Dias, João Paulo; Frid, Hermano On short wave-long wave interactions in the relativistic context. (English) Zbl 07730353 Commun. Math. Anal. Appl. 1, No. 2, 263-284 (2022). MSC: 35Q41 35L65 81Q05 PDFBibTeX XMLCite \textit{J. P. Dias} and \textit{H. Frid}, Commun. Math. Anal. Appl. 1, No. 2, 263--284 (2022; Zbl 07730353) Full Text: DOI arXiv
Oz, Furkan; Vuppala, Rohit K. S. S.; Kara, Kursat; Gaitan, Frank Solving Burgers’ equation with quantum computing. (English) Zbl 1508.81514 Quantum Inf. Process. 21, No. 1, Paper No. 30, 13 p. (2022). MSC: 81P68 76-10 35Q35 PDFBibTeX XMLCite \textit{F. Oz} et al., Quantum Inf. Process. 21, No. 1, Paper No. 30, 13 p. (2022; Zbl 1508.81514) Full Text: DOI
Ghosh, Samiran Weakly nonlinear interactions of collective oscillations in a correlated degenerate fluid. (English) Zbl 1502.76134 Waves Random Complex Media 32, No. 6, 2849-2871 (2022). MSC: 76Y05 81V55 PDFBibTeX XMLCite \textit{S. Ghosh}, Waves Random Complex Media 32, No. 6, 2849--2871 (2022; Zbl 1502.76134) Full Text: DOI
Frolov, Sergey A. \(T\overline{T}\) deformation and the light-cone gauge. (English. Russian original) Zbl 1445.81044 Proc. Steklov Inst. Math. 309, 107-126 (2020); translation from Tr. Mat. Inst. Steklova 309, 120-140 (2020). MSC: 81T30 81T13 14D15 PDFBibTeX XMLCite \textit{S. A. Frolov}, Proc. Steklov Inst. Math. 309, 107--126 (2020; Zbl 1445.81044); translation from Tr. Mat. Inst. Steklova 309, 120--140 (2020) Full Text: DOI arXiv
Leble, S. B. Integrable potentials by Darboux transformations in rings and quantum and classical problems. (English. Russian original) Zbl 07011495 Theor. Math. Phys. 197, No. 1, 1487-1500 (2018); translation from Teor. Mat. Fiz. 197, No. 1, 108-123 (2018). MSC: 47F05 81Q10 70H05 70S05 PDFBibTeX XMLCite \textit{S. B. Leble}, Theor. Math. Phys. 197, No. 1, 1487--1500 (2018; Zbl 07011495); translation from Teor. Mat. Fiz. 197, No. 1, 108--123 (2018) Full Text: DOI
Ren, Bo; Lin, Ji; Le, Jia-Yi; Wang, Sheng; Dai, Tian-Zhao Nonlocal symmetry reductions for bosonized supersymmetric Burgers equation. (English) Zbl 1375.35459 Commun. Theor. Phys. 68, No. 2, 170-176 (2017). MSC: 35Q53 37K10 81Q60 81T60 PDFBibTeX XMLCite \textit{B. Ren} et al., Commun. Theor. Phys. 68, No. 2, 170--176 (2017; Zbl 1375.35459) Full Text: DOI
Maslov, V. P. Tropical topology. (English) Zbl 1362.82024 Math. Notes 100, No. 6, 886-889 (2016). MSC: 82B30 35Q79 81Q20 35A30 35S05 PDFBibTeX XMLCite \textit{V. P. Maslov}, Math. Notes 100, No. 6, 886--889 (2016; Zbl 1362.82024) Full Text: DOI
Carles, Rémi On Fourier time-splitting methods for nonlinear Schrödinger equations in the semiclassical limit. (English) Zbl 1290.35238 SIAM J. Numer. Anal. 51, No. 6, 3232-3258 (2013). Reviewer: M. Marin (Brasov) MSC: 35Q55 65M15 81Q20 65M12 65M70 PDFBibTeX XMLCite \textit{R. Carles}, SIAM J. Numer. Anal. 51, No. 6, 3232--3258 (2013; Zbl 1290.35238) Full Text: DOI arXiv
Büyükaşık, Şirin A.; Pashaev, Oktay K. Exactly solvable madelung fluid and complex Burgers equations: a quantum Sturm-Liouville connection. (English) Zbl 1310.81079 J. Math. Chem. 50, No. 10, 2716-2745 (2012). MSC: 81Q80 76Y05 81U15 PDFBibTeX XMLCite \textit{Ş. A. Büyükaşık} and \textit{O. K. Pashaev}, J. Math. Chem. 50, No. 10, 2716--2745 (2012; Zbl 1310.81079) Full Text: DOI
Meher, Ramakanta; Mehta, M. N.; Meher, S. K. A new approach to Bäcklund transformations for longitudinal dispersion of miscible fluid flow through porous media in oil reservoir during secondary recovery process. (English) Zbl 1265.76030 Theor. Appl. Mech. (Belgrade) 38, No. 1, 1-16 (2011). MSC: 76E99 80A20 81U30 PDFBibTeX XMLCite \textit{R. Meher} et al., Theor. Appl. Mech. (Belgrade) 38, No. 1, 1--16 (2011; Zbl 1265.76030) Full Text: DOI
Jedrzejewski, Franck Random models and probabilistic physics. (Modèles aléatoires et physique probabiliste.) (French) Zbl 1180.60003 Paris: Springer (ISBN 978-2-287-99307-7/pbk; 978-2-287-99308-4/ebook). 572 p. (2009). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 60-01 82-01 60Gxx 00A79 62P35 81P20 PDFBibTeX XMLCite \textit{F. Jedrzejewski}, Modèles aléatoires et physique probabiliste. Paris: Springer (2009; Zbl 1180.60003) Full Text: DOI
Xie, Yuanxi; Zhu, Shuhua; Su, Kalin Solving the KdV–Burgers–Kuramoto equation by a combination method. (English) Zbl 1170.35520 Int. J. Mod. Phys. B 23, No. 8, 2101-2106 (2009). MSC: 35Q53 81Q05 PDFBibTeX XMLCite \textit{Y. Xie} et al., Int. J. Mod. Phys. B 23, No. 8, 2101--2106 (2009; Zbl 1170.35520) Full Text: DOI
Li, Juan; Xu, Tao; Zhang, Hai-Qiang; Gao, Yi-Tian; Tian, Bo Symbolic computation on integrable decompositions for the cylindrical Kadomtsev-Petviashvili equation from dusty plasmas and Bose-Einstein condensates. (English) Zbl 1175.76169 Phys. Scr. 77, No. 1, Article ID 015001, 9 p. (2008). MSC: 76X05 76M25 76T15 81Q05 35Q51 68W30 PDFBibTeX XMLCite \textit{J. Li} et al., Phys. Scr. 77, No. 1, Article ID 015001, 9 p. (2008; Zbl 1175.76169) Full Text: DOI
Pashaev, O. K.; Gurkan, Z. N. Abelian Chern-Simons vortices and holomorphic Burgers hierarchy. (English. Russian original) Zbl 1131.37062 Theor. Math. Phys. 152, No. 1, 1017-1029 (2007); translation from Teor. Mat. Fiz. 152, No. 1, 163-176 (2007). MSC: 37K10 81T10 81T13 35Q53 PDFBibTeX XMLCite \textit{O. K. Pashaev} and \textit{Z. N. Gurkan}, Theor. Math. Phys. 152, No. 1, 1017--1029 (2007; Zbl 1131.37062); translation from Teor. Mat. Fiz. 152, No. 1, 163--176 (2007) Full Text: DOI arXiv
Kiselev, Arthemy V.; Wolf, Thomas Supersymmetric representations and integrable fermionic extensions of the Burgers and Boussinesq equations. (English) Zbl 1100.35094 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 030, 19 p. (2006). MSC: 35Q53 37K05 37K10 81R12 81T60 PDFBibTeX XMLCite \textit{A. V. Kiselev} and \textit{T. Wolf}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 030, 19 p. (2006; Zbl 1100.35094) Full Text: DOI arXiv EuDML EMIS
Zhang, Yufeng; Yan, Qingyou Conte truncated expansion and applications. (English) Zbl 1037.81095 Int. J. Theor. Phys. 42, No. 12, 3011-3018 (2003). MSC: 81U15 35Q51 35Q53 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Q. Yan}, Int. J. Theor. Phys. 42, No. 12, 3011--3018 (2003; Zbl 1037.81095) Full Text: DOI
Pravia, Marco A.; Chen, Zhiying; Yepez, Jeffrey; Cory, David G. Towards an NMR implementation of a quantum lattice gas algorithm. (English) Zbl 0994.81022 Comput. Phys. Commun. 146, No. 3, 339-344 (2002). MSC: 81P68 76Rxx 76D33 PDFBibTeX XMLCite \textit{M. A. Pravia} et al., Comput. Phys. Commun. 146, No. 3, 339--344 (2002; Zbl 0994.81022) Full Text: DOI
Yepez, Jeffrey Quantum lattice-gas model for the Burgers equation. (English) Zbl 1024.81007 J. Stat. Phys. 107, No. 1-2, 203-224 (2002). MSC: 81P68 35Q53 82C80 76M28 PDFBibTeX XMLCite \textit{J. Yepez}, J. Stat. Phys. 107, No. 1--2, 203--224 (2002; Zbl 1024.81007) Full Text: DOI
Arndt, Peter F.; Rittenberg, Vladimir Spontaneous breaking of translational invariance and spatial condensation in stationary states on a ring. II: The charged system and the two-component Burgers equations. (English) Zbl 1008.82001 J. Stat. Phys. 107, No. 5-6, 989-1013 (2002). MSC: 82B10 81R50 82B26 82B80 PDFBibTeX XMLCite \textit{P. F. Arndt} and \textit{V. Rittenberg}, J. Stat. Phys. 107, No. 5--6, 989--1013 (2002; Zbl 1008.82001) Full Text: DOI arXiv
Kovalev, V. F.; Shirkov, D. V. Functional self-similarity and renormalization group symmetry in mathematical physics. (English. Russian original) Zbl 1007.81051 Theor. Math. Phys. 121, No. 1, 1315-1332 (1999); translation from Teor. Mat. Fiz. 121, No. 1, 66-88 (1999). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 82B28 35Q53 PDFBibTeX XMLCite \textit{V. F. Kovalev} and \textit{D. V. Shirkov}, Theor. Math. Phys. 121, No. 1, 1315--1332 (1999; Zbl 1007.81051); translation from Teor. Mat. Fiz. 121, No. 1, 66--88 (1999) Full Text: DOI arXiv
Dubois, Daniel M. Computational derivation of quantum and relativist systems with forward-backward space-time shifts. (English) Zbl 0972.81063 Dubois, Daniel M. (ed.), Computing anticipatory systems. Proceedings of the 2nd international conference (CASYS’98) held in Liège, Belgium, August 10-14, 1998. Woodbury, NY: AIP, American Institute of Physics. AIP Conf. Proc. 465, 435-456 (1999). MSC: 81R20 81P05 83A05 81-04 PDFBibTeX XMLCite \textit{D. M. Dubois}, AIP Conf. Proc. 465, 435--456 (1999; Zbl 0972.81063)
Sokhin, A. S. On a class of nonlinear matrix evolutionary Burgers equations. (Russian) Zbl 1002.81050 Kraj. Zadachi Dyfer. Rivnyan’ 3, 126-133 (1998). Reviewer: Yu.I.Kaplun (Kyïv) MSC: 81U40 35Q53 37K15 PDFBibTeX XMLCite \textit{A. S. Sokhin}, Kraĭ. Zadachi Dyfer. Rivnyan' 3, 126--133 (1998; Zbl 1002.81050)
Garbaczewski, Piotr; Kondrat, Grzegorz; Olkiewicz, Robert Schrödinger’s interpolating dynamics and Burgers’ flows. (English) Zbl 0939.35201 Chaos Solitons Fractals 9, No. 1-2, 29-41 (1998). MSC: 35R60 35Q53 37L55 81Q50 PDFBibTeX XMLCite \textit{P. Garbaczewski} et al., Chaos Solitons Fractals 9, No. 1--2, 29--41 (1998; Zbl 0939.35201) Full Text: DOI arXiv
Ivashkevich, E. V. Symmetries of stochastic Burgers equation. (English) Zbl 0924.35202 J. Phys. A, Math. Gen. 30, No. 15, L525-L533 (1997). MSC: 35R60 35Q53 76F05 60H15 76M35 81Q05 PDFBibTeX XMLCite \textit{E. V. Ivashkevich}, J. Phys. A, Math. Gen. 30, No. 15, L525--L533 (1997; Zbl 0924.35202) Full Text: DOI arXiv
Rapoport, Diego L. Geometro-stochastic theory of quantum mechanics, gravitation and hydrodynamics. (English) Zbl 0890.58097 Hadronic J. Suppl. 11, No. 4, 379-444 (1996). Reviewer: B.Goldys (Kensington) MSC: 58J65 81P20 83C40 PDFBibTeX XMLCite \textit{D. L. Rapoport}, Hadronic J. Suppl. 11, No. 4, 379--444 (1996; Zbl 0890.58097)
Kovalev, V. F.; Pustovalov, V. V. Lie algebra of renormalization group admitted by initial value problem for Burgers equation. (English) Zbl 0938.35599 Lie Groups Appl. 1, No. 2, 104-120 (1994). MSC: 35Q35 58J70 81T17 PDFBibTeX XMLCite \textit{V. F. Kovalev} and \textit{V. V. Pustovalov}, Lie Groups Appl. 1, No. 2, 104--120 (1994; Zbl 0938.35599)
Revilla, M. A. Simple time and space adaptation in one-dimensional evolutionary partial differential equations. (English) Zbl 0658.65127 Int. J. Numer. Methods Eng. 23, 2263-2275 (1986). MSC: 65Z05 65N50 35Q99 81Q05 PDFBibTeX XMLCite \textit{M. A. Revilla}, Int. J. Numer. Methods Eng. 23, 2263--2275 (1986; Zbl 0658.65127) Full Text: DOI