibTeX XMLCite \textit{G. M. Kemp} and \textit{A. P. Veselov}, J. Nonlinear Math. Phys. 21, No. 1, 34--42 (2014; Zbl 1420.53090) Full Text: DOI arXiv
Bouzeffour, Fethi; Zagouhani, Ali \(q\)-oscillator algebra and \(d\)-orthogonal polynomials. (English) Zbl 1421.81060 J. Nonlinear Math. Phys. 20, No. 4, 480-494 (2013). MSC: 81R30 81R60 33D52 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{A. Zagouhani}, J. Nonlinear Math. Phys. 20, No. 4, 480--494 (2013; Zbl 1421.81060) Full Text: DOI
Konstein, S. E.; Stekolshchik, R. Klein operator and the number of independent traces and supertraces on the superalgebra of observables of rational Calogero model based on the root system. (English) Zbl 1420.37070 J. Nonlinear Math. Phys. 20, No. 2, 295-308 (2013). MSC: 37K10 17B80 17B22 16W55 81R12 PDFBibTeX XMLCite \textit{S. E. Konstein} and \textit{R. Stekolshchik}, J. Nonlinear Math. Phys. 20, No. 2, 295--308 (2013; Zbl 1420.37070) Full Text: DOI arXiv
Konstein, S. E.; Tyutin, I. V. Traces on the algebra of observables of the rational calogeromodel based on the root system. (English) Zbl 1420.37071 J. Nonlinear Math. Phys. 20, No. 2, 271-294 (2013). MSC: 37K10 17B80 16W55 81R12 PDFBibTeX XMLCite \textit{S. E. Konstein} and \textit{I. V. Tyutin}, J. Nonlinear Math. Phys. 20, No. 2, 271--294 (2013; Zbl 1420.37071) Full Text: DOI arXiv
Watkins, Joe Spectral zeta functions of a 1D Schrödinger problem. (English) Zbl 1256.81040 J. Nonlinear Math. Phys. 19, No. 3, 1250026, 17 p. (2012). MSC: 81Q05 81Q12 11M36 33C20 37K10 81Q10 PDFBibTeX XMLCite \textit{J. Watkins}, J. Nonlinear Math. Phys. 19, No. 3, 1250026, 17 p. (2012; Zbl 1256.81040) Full Text: DOI arXiv
Haider, Bushra; Hassan, M. Binary Darboux transformation for the supersymmetric principal chiral field model. (English) Zbl 1302.81110 J. Nonlinear Math. Phys. 18, No. 4, 557-581 (2011). MSC: 81R12 37K35 81T60 PDFBibTeX XMLCite \textit{B. Haider} and \textit{M. Hassan}, J. Nonlinear Math. Phys. 18, No. 4, 557--581 (2011; Zbl 1302.81110) Full Text: DOI
Raju, Thokala Soloman; Panigrahi, Prasanta K. Exact solutions of the modified Gross-Pitaevskii equation in “smart” periodic potentials in the presence of external source. (English) Zbl 1228.35231 J. Nonlinear Math. Phys. 18, No. 3, 367-376 (2011). MSC: 35Q55 82B10 37K40 35Q51 35A22 PDFBibTeX XMLCite \textit{T. S. Raju} and \textit{P. K. Panigrahi}, J. Nonlinear Math. Phys. 18, No. 3, 367--376 (2011; Zbl 1228.35231) Full Text: DOI arXiv
Tsiganov, A. V. On bi-integrable natural Hamiltonian systems on Riemannian manifolds. (English) Zbl 1221.37113 J. Nonlinear Math. Phys. 18, No. 2, 245-268 (2011). MSC: 37J35 70H06 58J60 53D25 81S99 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, J. Nonlinear Math. Phys. 18, No. 2, 245--268 (2011; Zbl 1221.37113) Full Text: DOI arXiv
Korenblit, S. E.; Semenov, V. V. Massless Thirring model in canonical quantization scheme. (English) Zbl 1213.81208 J. Nonlinear Math. Phys. 18, No. 1, 65-74 (2011). MSC: 81T70 81T16 81U15 46L57 PDFBibTeX XMLCite \textit{S. E. Korenblit} and \textit{V. V. Semenov}, J. Nonlinear Math. Phys. 18, No. 1, 65--74 (2011; Zbl 1213.81208) Full Text: DOI arXiv
Oshima, Kazuyuki Symmetry of \(\mathrm{osp}(m|n)\) spin Calogero-Sutherland models. (English) Zbl 1378.81047 J. Nonlinear Math. Phys. 17, No. 3, 349-356 (2010). MSC: 81R12 37J35 70H06 PDFBibTeX XMLCite \textit{K. Oshima}, J. Nonlinear Math. Phys. 17, No. 3, 349--356 (2010; Zbl 1378.81047) Full Text: DOI arXiv
Roger, Claude; Unterberger, Jérémie A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in \((1+1)\)-dimensions. (English) Zbl 1246.17032 J. Nonlinear Math. Phys. 17, No. 3, 257-279 (2010). Reviewer: Yucai Su (Shanghai) MSC: 17B68 37K30 37K65 81R12 PDFBibTeX XMLCite \textit{C. Roger} and \textit{J. Unterberger}, J. Nonlinear Math. Phys. 17, No. 3, 257--279 (2010; Zbl 1246.17032) Full Text: DOI arXiv
Papachristou, C. J.; Harrison, B. Kent Bäcklund-transformation-related recursion operators: application to the self-dual Yang-Mills equation. (English) Zbl 1190.35190 J. Nonlinear Math. Phys. 17, No. 1, 35-49 (2010). MSC: 35Q40 37K05 35K35 37K30 PDFBibTeX XMLCite \textit{C. J. Papachristou} and \textit{B. K. Harrison}, J. Nonlinear Math. Phys. 17, No. 1, 35--49 (2010; Zbl 1190.35190) Full Text: DOI arXiv
Hussain, Ibrar; Mahomed, F. M.; Qadir, Asghar Approximate partial Noether operators of the Schwarzschild spacetime. (English) Zbl 1192.83032 J. Nonlinear Math. Phys. 17, No. 1, 13-25 (2010). MSC: 83C57 34A05 37N20 47A55 83C40 PDFBibTeX XMLCite \textit{I. Hussain} et al., J. Nonlinear Math. Phys. 17, No. 1, 13--25 (2010; Zbl 1192.83032) Full Text: DOI
Witthaut, D.; Rapedius, K.; Korsch, H. J. The nonlinear Schrödinger equation for the delta-comb potential: quasi-classical chaos and bifurcations of periodic stationary solutions. (English) Zbl 1177.35229 J. Nonlinear Math. Phys. 16, No. 2, 207-233 (2009). MSC: 35Q55 37K10 81V80 37K50 37K45 35B10 PDFBibTeX XMLCite \textit{D. Witthaut} et al., J. Nonlinear Math. Phys. 16, No. 2, 207--233 (2009; Zbl 1177.35229) Full Text: DOI arXiv
Sasaki, Ryu New quasi-exactly solvable difference equation. (English) Zbl 1362.81040 J. Nonlinear Math. Phys. 15, Suppl. 3, 373-384 (2008). MSC: 81Q80 81Q35 39A12 PDFBibTeX XMLCite \textit{R. Sasaki}, J. Nonlinear Math. Phys. 15, 373--384 (2008; Zbl 1362.81040) Full Text: DOI arXiv
Ben Mabrouk, Anouar An adapted group-dilation anisotropic multifractal formalism for functions. (English) Zbl 1167.37046 J. Nonlinear Math. Phys. 15, No. 1, 117-139 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37N20 94A12 PDFBibTeX XMLCite \textit{A. Ben Mabrouk}, J. Nonlinear Math. Phys. 15, No. 1, 117--139 (2008; Zbl 1167.37046) Full Text: DOI
Klimčík, Ctirad \(q\to\infty\) limit of the quasitriangular WZW model. (English) Zbl 1159.81380 J. Nonlinear Math. Phys. 14, No. 1-4, 494-526 (2007). MSC: 81R50 17B37 81T40 81R12 81R10 PDFBibTeX XMLCite \textit{C. Klimčík}, J. Nonlinear Math. Phys. 14, No. 1--4, 494--526 (2007; Zbl 1159.81380) Full Text: DOI arXiv
Zhang, Meng-Xia; Liu, Q. P. A supersymmetric second modified KdV equation. (English) Zbl 1165.35456 J. Nonlinear Math. Phys. 14, No. 1-4, 230-237 (2007). MSC: 35Q53 37K10 81Q60 35A30 35K35 PDFBibTeX XMLCite \textit{M.-X. Zhang} and \textit{Q. P. Liu}, J. Nonlinear Math. Phys. 14, No. 1--4, 230--237 (2007; Zbl 1165.35456) Full Text: DOI
Burdík, Č.; Pošta, S.; Navrátil, O. On the matrix \(3\times 3\) exact solvable models of the type \(G_2\). (English) Zbl 1153.37399 J. Nonlinear Math. Phys. 13, Suppl. 1, 27-36 (2006). MSC: 37J35 81R12 PDFBibTeX XMLCite \textit{Č. Burdík} et al., J. Nonlinear Math. Phys. 13, 27--36 (2006; Zbl 1153.37399) Full Text: DOI
Bazunova, Nadezda Non-coordinate case of graded differential algebra with ternary differential. (English) Zbl 1151.58302 J. Nonlinear Math. Phys. 13, Suppl. 1, 21-26 (2006). MSC: 58A15 58B32 58B34 81R50 16E45 PDFBibTeX XMLCite \textit{N. Bazunova}, J. Nonlinear Math. Phys. 13, 21--26 (2006; Zbl 1151.58302) Full Text: DOI arXiv
Abramov, Viktor On a graded \(q\)-differential algebra. (English) Zbl 1151.58301 J. Nonlinear Math. Phys. 13, Suppl. 1, 1-8 (2006). MSC: 58A15 16E45 58B32 58B34 81R50 81R60 PDFBibTeX XMLCite \textit{V. Abramov}, J. Nonlinear Math. Phys. 13, 1--8 (2006; Zbl 1151.58301) Full Text: DOI arXiv
Fring, Andreas; Manojlović, Nenad \(G_2\)-Calogero-Moser Lax operators from reduction. (English) Zbl 1111.81134 J. Nonlinear Math. Phys. 13, No. 1-4, 467-478 (2006). MSC: 81T40 81V70 81R12 PDFBibTeX XMLCite \textit{A. Fring} and \textit{N. Manojlović}, J. Nonlinear Math. Phys. 13, No. 1--4, 467--478 (2006; Zbl 1111.81134) Full Text: DOI arXiv
Huang, Nian-Ning; Cai, Hao; Yan, Tian; Xu, Fan-Rong Hamiltonian formalism of the Landau-Lifschitz equation for a spin chain with full anisotropy. (English) Zbl 1110.35318 J. Nonlinear Math. Phys. 13, No. 1-4, 302-314 (2006). MSC: 35Q40 37K10 81Q05 PDFBibTeX XMLCite \textit{N.-N. Huang} et al., J. Nonlinear Math. Phys. 13, No. 1--4, 302--314 (2006; Zbl 1110.35318) Full Text: DOI arXiv
Hartmann, Betti; Zakrzewski, Wojtek J. The transition of 2-dimensional solitons to 1-dimensional ones on hexagonal lattices. (English) Zbl 1110.35320 J. Nonlinear Math. Phys. 13, No. 1-4, 111-115 (2006). MSC: 35Q51 37K60 81R12 PDFBibTeX XMLCite \textit{B. Hartmann} and \textit{W. J. Zakrzewski}, J. Nonlinear Math. Phys. 13, No. 1--4, 111--115 (2006; Zbl 1110.35320) Full Text: DOI arXiv
Turbiner, Alexander V. Quasi-exactly solvable Hamiltonians related to root spaces. (English) Zbl 1362.82018 J. Nonlinear Math. Phys. 12, Suppl. 1, 660-675 (2005). MSC: 82B23 81Q80 PDFBibTeX XMLCite \textit{A. V. Turbiner}, J. Nonlinear Math. Phys. 12, 660--675 (2005; Zbl 1362.82018) Full Text: DOI
Odake, Satoru; Sasaki, Ryu Shape invariant potentials in “discrete quantum mechanics”. (English) Zbl 1362.81037 J. Nonlinear Math. Phys. 12, Suppl. 1, 507-521 (2005). MSC: 81Q35 39A12 81Q80 PDFBibTeX XMLCite \textit{S. Odake} and \textit{R. Sasaki}, J. Nonlinear Math. Phys. 12, 507--521 (2005; Zbl 1362.81037) Full Text: DOI arXiv
Langmann, Edwin Gauge theory approach towards an explicit solution of the (classical) elliptic Calogero-Moser system. (English) Zbl 1362.82015 J. Nonlinear Math. Phys. 12, Suppl. 1, 423-439 (2005). MSC: 82B23 81T13 82B20 PDFBibTeX XMLCite \textit{E. Langmann}, J. Nonlinear Math. Phys. 12, 423--439 (2005; Zbl 1362.82015) Full Text: DOI
Fernández-Núñez, J.; Garcia-Fuertes, W.; Perelomov, A. M. Irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_6\): an approach through the quantum Calogero-Sutherland model. (English) Zbl 1362.81044 J. Nonlinear Math. Phys. 12, Suppl. 1, 280-301 (2005). MSC: 81R12 17B25 37J35 PDFBibTeX XMLCite \textit{J. Fernández-Núñez} et al., J. Nonlinear Math. Phys. 12, 280--301 (2005; Zbl 1362.81044) Full Text: DOI arXiv
Enciso, A.; Finkel, F.; González-López, A.; Rodríguez, M. A. A Haldane-shastry spin chain of \(BC_N\) type in a constant magnetic field. (English) Zbl 1362.82007 J. Nonlinear Math. Phys. 12, Suppl. 1, 253-265 (2005). MSC: 82B20 82B10 PDFBibTeX XMLCite \textit{A. Enciso} et al., J. Nonlinear Math. Phys. 12, 253--265 (2005; Zbl 1362.82007) Full Text: DOI arXiv
Andriopoulos, K.; Leach, P. G. L. Some group theoretical aspects of nonlinear quantal oscillators. (English) Zbl 1362.81042 J. Nonlinear Math. Phys. 12, Suppl. 1, 32-42 (2005). MSC: 81R15 81R50 81Q80 PDFBibTeX XMLCite \textit{K. Andriopoulos} and \textit{P. G. L. Leach}, J. Nonlinear Math. Phys. 12, 32--42 (2005; Zbl 1362.81042) Full Text: DOI
Gerdjikov, Vladimir S.; Grahovski, Georgi G. On reductions and real Hamiltonian forms of affine Toda field theories. (English) Zbl 1105.37041 J. Nonlinear Math. Phys. 12, Suppl. 2, 153-168 (2005). Reviewer: Xianguo Geng (Zhengzhou) MSC: 37K30 37K60 81R12 37K05 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} and \textit{G. G. Grahovski}, J. Nonlinear Math. Phys. 12, 153--168 (2005; Zbl 1105.37041) Full Text: DOI arXiv
Feigin, Misha Bispectrality for deformed Calogero-Moser-Sutherland systems. (English) Zbl 1126.37312 J. Nonlinear Math. Phys. 12, Suppl. 2, 95-136 (2005). MSC: 37J35 81R12 PDFBibTeX XMLCite \textit{M. Feigin}, J. Nonlinear Math. Phys. 12, 95--136 (2005; Zbl 1126.37312) Full Text: DOI arXiv
Kuniba, Atsuo; Okado, Masato; Yamada, Yasuhiko Box-ball system with reflecting end. (English) Zbl 1090.37008 J. Nonlinear Math. Phys. 12, No. 4, 475-507 (2005). MSC: 37B15 37K60 35Q40 37K15 81R12 82C23 17B37 35Q51 PDFBibTeX XMLCite \textit{A. Kuniba} et al., J. Nonlinear Math. Phys. 12, No. 4, 475--507 (2005; Zbl 1090.37008) Full Text: DOI arXiv
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano; Sanz-Gil, Teresa Separable potentials and a triality in two-dimensional spaces of constant curvature. (English) Zbl 1080.35100 J. Nonlinear Math. Phys. 12, No. 2, 230-252 (2005). MSC: 35Q40 37J05 70H20 PDFBibTeX XMLCite \textit{J. F. Cariñena} et al., J. Nonlinear Math. Phys. 12, No. 2, 230--252 (2005; Zbl 1080.35100) Full Text: DOI
Sokalski, K.; Wietecha, T.; Sokalska, D. Existence of dual equations by means of strong necessary conditions – analysis of integrability of partial differential nonlinear equations. (English) Zbl 1067.35092 J. Nonlinear Math. Phys. 12, No. 1, 31-52 (2005). MSC: 35Q53 37K35 81R12 PDFBibTeX XMLCite \textit{K. Sokalski} et al., J. Nonlinear Math. Phys. 12, No. 1, 31--52 (2005; Zbl 1067.35092) Full Text: DOI
Nguyêñ, Hiêú D. Soliton collisions and ghost particle radiation. (English) Zbl 1067.35090 J. Nonlinear Math. Phys. 11, No. 2, 180-198 (2004). MSC: 35Q53 81R12 37K40 PDFBibTeX XMLCite \textit{H. D. Nguyêñ}, J. Nonlinear Math. Phys. 11, No. 2, 180--198 (2004; Zbl 1067.35090) Full Text: DOI
Lechtenfeld, O.; Sorin, A. S. A note on fermionic flows of the \(N=(1|1)\) supersymmetric Toda lattice hierarchy. (English) Zbl 1062.37074 J. Nonlinear Math. Phys. 11, No. 3, 294-296 (2004). MSC: 37K10 37K60 37N20 81R12 PDFBibTeX XMLCite \textit{O. Lechtenfeld} and \textit{A. S. Sorin}, J. Nonlinear Math. Phys. 11, No. 3, 294--296 (2004; Zbl 1062.37074) Full Text: DOI arXiv
Kuvshinov, V. I.; Kuzmin, A. V.; Piatrou, V. A. The influence of quantum field fluctuations on chaotic dynamics of Yang-Mills system. II: The role of the centrifugal term. (English) Zbl 1061.35093 J. Nonlinear Math. Phys. 11, No. 3, 289-293 (2004). MSC: 35Q40 81T13 37D45 PDFBibTeX XMLCite \textit{V. I. Kuvshinov} et al., J. Nonlinear Math. Phys. 11, No. 3, 289--293 (2004; Zbl 1061.35093) Full Text: DOI arXiv
Takemura, Kouichi The Heun equation and the Calogero-Moser-Sutherland system. III: The finite-gap property and the monodromy. (English) Zbl 1087.81028 J. Nonlinear Math. Phys. 11, No. 1, 21-46 (2004). Reviewer: Yoshishige Haraoka (Kumamoto) MSC: 81R12 34M35 33E15 81Q05 PDFBibTeX XMLCite \textit{K. Takemura}, J. Nonlinear Math. Phys. 11, No. 1, 21--46 (2004; Zbl 1087.81028) Full Text: DOI arXiv
Perelomov, A. M. On frequencies of small oscillations of some dynamical systems associated with root systems. (English) Zbl 1038.37053 J. Nonlinear Math. Phys. 10, No. 1, 103-109 (2003). MSC: 37J99 37N20 81R12 70H05 PDFBibTeX XMLCite \textit{A. M. Perelomov}, J. Nonlinear Math. Phys. 10, No. 1, 103--109 (2003; Zbl 1038.37053) Full Text: DOI arXiv Link
Solomin, Jorge E.; Zuccalli, Marcela Noncentral extensions as anomalies in classical dynamical systems. (English) Zbl 1020.35078 J. Nonlinear Math. Phys. 10, No. 1, 1-9 (2003). Reviewer: Igor Andrianov (Köln) MSC: 35Q40 37K30 81R10 PDFBibTeX XMLCite \textit{J. E. Solomin} and \textit{M. Zuccalli}, J. Nonlinear Math. Phys. 10, No. 1, 1--9 (2003; Zbl 1020.35078) Full Text: DOI arXiv
Bracken, P.; Grundland, A. M. Solutions of the generalized Weierstrass representation in four-dimensional Euclidean space. (English) Zbl 1061.35087 J. Nonlinear Math. Phys. 9, No. 3, 357-381 (2002). MSC: 35Q40 37K40 53A10 PDFBibTeX XMLCite \textit{P. Bracken} and \textit{A. M. Grundland}, J. Nonlinear Math. Phys. 9, No. 3, 357--381 (2002; Zbl 1061.35087) Full Text: DOI arXiv
Ruijsenaars, S. N. M. Reflectionless analytic difference operators. III: Hilbert space aspects. (English) Zbl 1085.39017 J. Nonlinear Math. Phys. 9, No. 2, 181-209 (2002). MSC: 39A70 47B39 47N50 81R12 81U15 PDFBibTeX XMLCite \textit{S. N. M. Ruijsenaars}, J. Nonlinear Math. Phys. 9, No. 2, 181--209 (2002; Zbl 1085.39017) Full Text: DOI arXiv
Toppan, Francesco On anomalies in classical dynamical systems. (English) Zbl 1004.37044 J. Nonlinear Math. Phys. 8, No. 4, 518-533 (2001). Reviewer: Samir Musayev (Baku) MSC: 37J99 81T50 70S10 70S05 PDFBibTeX XMLCite \textit{F. Toppan}, J. Nonlinear Math. Phys. 8, No. 4, 518--533 (2001; Zbl 1004.37044) Full Text: DOI arXiv
Sasaki, R. Universal Lax pair for generalised Calogero-Moser models. (English) Zbl 0980.37025 J. Nonlinear Math. Phys. 8, Suppl., 254-260 (2001). MSC: 37K10 81V70 PDFBibTeX XMLCite \textit{R. Sasaki}, J. Nonlinear Math. Phys. 8, 254--260 (2001; Zbl 0980.37025) Full Text: DOI
Maciejewski, Andrzej J.; Szydłowski, Marek Integrability and non-integrability of planar Hamiltonian systems of cosmological origin. (English) Zbl 0979.83044 J. Nonlinear Math. Phys. 8, Suppl., 200-206 (2001). MSC: 83F05 37N20 37J30 PDFBibTeX XMLCite \textit{A. J. Maciejewski} and \textit{M. Szydłowski}, J. Nonlinear Math. Phys. 8, 200--206 (2001; Zbl 0979.83044) Full Text: DOI
Kundu, Anjan Construction of variable mass sine-Gordon and other novel inhomogeneous quantum integrable models. (English) Zbl 0983.37089 J. Nonlinear Math. Phys. 8, Suppl., 178-182 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 37K15 81R12 35Q53 PDFBibTeX XMLCite \textit{A. Kundu}, J. Nonlinear Math. Phys. 8, 178--182 (2001; Zbl 0983.37089) Full Text: DOI arXiv
Hu, Xingbiao; Tam, Hon-Wah Some recent results on integrable bilinear equations. (English) Zbl 0981.37032 J. Nonlinear Math. Phys. 8, Suppl., 149-155 (2001). MSC: 37K60 39A12 81R12 PDFBibTeX XMLCite \textit{X. Hu} and \textit{H.-W. Tam}, J. Nonlinear Math. Phys. 8, 149--155 (2001; Zbl 0981.37032) Full Text: DOI
D’Hoker, Eric; Phong, D. H. Calogero-Moser systems and super Yang-Mills with adjoint matter. (English) Zbl 1113.37311 J. Nonlinear Math. Phys. 8, Suppl., 69-78 (2001). MSC: 37K20 81R12 81T60 81T13 17B80 17B81 PDFBibTeX XMLCite \textit{E. D'Hoker} and \textit{D. H. Phong}, J. Nonlinear Math. Phys. 8, 69--78 (2001; Zbl 1113.37311) Full Text: DOI
Chalub, Fabio A. C. C.; Zubelli, Jorge P. On Huygens’ principle for Dirac operators and nonlinear evolution equations. (English) Zbl 0977.35112 J. Nonlinear Math. Phys. 8, Suppl., 62-68 (2001). MSC: 35Q40 35Q53 37K40 81Q05 PDFBibTeX XMLCite \textit{F. A. C. C. Chalub} and \textit{J. P. Zubelli}, J. Nonlinear Math. Phys. 8, 62--68 (2001; Zbl 0977.35112) Full Text: DOI
Caseiro, R.; Françoise, J. P. Algebraic linearization of hyperbolic Ruijsenaars-Schneider systems. (English) Zbl 1012.37039 J. Nonlinear Math. Phys. 8, Suppl., 58-61 (2001). MSC: 37J35 81V70 81R12 34A99 PDFBibTeX XMLCite \textit{R. Caseiro} and \textit{J. P. Françoise}, J. Nonlinear Math. Phys. 8, 58--61 (2001; Zbl 1012.37039) Full Text: DOI
Carstea, A. S. Bilinear approach to supersymmetric KdV equation. (English) Zbl 0977.35116 J. Nonlinear Math. Phys. 8, Suppl., 48-52 (2001). MSC: 35Q53 81Q60 37K40 PDFBibTeX XMLCite \textit{A. S. Carstea}, J. Nonlinear Math. Phys. 8, 48--52 (2001; Zbl 0977.35116) Full Text: DOI
Ballesteros, Angel; Herranz, Francisco J. Two-photon algebra and integrable Hamiltonian systems. (English) Zbl 0989.81042 J. Nonlinear Math. Phys. 8, Suppl., 18-22 (2001). MSC: 81R12 81V80 37K15 PDFBibTeX XMLCite \textit{A. Ballesteros} and \textit{F. J. Herranz}, J. Nonlinear Math. Phys. 8, 18--22 (2001; Zbl 0989.81042) Full Text: DOI
Khodarinova, L. A.; Prikhodsky, I. A. On algebraic integrability of the deformed elliptic Calogero-Moser problem. (English) Zbl 0973.35159 J. Nonlinear Math. Phys. 8, No. 1, 50-53 (2001). MSC: 35Q40 37K20 81Q05 PDFBibTeX XMLCite \textit{L. A. Khodarinova} and \textit{I. A. Prikhodsky}, J. Nonlinear Math. Phys. 8, No. 1, 50--53 (2001; Zbl 0973.35159) Full Text: DOI arXiv
Dhillon, H. S.; Kusmartsev, F. V.; Kürten, K. E. Fractal and chaotic solutions of the discrete nonlinear Schrödinger equation in classical and quantum systems. (English) Zbl 0973.35174 J. Nonlinear Math. Phys. 8, No. 1, 38-49 (2001). MSC: 35Q55 37K60 PDFBibTeX XMLCite \textit{H. S. Dhillon} et al., J. Nonlinear Math. Phys. 8, No. 1, 38--49 (2001; Zbl 0973.35174) Full Text: DOI arXiv
Fehér, L.; Gábor, A. A note on the appearance of self-dual Yang-Mills fields in integrable hierarchies. (English) Zbl 0970.35131 J. Nonlinear Math. Phys. 7, No. 4, 423-432 (2000). MSC: 35Q53 37K10 81T13 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{A. Gábor}, J. Nonlinear Math. Phys. 7, No. 4, 423--432 (2000; Zbl 0970.35131) Full Text: DOI arXiv Link
Korepanov, I. G. Particles and strings in a \((2+1)\)-D integrable quantum model. (English) Zbl 0957.81063 J. Nonlinear Math. Phys. 7, No. 1, 94-119 (2000). Reviewer: Eugene Ershov (St.Peterburg) MSC: 81T40 81R12 17B37 37N20 81R50 82B23 PDFBibTeX XMLCite \textit{I. G. Korepanov}, J. Nonlinear Math. Phys. 7, No. 1, 94--119 (2000; Zbl 0957.81063) Full Text: DOI arXiv
Kupershmidt, Boris A. What a classical \(r\)-matrix really is. (English) Zbl 1015.17015 J. Nonlinear Math. Phys. 6, No. 4, 448-488 (1999). MSC: 17B37 53D17 37J35 37-02 17B63 PDFBibTeX XMLCite \textit{B. A. Kupershmidt}, J. Nonlinear Math. Phys. 6, No. 4, 448--488 (1999; Zbl 1015.17015) Full Text: DOI arXiv
Guha, Partha; Olshanetsky, Mikhail Quest for universal integrable models. (English) Zbl 0962.81021 J. Nonlinear Math. Phys. 6, No. 3, 273-293 (1999). MSC: 81R12 37K10 81T40 PDFBibTeX XMLCite \textit{P. Guha} and \textit{M. Olshanetsky}, J. Nonlinear Math. Phys. 6, No. 3, 273--293 (1999; Zbl 0962.81021) Full Text: DOI arXiv
Shapovalov, A. V.; Trifonov, A. Yu. Semiclassical solutions of the nonlinear Schrödinger equation. (English) Zbl 0947.35152 J. Nonlinear Math. Phys. 6, No. 2, 127-138 (1999). MSC: 35Q55 37K40 81Q05 PDFBibTeX XMLCite \textit{A. V. Shapovalov} and \textit{A. Yu. Trifonov}, J. Nonlinear Math. Phys. 6, No. 2, 127--138 (1999; Zbl 0947.35152) Full Text: DOI arXiv
Martini, R.; Gragert, P. K. H. Solutions of WDVV equations in Seiberg-Witten theory from root systems. (English) Zbl 0980.37018 J. Nonlinear Math. Phys. 6, No. 1, 1-4 (1999). MSC: 37K10 37K20 53D45 81T60 PDFBibTeX XMLCite \textit{R. Martini} and \textit{P. K. H. Gragert}, J. Nonlinear Math. Phys. 6, No. 1, 1--4 (1999; Zbl 0980.37018) Full Text: DOI arXiv Link
Kojima, Takeo Dynamical correlation functions for an impenetrable Bose gas with Neumann or Dirichlet boundary conditions. (English) Zbl 0976.82029 J. Nonlinear Math. Phys. 6, No. 1, 99-119 (1999). MSC: 82C10 35Q55 82C20 PDFBibTeX XMLCite \textit{T. Kojima}, J. Nonlinear Math. Phys. 6, No. 1, 99--119 (1999; Zbl 0976.82029) Full Text: DOI arXiv
Zachary, W. W.; Shtelen, V. M. On asymptotic nonlocal symmetry of nonlinear Schrödinger equations. (English) Zbl 0946.35101 J. Nonlinear Math. Phys. 5, No. 4, 417-437 (1998). MSC: 35Q55 37K30 35A30 81Q05 PDFBibTeX XMLCite \textit{W. W. Zachary} and \textit{V. M. Shtelen}, J. Nonlinear Math. Phys. 5, No. 4, 417--437 (1998; Zbl 0946.35101) Full Text: DOI arXiv
Kupershmidt, Boris A. Hamiltonian formalism in quantum mechanics. (English) Zbl 1031.81536 J. Nonlinear Math. Phys. 5, No. 2, 162-180 (1998). MSC: 81S05 70H05 37N20 PDFBibTeX XMLCite \textit{B. A. Kupershmidt}, J. Nonlinear Math. Phys. 5, No. 2, 162--180 (1998; Zbl 1031.81536) Full Text: DOI arXiv
Fushchych, Wilhelm; Symenoh, Zoya; Tsyfra, Ivan Symmetry of the Schrödinger equation with variable potential. (English) Zbl 0946.35076 J. Nonlinear Math. Phys. 5, No. 1, 13-22 (1998). MSC: 35Q40 37K05 35A30 PDFBibTeX XMLCite \textit{W. Fushchych} et al., J. Nonlinear Math. Phys. 5, No. 1, 13--22 (1998; Zbl 0946.35076) Full Text: DOI arXiv