Nakpim, W.; Meleshko, S. V. Group classification of one-dimensional equations of relativistic gas dynamics. (English) Zbl 1509.35016 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107054, 15 p. (2023). MSC: 35B06 35Q35 76N15 PDFBibTeX XMLCite \textit{W. Nakpim} and \textit{S. V. Meleshko}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107054, 15 p. (2023; Zbl 1509.35016) Full Text: DOI
Grigoriev, Yu. N.; Meleshko, S. V.; Suriyawichitseranee, A. Group properties of equations of the kinetic theory of coagulation. (English. Russian original) Zbl 1421.35365 J. Appl. Mech. Tech. Phys. 60, No. 2, 350-364 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 190-206 (2019). MSC: 35Q82 35Q92 82C31 92D25 35R09 22E10 44A10 PDFBibTeX XMLCite \textit{Yu. N. Grigoriev} et al., J. Appl. Mech. Tech. Phys. 60, No. 2, 350--364 (2019; Zbl 1421.35365); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 190--206 (2019) Full Text: DOI
Alexeyev, Alexander A. A multidimensional superposition principle: classical solitons. IV. (English) Zbl 1420.35281 J. Nonlinear Math. Phys. 25, No. 1, 1-33 (2018). MSC: 35Q51 35Q53 37K35 37K40 35C08 PDFBibTeX XMLCite \textit{A. A. Alexeyev}, J. Nonlinear Math. Phys. 25, No. 1, 1--33 (2018; Zbl 1420.35281) Full Text: DOI
Chaiyasena, A.; Worapitpong, W.; Meleshko, S. V. Generalized Riemann waves and their adjoinment through a shock wave. (English) Zbl 1405.35148 Math. Model. Nat. Phenom. 13, No. 2, Paper No. 22, 13 p. (2018). MSC: 35Q31 76M60 76N15 PDFBibTeX XMLCite \textit{A. Chaiyasena} et al., Math. Model. Nat. Phenom. 13, No. 2, Paper No. 22, 13 p. (2018; Zbl 1405.35148) Full Text: DOI
Jamal, Sameerah \(n^{\text{th}}\)-order approximate Lagrangians induced by perturbative geometries. (English) Zbl 1394.76108 Math. Phys. Anal. Geom. 21, No. 3, Paper No. 25, 9 p. (2018). MSC: 76M60 35Q75 34E10 35C20 58J37 PDFBibTeX XMLCite \textit{S. Jamal}, Math. Phys. Anal. Geom. 21, No. 3, Paper No. 25, 9 p. (2018; Zbl 1394.76108) Full Text: DOI
Paliathanasis, Andronikos; Jamal, Sameerah Approximate Noether symmetries and collineations for regular perturbative Lagrangians. (English) Zbl 1386.22013 J. Geom. Phys. 124, 300-310 (2018). MSC: 22E60 76M60 35Q75 34C20 PDFBibTeX XMLCite \textit{A. Paliathanasis} and \textit{S. Jamal}, J. Geom. Phys. 124, 300--310 (2018; Zbl 1386.22013) Full Text: DOI arXiv
Shan’ko, Yu. V. Solution of the Ovsyannikov problem of two-dimensional isothermal motion of a polytropic gas. (English. Russian original) Zbl 1444.35131 J. Appl. Mech. Tech. Phys. 58, No. 6, 957-967 (2017); translation from Prikl. Mekh. Tekh. Fiz. 58, No. 6, 3-15 (2017). MSC: 35Q35 35N05 PDFBibTeX XMLCite \textit{Yu. V. Shan'ko}, J. Appl. Mech. Tech. Phys. 58, No. 6, 957--967 (2017; Zbl 1444.35131); translation from Prikl. Mekh. Tekh. Fiz. 58, No. 6, 3--15 (2017) Full Text: DOI
Krasil’shchik, Joseph; Verbovetskiy, Alexander; Vitolo, Raffaele The symbolic computation of integrability structures for partial differential equations. (English) Zbl 1407.68015 Texts & Monographs in Symbolic Computation. Cham: Springer (ISBN 978-3-319-71654-1/hbk; 978-3-319-71655-8/ebook). xv, 263 p. (2017). MSC: 68-02 35-04 35A30 35Q53 37K99 58J72 68W30 PDFBibTeX XMLCite \textit{J. Krasil'shchik} et al., The symbolic computation of integrability structures for partial differential equations. Cham: Springer (2017; Zbl 1407.68015) Full Text: DOI
Cimmelli, Vito A.; Oliveri, F.; Pace, A. Raffaele Phase-field evolution in Cahn-Hilliard-Korteweg fluids. (English) Zbl 1401.35249 Acta Mech. 227, No. 8, 2111-2124 (2016). MSC: 35Q35 80A17 PDFBibTeX XMLCite \textit{V. A. Cimmelli} et al., Acta Mech. 227, No. 8, 2111--2124 (2016; Zbl 1401.35249) Full Text: DOI
Roberts, A. J. Model emergent dynamics in complex systems. (English) Zbl 1330.34013 Mathematical Modeling and Computation 20. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-355-6/pbk). xii, 748 p. (2015). Reviewer: Nikola Popovic (Edinburgh) (MR3244318) MSC: 34-02 34C45 34Exx 35Q35 37C10 37D10 37L10 76A20 PDFBibTeX XMLCite \textit{A. J. Roberts}, Model emergent dynamics in complex systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2015; Zbl 1330.34013)
Koparan, Murat Derivation of Korteweg-de Vries flow equations from fourth order nonlinear Schrödinger equation. (English) Zbl 1287.35082 Math. Methods Appl. Sci. 37, No. 3, 402-407 (2014). MSC: 35Q55 35Q53 PDFBibTeX XMLCite \textit{M. Koparan}, Math. Methods Appl. Sci. 37, No. 3, 402--407 (2014; Zbl 1287.35082) Full Text: DOI
Meleshko, S. V.; Sumrum, O.; Schulz, E. Application of group analysis to stochastic equations of fluid dynamics. (English. Russian original) Zbl 1298.76135 J. Appl. Mech. Tech. Phys. 54, No. 1, 21-33 (2013); translation from Prikl. Mekh. Tekh. Fiz. 54, No. 1, 25-39 (2013). MSC: 76M60 76D06 35Q30 PDFBibTeX XMLCite \textit{S. V. Meleshko} et al., J. Appl. Mech. Tech. Phys. 54, No. 1, 21--33 (2013; Zbl 1298.76135); translation from Prikl. Mekh. Tekh. Fiz. 54, No. 1, 25--39 (2013) Full Text: DOI
Siriwat, P.; Meleshko, S. V. Group classification of one-dimensional nonisentropic equations of fluids with internal inertia. (English) Zbl 1342.58009 Contin. Mech. Thermodyn. 24, No. 2, 115-148 (2012). MSC: 58D19 58Z05 35Q35 76T10 35A30 PDFBibTeX XMLCite \textit{P. Siriwat} and \textit{S. V. Meleshko}, Contin. Mech. Thermodyn. 24, No. 2, 115--148 (2012; Zbl 1342.58009) Full Text: DOI
Vu, K. T.; Jefferson, G. F.; Carminati, J. Finding higher symmetries of differential equations using the MAPLE package DESOLVII. (English) Zbl 1308.35002 Comput. Phys. Commun. 183, No. 4, 1044-1054 (2012). MSC: 35-04 35A30 35C05 68W30 35Q84 PDFBibTeX XMLCite \textit{K. T. Vu} et al., Comput. Phys. Commun. 183, No. 4, 1044--1054 (2012; Zbl 1308.35002) Full Text: DOI
Moitsheki, R. J.; Hayat, T.; Malik, M. Y. Some exact solutions of the fin problem with a power law temperature-dependent thermal conductivity. (English) Zbl 1261.35140 Nonlinear Anal., Real World Appl. 11, No. 5, 3287-3294 (2010). MSC: 35Q79 35A30 80A20 PDFBibTeX XMLCite \textit{R. J. Moitsheki} et al., Nonlinear Anal., Real World Appl. 11, No. 5, 3287--3294 (2010; Zbl 1261.35140) Full Text: DOI
Özer, Mehmet Naci; Taşcan, Filiz; Koparan, Murat Derivation of Korteweg-de Vries flow equations from modified nonlinear Schrödinger equation. (English) Zbl 1194.35422 Nonlinear Anal., Real World Appl. 11, No. 4, 2619-2623 (2010). MSC: 35Q55 35Q53 37K05 37K10 PDFBibTeX XMLCite \textit{M. N. Özer} et al., Nonlinear Anal., Real World Appl. 11, No. 4, 2619--2623 (2010; Zbl 1194.35422) Full Text: DOI
Poole, Douglas; Hereman, Willy The homotopy operator method of symbolic integration by parts and inversion of divergences with applications. (English) Zbl 1193.37077 Appl. Anal. 89, No. 4, 433-455 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J35 37K40 35Q51 68W30 47J35 70H06 PDFBibTeX XMLCite \textit{D. Poole} and \textit{W. Hereman}, Appl. Anal. 89, No. 4, 433--455 (2010; Zbl 1193.37077) Full Text: DOI arXiv
Popowicz, Ziemowit Odd Hamiltonian structure for supersymmetric Sawada-Kotera equation. (English) Zbl 1233.81034 Phys. Lett., A 373, No. 37, 3315-3323 (2009). MSC: 81T60 35Q51 37K10 81R12 PDFBibTeX XMLCite \textit{Z. Popowicz}, Phys. Lett., A 373, No. 37, 3315--3323 (2009; Zbl 1233.81034) Full Text: DOI arXiv
Hereman, Willy; Adams, Paul J.; Eklund, Holly L.; Hickman, Mark S.; Herbst, Barend M. Direct methods and symbolic software for conservation laws of nonlinear equations. (English) Zbl 1210.35164 Yan, Zhenya (ed.), Advances in nonlinear waves and symbolic computation. New York, NY: Nova Science Publishers (ISBN 978-1-60692-260-6). 19-78 (2009). MSC: 35L65 34A33 68W30 35A30 35Q53 70S10 PDFBibTeX XMLCite \textit{W. Hereman} et al., in: Advances in nonlinear waves and symbolic computation. New York, NY: Nova Science Publishers. 19--78 (2009; Zbl 1210.35164) Full Text: arXiv
Özer, Mehmet Naci; Taşcan, Filiz Derivation of Korteweg-de Vries flow equations from nonlinear Schrödinger equation. (English) Zbl 1198.37095 Chaos Solitons Fractals 40, No. 5, 2265-2270 (2009). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{M. N. Özer} and \textit{F. Taşcan}, Chaos Solitons Fractals 40, No. 5, 2265--2270 (2009; Zbl 1198.37095) Full Text: DOI
Nucci, M. C. Jacobi’s last multiplier, Lie symmetries, and hidden linearity: “goldfishes” galore. (English. Russian original) Zbl 1137.70010 Theor. Math. Phys. 151, No. 3, 851-862 (2007); translation from Teor. Mat. Fiz. 151, No. 3, 495-509 (2007). MSC: 70G65 70H33 35Q99 PDFBibTeX XMLCite \textit{M. C. Nucci}, Theor. Math. Phys. 151, No. 3, 851--862 (2007; Zbl 1137.70010); translation from Teor. Mat. Fiz. 151, No. 3, 495--509 (2007) Full Text: DOI
Hematulin, Apichai; Meleshko, Sergey V.; Gavrilyuk, Sergey L. Group classification of one-dimensional equations of fluids with internal inertia. (English) Zbl 1388.76323 Math. Methods Appl. Sci. 30, No. 16, 2101-2120 (2007). MSC: 76M60 58J70 35Q35 35A30 PDFBibTeX XMLCite \textit{A. Hematulin} et al., Math. Methods Appl. Sci. 30, No. 16, 2101--2120 (2007; Zbl 1388.76323) Full Text: DOI
Hietarinta, Jarmo; Viallet, Claude Searching for integrable lattice maps using factorization. (English) Zbl 1155.35463 J. Phys. A, Math. Theor. 40, No. 42, 12629-12643 (2007). MSC: 35Q58 37K60 PDFBibTeX XMLCite \textit{J. Hietarinta} and \textit{C. Viallet}, J. Phys. A, Math. Theor. 40, No. 42, 12629--12643 (2007; Zbl 1155.35463) Full Text: DOI arXiv
Makinde, O. D.; Moitsheki, R. J.; Tau, B. A. Similarity reductions of equations for river pollution. (English) Zbl 1113.92068 Appl. Math. Comput. 188, No. 2, 1267-1273 (2007). MSC: 92D40 35A30 35Q92 PDFBibTeX XMLCite \textit{O. D. Makinde} et al., Appl. Math. Comput. 188, No. 2, 1267--1273 (2007; Zbl 1113.92068) Full Text: DOI
Rinne, Oliver Stable radiation-controlling boundary conditions for the generalized harmonic Einstein equations. (English) Zbl 1133.83304 Classical Quantum Gravity 23, No. 22, 6275-6300 (2006). Reviewer: Giovanni Giachetta (Camerino) MSC: 83C05 35Q75 PDFBibTeX XMLCite \textit{O. Rinne}, Classical Quantum Gravity 23, No. 22, 6275--6300 (2006; Zbl 1133.83304) Full Text: DOI arXiv Link
Moitsheki, R. J.; Broadbridge, P.; Edwards, M. P. Group invariant solutions for two-dimensional solute transport under realistic water flows. (English) Zbl 1101.35064 Quaest. Math. 29, No. 1, 73-83 (2006). MSC: 35Q35 76T20 82C70 PDFBibTeX XMLCite \textit{R. J. Moitsheki} et al., Quaest. Math. 29, No. 1, 73--83 (2006; Zbl 1101.35064) Full Text: DOI
Vernov, S. Yu. Interdependence between the Laurent-series and elliptic solutions of nonintegrable systems. (English) Zbl 1169.65319 Ganzha, Victor G. (ed.) et al., Computer algebra in scientific computing. 8th international workshop, CASC 2005, Kalamata, Greece, September 12–16, 2005. Proceedings. Berlin: Springer (ISBN 3-540-28966-6/pbk). Lecture Notes in Computer Science 3718, 457-468 (2005). MSC: 65H99 35Q55 PDFBibTeX XMLCite \textit{S. Yu. Vernov}, Lect. Notes Comput. Sci. 3718, 457--468 (2005; Zbl 1169.65319) Full Text: DOI
Tsuchida, Takayuki; Wolf, Thomas Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I. (English) Zbl 1076.35113 J. Phys. A, Math. Gen. 38, No. 35, 7691-7733 (2005). MSC: 35Q53 37K10 35-04 35Q51 PDFBibTeX XMLCite \textit{T. Tsuchida} and \textit{T. Wolf}, J. Phys. A, Math. Gen. 38, No. 35, 7691--7733 (2005; Zbl 1076.35113) Full Text: DOI arXiv
Hematulin, A.; Meleshko, S. V. A new approach related with group analysis and hodograph type transformation for constructing exact solutions. (English) Zbl 1070.35050 Math. Comput. Simul. 69, No. 3-4, 282-289 (2005). MSC: 35Q40 35L70 35A30 PDFBibTeX XMLCite \textit{A. Hematulin} and \textit{S. V. Meleshko}, Math. Comput. Simul. 69, No. 3--4, 282--289 (2005; Zbl 1070.35050) Full Text: DOI
Wolf, Thomas Applications of CRACK in the classification of integrable systems. (English) Zbl 1073.37081 Tempesta, P. (ed.) et al., Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16–21, 2002 . Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3329-4/pbk). CRM Proceedings and Lecture Notes 37, 283-300 (2004). Reviewer: Gheorghe Zet (Iaşi) MSC: 37K10 35Q53 35Q55 37-04 PDFBibTeX XMLCite \textit{T. Wolf}, in: Superintegrability in classical and quantum systems. Proceedings of a workshop, Montréal, Canada, September 16--21, 2002. Providence, RI: American Mathematical Society (AMS). 283--300 (2004; Zbl 1073.37081) Full Text: arXiv
Özer, M. N.; Döken, F. T. Derivation of integrable nonlinear evolution equations from the higher order NLS equation. (English) Zbl 1039.35117 J. Phys. A, Math. Gen. 36, No. 9, 2319-2323 (2003). MSC: 35Q55 37K10 PDFBibTeX XMLCite \textit{M. N. Özer} and \textit{F. T. Döken}, J. Phys. A, Math. Gen. 36, No. 9, 2319--2323 (2003; Zbl 1039.35117) Full Text: DOI
Khrustalev, Oleg; Vernov, Sergey Construction of doubly periodic solutions via the Poincaré-Lindstedt method in the case of massless \(\varphi^4\) theory. (English) Zbl 0980.35161 Math. Comput. Simul. 57, No. 3-5, 239-252 (2001). MSC: 35Q75 35B10 35L05 PDFBibTeX XMLCite \textit{O. Khrustalev} and \textit{S. Vernov}, Math. Comput. Simul. 57, No. 3--5, 239--252 (2001; Zbl 0980.35161) Full Text: DOI arXiv
Das, Ashok; Popowicz, Ziemowit Dispersionless sTB. (English) Zbl 1115.35370 Phys. Lett., A 272, No. 1-2, 65-73 (2000). MSC: 35Q58 37K10 PDFBibTeX XMLCite \textit{A. Das} and \textit{Z. Popowicz}, Phys. Lett., A 272, No. 1--2, 65--73 (2000; Zbl 1115.35370) Full Text: DOI arXiv
Bublik, Vasiliy V. Group classification of the Navier-Stokes equations for compressible viscous heat-conducting gas. (English) Zbl 1051.35501 Ganzha, Viktor G. (ed.) et al., Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5–9, 2000. Berlin: Springer (ISBN 3-540-41040-6). 61-67 (2000). MSC: 35A30 35Q30 76D05 PDFBibTeX XMLCite \textit{V. V. Bublik}, in: Computer algebra in scientific computing. CASC 2000. Proceedings of the 3rd workshop, Samarkand, Uzbekistan, October 5--9, 2000. Berlin: Springer. 61--67 (2000; Zbl 1051.35501)
Popowicz, Z. Odd bi-Hamiltonian structure of new supersymmetric \(N=2,4\) Korteweg de Vries equation and odd SUSY Virasoro-like algebra. (English) Zbl 1058.37528 Phys. Lett., B 459, No. 1-3, 150-158 (1999). MSC: 37K10 35Q53 37K30 PDFBibTeX XMLCite \textit{Z. Popowicz}, Phys. Lett., B 459, No. 1--3, 150--158 (1999; Zbl 1058.37528) Full Text: DOI arXiv
Popowicz, Z. Extensions of the \(N=2\) supersymmetric \(a=-2\) Boussinesq hierarchy. (English) Zbl 0969.37523 Phys. Lett., A 236, No. 5-6, 455-461 (1997). MSC: 37K10 35A30 35Q53 PDFBibTeX XMLCite \textit{Z. Popowicz}, Phys. Lett., A 236, No. 5--6, 455--461 (1997; Zbl 0969.37523) Full Text: DOI arXiv
Popwicz, Ziemowit Integrable system constructed out of two interacting superconformal fields. (English) Zbl 0927.35096 J. Phys. A, Math. Gen. 30, No. 22, 7935-7944 (1997). MSC: 35Q53 37J35 81T60 PDFBibTeX XMLCite \textit{Z. Popwicz}, J. Phys. A, Math. Gen. 30, No. 22, 7935--7944 (1997; Zbl 0927.35096) Full Text: DOI arXiv
Grozin, A. G. Using REDUCE in high energy physics. (English) Zbl 0910.65096 Cambridge: Cambridge Univ. Press. xiv, 213 p. (1997). Reviewer: V.Burjan (Praha) MSC: 65Z05 65-02 68W30 35Q40 70Kxx 76B15 81Vxx PDFBibTeX XMLCite \textit{A. G. Grozin}, Using REDUCE in high energy physics. Cambridge: Cambridge Univ. Press (1997; Zbl 0910.65096)
Wolf, T.; Brand, A. Examples of the investigation of differential equations with modularized programs. (English) Zbl 0881.34001 Math. Comput. Modelling 25, No. 8-9, 133-139 (1997). Reviewer: W.M.Seiler (Karlsruhe) MSC: 34-04 35-04 34A05 35C05 35N10 35Q75 68W30 PDFBibTeX XMLCite \textit{T. Wolf} and \textit{A. Brand}, Math. Comput. Modelling 25, No. 8--9, 133--139 (1997; Zbl 0881.34001) Full Text: DOI
Hereman, W. Review of symbolic software for Lie symmetry analysis. (English) Zbl 0898.34002 Math. Comput. Modelling 25, No. 8-9, 115-132 (1997). Reviewer: K.Gatermann (Berlin) MSC: 34-04 68Q25 34L40 35Q55 22E99 PDFBibTeX XMLCite \textit{W. Hereman}, Math. Comput. Modelling 25, No. 8--9, 115--132 (1997; Zbl 0898.34002) Full Text: DOI
Demaret, Jacques; Scheen, Christian Painlevé singularity analysis of the perfect fluid Bianchi type-IX relativistic cosmological model. (English) Zbl 0911.53058 J. Phys. A, Math. Gen. 29, No. 1, 59-76 (1996). MSC: 53Z05 83C20 83C55 35Q75 37N99 PDFBibTeX XMLCite \textit{J. Demaret} and \textit{C. Scheen}, J. Phys. A, Math. Gen. 29, No. 1, 59--76 (1996; Zbl 0911.53058) Full Text: DOI
Kadlecsik, József Ricci calculus package in REDUCE. (English) Zbl 0917.65107 Comput. Phys. Commun. 93, No. 2-3, 265-282 (1996). MSC: 65Z05 65Y15 68W30 53Z05 35Q75 83-08 PDFBibTeX XMLCite \textit{J. Kadlecsik}, Comput. Phys. Commun. 93, No. 2--3, 265--282 (1996; Zbl 0917.65107) Full Text: DOI
Edwards, M. P.; Broadbridge, P. Exceptional symmetry reductions of Burgers’ equation in two and three spatial dimensions. (English) Zbl 0843.35099 Z. Angew. Math. Phys. 46, No. 4, 595-622 (1995). Reviewer: M.Čanak (Beograd) MSC: 35Q53 58J70 PDFBibTeX XMLCite \textit{M. P. Edwards} and \textit{P. Broadbridge}, Z. Angew. Math. Phys. 46, No. 4, 595--622 (1995; Zbl 0843.35099) Full Text: DOI
Liska, R.; Margolin, L.; Wendroff, B. Nonhydrostatic two-layer models of incompressible flow. (English) Zbl 0819.76095 Comput. Math. Appl. 29, No. 9, 25-37 (1995). MSC: 76V05 76B15 35Q35 35R25 PDFBibTeX XMLCite \textit{R. Liska} et al., Comput. Math. Appl. 29, No. 9, 25--37 (1995; Zbl 0819.76095) Full Text: DOI
Lučić, Vladan Dill: An algorithm and a symbolic software package for doing classical supersymmetry calculations. (English) Zbl 0908.65115 Comput. Phys. Commun. 92, No. 1, 90-110 (1995). MSC: 65Z05 35Q40 81-04 65Y15 81T60 81Q60 PDFBibTeX XMLCite \textit{V. Lučić}, Comput. Phys. Commun. 92, No. 1, 90--110 (1995; Zbl 0908.65115) Full Text: DOI arXiv
Nucci, M. C. Symmetries and symbolic computation. (English) Zbl 0797.35147 Ames, W. F. (ed.) et al., Differential equations with applications to mathematical physics. Boston, MA: Academic Press, Inc.. Math. Sci. Eng. 192, 249-260 (1993). MSC: 35Q53 35A30 68W30 PDFBibTeX XMLCite \textit{M. C. Nucci}, Math. Sci. Eng. 192, 249--260 (1993; Zbl 0797.35147)
Broadbridge, Philip; Rogers, Colin On a nonlinear reaction-diffusion boundary-value problem: Application of a Lie–Bäcklund symmetry. (English) Zbl 0790.35103 J. Aust. Math. Soc., Ser. B 34, No. 3, 318-332 (1993). MSC: 35Q58 35K57 58J70 76V05 PDFBibTeX XMLCite \textit{P. Broadbridge} and \textit{C. Rogers}, J. Aust. Math. Soc., Ser. B 34, No. 3, 318--332 (1993; Zbl 0790.35103) Full Text: DOI
Zharkov, A. Yu. Computer classification of the integrable coupled KdV-like systems with unit main matrix. (English) Zbl 0771.35067 J. Symb. Comput. 15, No. 1, 85-90 (1993). MSC: 35Q53 68W30 PDFBibTeX XMLCite \textit{A. Yu. Zharkov}, J. Symb. Comput. 15, No. 1, 85--90 (1993; Zbl 0771.35067) Full Text: DOI
Nucci, M. C. Interactive REDUCE programs for calculating classical, non-classical, and approximate symmetries of differential equations. (English) Zbl 0774.68070 Computational and applied mathematics, II: Differential equations, Sel. Rev. Pap. IMACS 13th World Congr., Dublin/Irel. 1991, 345-350 (1992). MSC: 68W30 35-04 58J70 35A30 35Q53 PDFBibTeX XMLCite \textit{M. C. Nucci}, in: Computational and applied mathematics, II: Differential equations. Selected and revised papers from the IMACS 13th world congress, Dublin, Ireland, July 1991. Amsterdam: North-Holland. 345--350 (1992; Zbl 0774.68070)
Sophocleous, Christodoulos On symmetries of radially symmetric nonlinear diffusion equations. (English) Zbl 0779.35095 J. Math. Phys. 33, No. 11, 3687-3693 (1992). MSC: 35Q35 58J70 35A30 PDFBibTeX XMLCite \textit{C. Sophocleous}, J. Math. Phys. 33, No. 11, 3687--3693 (1992; Zbl 0779.35095) Full Text: DOI
Gardner, L. R. T.; Gardner, G. A.; Ali, A. H. A. Simulations of solitons using quadratic spline finite elements. (English) Zbl 0825.76417 Comput. Methods Appl. Mech. Eng. 92, No. 2, 231-243 (1991). MSC: 76M10 76B25 35Q53 PDFBibTeX XMLCite \textit{L. R. T. Gardner} et al., Comput. Methods Appl. Mech. Eng. 92, No. 2, 231--243 (1991; Zbl 0825.76417) Full Text: DOI
Hunt, R. E.; Crighton, D. G. Instability of flows in spatially developing media. (English) Zbl 0731.76032 Proc. R. Soc. Lond., Ser. A 435, No. 1893, 109-128 (1991). MSC: 76E99 35Q35 PDFBibTeX XMLCite \textit{R. E. Hunt} and \textit{D. G. Crighton}, Proc. R. Soc. Lond., Ser. A 435, No. 1893, 109--128 (1991; Zbl 0731.76032) Full Text: DOI
Gragert, P. K. H.; Kersten, P. H. M. Graded differential geometry in REDUCE: Supersymmetry structures of the modified KdV equation. (English) Zbl 0745.58007 Acta Appl. Math. 24, No. 3, 211-231 (1991). Reviewer: J.Chrastina (Brno) MSC: 58A50 35Q53 68W30 35G05 35A30 58J70 PDFBibTeX XMLCite \textit{P. K. H. Gragert} and \textit{P. H. M. Kersten}, Acta Appl. Math. 24, No. 3, 211--231 (1991; Zbl 0745.58007) Full Text: DOI
Liska, Richard; Shashkov, Michail Yu. Algorithms for difference schemes construction on non-orthogonal logically rectangular meshes. (English) Zbl 0919.65054 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 419-426 (1991). MSC: 65M06 65M50 35K55 65M70 68W30 35Q35 76N15 PDFBibTeX XMLCite \textit{R. Liska} and \textit{M. Yu. Shashkov}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 419--426 (1991; Zbl 0919.65054)
Hietarinta, Jarmo Searching for integrable PDE’s by testing Hirota’s three-soliton condition. (English) Zbl 0925.35148 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 295-300 (1991). MSC: 35Q58 68W30 PDFBibTeX XMLCite \textit{J. Hietarinta}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 295--300 (1991; Zbl 0925.35148)
Renner, Friedrich Nonlinear evolution equations and the Painlevé analysis: A constructive approach with REDUCE. (English) Zbl 0925.35001 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 289-294 (1991). MSC: 35-04 68W30 35Q58 PDFBibTeX XMLCite \textit{F. Renner}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 289--294 (1991; Zbl 0925.35001)
Gardner, L. R. T.; Gardner, G. A. Solitary waves of the regularised long-wave equation. (English) Zbl 0717.65072 J. Comput. Phys. 91, No. 2, 441-459 (1990). Reviewer: W.Ames MSC: 65M60 65M12 35Q53 35L70 PDFBibTeX XMLCite \textit{L. R. T. Gardner} and \textit{G. A. Gardner}, J. Comput. Phys. 91, No. 2, 441--459 (1990; Zbl 0717.65072) Full Text: DOI
Hietarinta, J. Hirota’s bilinear method and partial integrability. (English) Zbl 0717.58024 Partially integrable evolution equations in physics, Proc. NATO/ASI, Les Houches/Fr. 1989, NATO ASI Ser., Ser. C 310, 459-478 (1990). Reviewer: G.Warnecke MSC: 37J35 37K10 35Q51 PDFBibTeX XML
Coffey, Mark W. On series expansions giving closed-form solutions of Korteweg-de Vries- like equations. (English) Zbl 0712.76025 SIAM J. Appl. Math. 50, No. 6, 1580-1592 (1990). MSC: 76B25 35Q53 35C05 PDFBibTeX XMLCite \textit{M. W. Coffey}, SIAM J. Appl. Math. 50, No. 6, 1580--1592 (1990; Zbl 0712.76025) Full Text: DOI
Gerdt, V. P.; Zharkov, A. Yu. Computer classification of integrable coupled KdV-like systems. (English) Zbl 0704.68062 J. Symb. Comput. 10, No. 2, 203-207 (1990). MSC: 68W30 35Q53 PDFBibTeX XMLCite \textit{V. P. Gerdt} and \textit{A. Yu. Zharkov}, J. Symb. Comput. 10, No. 2, 203--207 (1990; Zbl 0704.68062) Full Text: DOI
Bona, Jerry L.; Sachs, Robert L. The existence of internal solitary waves in a two-fluid system near the KdV limit. (English) Zbl 0708.76136 Geophys. Astrophys. Fluid Dyn. 48, No. 1-3, 25-51 (1989). MSC: 76T99 76B55 35Q53 PDFBibTeX XMLCite \textit{J. L. Bona} and \textit{R. L. Sachs}, Geophys. Astrophys. Fluid Dyn. 48, No. 1--3, 25--51 (1989; Zbl 0708.76136) Full Text: DOI
Ito, Masaaki A REDUCE program for Hirota’s bilinear operator and Wronskian operations. (English) Zbl 0816.65114 Comput. Phys. Commun. 50, No. 3, 321-330 (1988). MSC: 65Z05 35G10 35K25 35Q51 35K55 PDFBibTeX XMLCite \textit{M. Ito}, Comput. Phys. Commun. 50, No. 3, 321--330 (1988; Zbl 0816.65114) Full Text: DOI
Gerdt, V. P.; Shvachka, A. B.; Zharkov, A. Yu. Computer algebra application for classification of integrable non-linear evolution equations. (English) Zbl 0577.35099 J. Symb. Comput. 1, 101-107 (1985). MSC: 35Q99 35G20 68U99 PDFBibTeX XMLCite \textit{V. P. Gerdt} et al., J. Symb. Comput. 1, 101--107 (1985; Zbl 0577.35099) Full Text: DOI
Schwarz, Fritz The Riquier-Janet theory and its application to nonlinear evolution equations. (English) Zbl 0588.58032 Physica D 11, 243-251 (1984). Reviewer: G.Warnecke MSC: 37J35 37K10 35Q99 68R99 PDFBibTeX XMLCite \textit{F. Schwarz}, Physica D 11, 243--251 (1984; Zbl 0588.58032) Full Text: DOI