Tarasov, Vasily E. Continuous limit of discrete systems with long-range interaction. (English) Zbl 1197.82044 J. Phys. A, Math. Gen. 39, No. 48, 14895-14910 (2006). MSC: 82B20 82C21 37K60 37L60 PDFBibTeX XMLCite \textit{V. E. Tarasov}, J. Phys. A, Math. Gen. 39, No. 48, 14895--14910 (2006; Zbl 1197.82044) Full Text: DOI arXiv
Bai, Cheng-Lin; Zhao, Hong Interactions among periodic waves and solitary waves for a higher dimensional system. (English) Zbl 1092.35521 J. Phys. A, Math. Gen. 39, No. 13, 3283-3293 (2006). MSC: 35Q53 37K40 35Q51 PDFBibTeX XMLCite \textit{C.-L. Bai} and \textit{H. Zhao}, J. Phys. A, Math. Gen. 39, No. 13, 3283--3293 (2006; Zbl 1092.35521) Full Text: DOI
Valiquette, F.; Winternitz, P. Discretization of partial differential equations preserving their physical symmetries. (English) Zbl 1078.76051 J. Phys. A, Math. Gen. 38, No. 45, 9765-9783 (2005). MSC: 76M20 76M60 80M20 65M06 PDFBibTeX XMLCite \textit{F. Valiquette} and \textit{P. Winternitz}, J. Phys. A, Math. Gen. 38, No. 45, 9765--9783 (2005; Zbl 1078.76051) Full Text: DOI arXiv
Watanabe, Tomonori Concrete construction and properties of the difference equation derived from the cellular automaton using the filtration technique. (English) Zbl 1046.39014 J. Phys. A, Math. Gen. 35, No. 2, 305-317 (2002). MSC: 39A12 35Q53 35R10 68Q80 82C80 65M06 PDFBibTeX XMLCite \textit{T. Watanabe}, J. Phys. A, Math. Gen. 35, No. 2, 305--317 (2002; Zbl 1046.39014) Full Text: DOI
Güngör, F. Addendum: Symmetries and invariant solutions of the two-dimensional variable coefficient Burgers equation. (English) Zbl 0997.35075 J. Phys. A, Math. Gen. 35, No. 7, 1805-1806 (2002). MSC: 35Q53 37K30 PDFBibTeX XMLCite \textit{F. Güngör}, J. Phys. A, Math. Gen. 35, No. 7, 1805--1806 (2002; Zbl 0997.35075) Full Text: DOI
Common, A. K.; Musette, M. Exact solutions of non-integrable lattice equations. (English) Zbl 0988.35142 J. Phys. A, Math. Gen. 34, No. 48, 10401-10410 (2001). MSC: 35Q53 35R10 37K60 PDFBibTeX XMLCite \textit{A. K. Common} and \textit{M. Musette}, J. Phys. A, Math. Gen. 34, No. 48, 10401--10410 (2001; Zbl 0988.35142) Full Text: DOI
Herrera, Mauricio; Hojman, Sergio A. Construction of alternative Hamiltonian structures for field equations. (English) Zbl 0990.37049 J. Phys. A, Math. Gen. 34, No. 31, 6135-6141 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K05 35K05 70S05 35Q53 PDFBibTeX XMLCite \textit{M. Herrera} and \textit{S. A. Hojman}, J. Phys. A, Math. Gen. 34, No. 31, 6135--6141 (2001; Zbl 0990.37049) Full Text: DOI
Hietarinta, Jarmo Comment on: “Exact solutions of the two-dimensional Burgers equation”. (English) Zbl 0981.35078 J. Phys. A, Math. Gen. 33, No. 28, 5157-5158 (2000). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{J. Hietarinta}, J. Phys. A, Math. Gen. 33, No. 28, 5157--5158 (2000; Zbl 0981.35078) Full Text: DOI
Buick, J. M.; Buckley, C. L.; Greated, C. A.; Gilbert, J. Lattice Boltzmann BGK simulation of nonlinear sound waves: The development of a shock front. (English) Zbl 0957.76065 J. Phys. A, Math. Gen. 33, No. 21, 3917-3928 (2000). MSC: 76M28 76Q05 82B40 76P05 76L05 PDFBibTeX XMLCite \textit{J. M. Buick} et al., J. Phys. A, Math. Gen. 33, No. 21, 3917--3928 (2000; Zbl 0957.76065) Full Text: DOI HAL
Bauer, Michel; Bernard, Denis Sailing the deep blue sea of decaying Burgers turbulence. (English) Zbl 0962.76038 J. Phys. A, Math. Gen. 32, No. 28, 5179-5199 (1999). MSC: 76F55 76F25 PDFBibTeX XMLCite \textit{M. Bauer} and \textit{D. Bernard}, J. Phys. A, Math. Gen. 32, No. 28, 5179--5199 (1999; Zbl 0962.76038) Full Text: DOI arXiv
Hernández Heredero, R.; Levi, D.; Winternitz, P. Symmetries of the discrete Burgers equation. (English) Zbl 0941.35093 J. Phys. A, Math. Gen. 32, No. 14, 2685-2695 (1999). MSC: 35Q53 37K60 35A30 39A70 PDFBibTeX XMLCite \textit{R. Hernández Heredero} et al., J. Phys. A, Math. Gen. 32, No. 14, 2685--2695 (1999; Zbl 0941.35093) Full Text: DOI
Nishinari, Katsuhiro; Takahashi, Daisuke Analytical properties of ultradiscrete Burgers equation and rule-184 cellular automaton. (English) Zbl 0981.37028 J. Phys. A, Math. Gen. 31, No. 24, 5439-5450 (1998). MSC: 37K10 37B15 PDFBibTeX XMLCite \textit{K. Nishinari} and \textit{D. Takahashi}, J. Phys. A, Math. Gen. 31, No. 24, 5439--5450 (1998; Zbl 0981.37028) Full Text: DOI
Bernard, Denis; Gawȩdzki, Krzysztof Scaling and exotic regimes in decaying Burgers turbulence. (English) Zbl 0959.76032 J. Phys. A, Math. Gen. 31, No. 44, 8735-8743 (1998). MSC: 76F55 76M55 35Q53 76M35 PDFBibTeX XMLCite \textit{D. Bernard} and \textit{K. Gawȩdzki}, J. Phys. A, Math. Gen. 31, No. 44, 8735--8743 (1998; Zbl 0959.76032) Full Text: DOI arXiv
Gomberoff, Andrés; Hojman, Sergio A. Non-standard construction of Hamiltonian structures. (English) Zbl 0939.70020 J. Phys. A, Math. Gen. 30, No. 14, 5077-5084 (1997). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 70S05 70H05 PDFBibTeX XMLCite \textit{A. Gomberoff} and \textit{S. A. Hojman}, J. Phys. A, Math. Gen. 30, No. 14, 5077--5084 (1997; Zbl 0939.70020) 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
Ginanneschi, Paolo Muratore Models of passive and reactive tracer motion: An application of Ito calculus. (English) Zbl 0935.82032 J. Phys. A, Math. Gen. 30, No. 15, L519-L523 (1997). MSC: 82C31 82C70 60H30 35K57 35Q53 PDFBibTeX XMLCite \textit{P. M. Ginanneschi}, J. Phys. A, Math. Gen. 30, No. 15, L519--L523 (1997; Zbl 0935.82032) Full Text: DOI arXiv
Dimakis, Aristophanes; Müller-Hoissen, Folkert Soliton equations and the zero curvature condition in noncommutative geometry. (English) Zbl 0906.35088 J. Phys. A, Math. Gen. 29, No. 22, 7279-7286 (1996). MSC: 35Q51 46L85 46L87 PDFBibTeX XMLCite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, J. Phys. A, Math. Gen. 29, No. 22, 7279--7286 (1996; Zbl 0906.35088) Full Text: DOI arXiv
Gupta, Neelam Symmetry reductions of partial differential equations related to singular manifold expansions. (English) Zbl 0870.35090 J. Phys. A, Math. Gen. 28, No. 18, 5361-5374 (1995). MSC: 35Q53 58J70 35C05 PDFBibTeX XMLCite \textit{N. Gupta}, J. Phys. A, Math. Gen. 28, No. 18, 5361--5374 (1995; Zbl 0870.35090) Full Text: DOI
Liu, Q. P. On the multi-component extensions of the Burgers equation. (English) Zbl 0843.35107 J. Phys. A, Math. Gen. 27, No. 11, 3915-3917 (1994). MSC: 35Q53 58J70 PDFBibTeX XMLCite \textit{Q. P. Liu}, J. Phys. A, Math. Gen. 27, No. 11, 3915--3917 (1994; Zbl 0843.35107) Full Text: DOI
Conte, Robert; Musette, Micheline; Pickering, Andrew Factorization of the ‘classical Boussinesq’ system. (English) Zbl 0837.35121 J. Phys. A, Math. Gen. 27, No. 8, 2831-2836 (1994). MSC: 35Q35 35Q53 35Q51 PDFBibTeX XMLCite \textit{R. Conte} et al., J. Phys. A, Math. Gen. 27, No. 8, 2831--2836 (1994; Zbl 0837.35121) Full Text: DOI
Leblond, H.; Manna, M. Coalescence of electromagnetic travelling waves in a saturated ferrite. (English) Zbl 0809.35132 J. Phys. A, Math. Gen. 26, No. 22, 6451-6468 (1993). MSC: 35Q60 78A25 82D45 PDFBibTeX XMLCite \textit{H. Leblond} and \textit{M. Manna}, J. Phys. A, Math. Gen. 26, No. 22, 6451--6468 (1993; Zbl 0809.35132) Full Text: DOI
Qiao, Zhijun A Bargmann system and the involutive representation of solutions of the Levi hierarchy. (English) Zbl 0802.35135 J. Phys. A, Math. Gen. 26, No. 17, 4407-4417 (1993). MSC: 35Q53 35Q58 37J35 37K10 PDFBibTeX XMLCite \textit{Z. Qiao}, J. Phys. A, Math. Gen. 26, No. 17, 4407--4417 (1993; Zbl 0802.35135) Full Text: DOI Link
Pucci, E. Similarity reductions of partial differential equations. (English) Zbl 0754.35148 J. Phys. A, Math. Gen. 25, No. 9, 2631-2640 (1992). MSC: 35Q53 58J70 PDFBibTeX XMLCite \textit{E. Pucci}, J. Phys. A, Math. Gen. 25, No. 9, 2631--2640 (1992; Zbl 0754.35148) Full Text: DOI
Sakovich, S. Yu. On special Bäcklund autotransformations. (English) Zbl 0727.58051 J. Phys. A, Math. Gen. 24, No. 2, 401-405 (1991). Reviewer: N.Jacob (Erlangen) MSC: 58J72 35Q53 35A22 PDFBibTeX XMLCite \textit{S. Yu. Sakovich}, J. Phys. A, Math. Gen. 24, No. 2, 401--405 (1991; Zbl 0727.58051) Full Text: DOI
Blender, Richard Iterative solution of nonlinear partial differential equations. (English) Zbl 0742.35052 J. Phys. A, Math. Gen. 24, No. 10, L509-L512 (1991). MSC: 35Q53 35A35 PDFBibTeX XMLCite \textit{R. Blender}, J. Phys. A, Math. Gen. 24, No. 10, L509--L512 (1991; Zbl 0742.35052) Full Text: DOI
Webb, G. M. Lie symmetries of a coupled nonlinear Burgers-heat equation system. (English) Zbl 0726.35116 J. Phys. A, Math. Gen. 23, No. 17, 3885-3894 (1990). Reviewer: G.M.Webb MSC: 35Q53 17B99 35K05 PDFBibTeX XMLCite \textit{G. M. Webb}, J. Phys. A, Math. Gen. 23, No. 17, 3885--3894 (1990; Zbl 0726.35116) Full Text: DOI
Estévez, P. G.; Gordoa, P. R. Painlevé analysis of the generalized Burgers-Huxley equation. (English) Zbl 0722.35083 J. Phys. A, Math. Gen. 23, No. 21, 4831-4837 (1990). MSC: 35Q53 PDFBibTeX XMLCite \textit{P. G. Estévez} and \textit{P. R. Gordoa}, J. Phys. A, Math. Gen. 23, No. 21, 4831--4837 (1990; Zbl 0722.35083) Full Text: DOI
Webb, G. M.; Zank, G. P. Painlevé analysis of the two-dimensional Burgers equation. (English) Zbl 0719.35090 J. Phys. A, Math. Gen. 23, No. 23, 5465-5477 (1990). MSC: 35Q53 PDFBibTeX XMLCite \textit{G. M. Webb} and \textit{G. P. Zank}, J. Phys. A, Math. Gen. 23, No. 23, 5465--5477 (1990; Zbl 0719.35090) Full Text: DOI
Wang, X. Y.; Zhu, Z. S.; Lu, Y. K. Solitary wave solutions of the generalised Burgers-Huxley equation. (English) Zbl 0708.35079 J. Phys. A, Math. Gen. 23, No. 3, 271-274 (1990). MSC: 35Q53 35Q51 35A22 PDFBibTeX XMLCite \textit{X. Y. Wang} et al., J. Phys. A, Math. Gen. 23, No. 3, 271--274 (1990; Zbl 0708.35079) Full Text: DOI
Sun, Tao New symmetries and their Lie algebra properties for the Burgers equations. (English) Zbl 0711.35115 J. Phys. A, Math. Gen. 22, No. 18, 3737-3742 (1989). MSC: 35Q53 17B99 PDFBibTeX XMLCite \textit{T. Sun}, J. Phys. A, Math. Gen. 22, No. 18, 3737--3742 (1989; Zbl 0711.35115) Full Text: DOI
Sakovich, S. Yu. On the Thomas equation. (English) Zbl 0686.35101 J. Phys. A, Math. Gen. 21, No. 23, L1123-L1126 (1988). MSC: 35Q99 PDFBibTeX XMLCite \textit{S. Yu. Sakovich}, J. Phys. A, Math. Gen. 21, No. 23, L1123--L1126 (1988; Zbl 0686.35101) Full Text: DOI
Shu, Jianjun The proper analytical solution of the Korteweg-de Vries-Burgers equation. (English) Zbl 0663.35091 J. Phys. A 20, L49-L56 (1987). MSC: 35Q99 35B40 35A20 PDFBibTeX XMLCite \textit{J. Shu}, J. Phys. A, Math. Gen. 20, L49--L56 (1987; Zbl 0663.35091) Full Text: arXiv
Kamp, L. P. J. Local frequency spectra for nonlinear wave equations. (English) Zbl 0636.35076 J. Phys. A 20, 3279-3291 (1987). MSC: 35Q99 35G20 35B40 35B05 PDFBibTeX XMLCite \textit{L. P. J. Kamp}, J. Phys. A, Math. Gen. 20, 3279--3291 (1987; Zbl 0636.35076) Full Text: DOI
Barker, G. C.; Grimson, M. J. A solitary wave model for sedimentation in colloidal suspensions. (English) Zbl 0627.76114 J. Phys. A 20, 305-312 (1987). MSC: 76T99 35Q99 PDFBibTeX XMLCite \textit{G. C. Barker} and \textit{M. J. Grimson}, J. Phys. A, Math. Gen. 20, 305--312 (1987; Zbl 0627.76114) Full Text: DOI
Benilov, E. S.; Burtsev, S. P. Perturbation theory for two-dimensional solitons. (English) Zbl 0613.35074 J. Phys. A 19, L177-L179 (1986). Reviewer: R.Picard MSC: 35Q99 35B20 35R30 35P25 PDFBibTeX XMLCite \textit{E. S. Benilov} and \textit{S. P. Burtsev}, J. Phys. A, Math. Gen. 19, L177--L179 (1986; Zbl 0613.35074) Full Text: DOI
Levi, D.; Popowicz, Z. On strong and weak Bäcklund transformations. (English) Zbl 0586.35019 J. Phys. A 18, 215-219 (1985). MSC: 35G20 35A22 35P05 47J10 PDFBibTeX XMLCite \textit{D. Levi} and \textit{Z. Popowicz}, J. Phys. A, Math. Gen. 18, 215--219 (1985; Zbl 0586.35019) Full Text: DOI
Cullen, John J.; Reid, James L. Lie-Bäcklund groups and the linearisation of differential equations. (English) Zbl 0536.35066 J. Phys. A. 16, 1889-1909 (1983). MSC: 35Q99 35A30 22E70 PDFBibTeX XMLCite \textit{J. J. Cullen} and \textit{J. L. Reid}, J. Phys. A, Math. Gen. 16, 1889--1909 (1983; Zbl 0536.35066) Full Text: DOI
Hlavaty, Ladislav; Wolf, Kurt Bernardo; Steinberg, Stanly Integral and Bäcklund transforms within symmetry groups of certain families of nonlinear differential equations. (English) Zbl 0524.35008 J. Phys. A 16, 2917-2922 (1983). MSC: 35A22 35Q99 22E05 35A30 PDFBibTeX XMLCite \textit{L. Hlavaty} et al., J. Phys. A, Math. Gen. 16, 2917--2922 (1983; Zbl 0524.35008) Full Text: DOI
Caldwell, J.; Wanless, P. A Fourier series approach to Burgers’ equation. (English) Zbl 0455.65083 J. Phys. A 14, 1029-1037 (1981). MSC: 65Z05 35Q99 65N40 PDFBibTeX XMLCite \textit{J. Caldwell} and \textit{P. Wanless}, J. Phys. A, Math. Gen. 14, 1029--1037 (1981; Zbl 0455.65083) Full Text: DOI