Gao, Peng Stratonovich-Khasminskii averaging principle for multiscale random Korteweg-de Vries-Burgers equation. (English) Zbl 07778903 Nonlinearity 36, No. 11, 6124-6151 (2023). MSC: 35R60 35Q53 70K65 PDFBibTeX XMLCite \textit{P. Gao}, Nonlinearity 36, No. 11, 6124--6151 (2023; Zbl 07778903) Full Text: DOI
Wang, Jundong; Zhang, Lijun; Kalique, Chaudry Masood Existence of traveling wave solutions for a generalized Burgers-Fisher equation with weak convection. (English) Zbl 1524.35113 Wave Motion 115, Article ID 103070, 6 p. (2022). MSC: 35C07 35Q53 70H05 PDFBibTeX XMLCite \textit{J. Wang} et al., Wave Motion 115, Article ID 103070, 6 p. (2022; Zbl 1524.35113) Full Text: DOI
Wang, Yan; Xu, Li; Wang, Yu-Jin; Liu, Jian-Gen Lie group analysis of fractal differential-difference equations. (English) Zbl 1490.39010 Fractals 29, No. 7, Article ID 2150197, 7 p. (2021). MSC: 39A13 39A14 34K04 35B06 35R11 35Q51 34A08 26A33 70G65 PDFBibTeX XMLCite \textit{Y. Wang} et al., Fractals 29, No. 7, Article ID 2150197, 7 p. (2021; Zbl 1490.39010) Full Text: DOI
James, Guillaume Traveling fronts in dissipative granular chains and nonlinear lattices. (English) Zbl 1462.37084 Nonlinearity 34, No. 3, 1758-1790 (2021). MSC: 37L60 37K60 35C07 70K44 74M20 74J30 49M15 PDFBibTeX XMLCite \textit{G. James}, Nonlinearity 34, No. 3, 1758--1790 (2021; Zbl 1462.37084) Full Text: DOI HAL
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
Zhou, Yuqian; Liu, Qian Reduction and bifurcation of traveling waves of the KdV-Burgers-Kuramoto equation. (English) Zbl 1366.37137 Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 2057-2071 (2016). MSC: 37K50 76M60 35Q53 70G65 37K45 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{Q. Liu}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 6, 2057--2071 (2016; Zbl 1366.37137) Full Text: DOI
Zhuravlev, Viktor Mikhaĭlovich; Obrubov, Konstantin Sergeevich Method of general Cole-Hopf substitutions in theory of finite-dimensional dynamical systems. (Method of general Coule-Hopf substitutions in theory of finite-dimensional dynamical systems.) (Russian. English summary) Zbl 1449.70010 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 83-89 (2011). MSC: 70G60 35Q70 70H06 PDFBibTeX XMLCite \textit{V. M. Zhuravlev} and \textit{K. S. Obrubov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2011, No. 1(22), 83--89 (2011; Zbl 1449.70010) Full Text: DOI MNR
Freire, Igor Leite Conservation laws for self-adjoint first-order evolution equation. (English) Zbl 1219.35228 J. Nonlinear Math. Phys. 18, No. 2, 279-290 (2011). MSC: 35Q53 76M60 58J70 70G65 PDFBibTeX XMLCite \textit{I. L. Freire}, J. Nonlinear Math. Phys. 18, No. 2, 279--290 (2011; Zbl 1219.35228) Full Text: DOI arXiv
Ibragimov, N. H.; Torrisi, M.; Tracinà, R. Self-adjointness and conservation laws of a generalized Burgers equation. (English) Zbl 1216.35115 J. Phys. A, Math. Theor. 44, No. 14, Article ID 145201, 5 p. (2011). MSC: 35Q53 45K05 70H33 37K05 37K10 PDFBibTeX XMLCite \textit{N. H. Ibragimov} et al., J. Phys. A, Math. Theor. 44, No. 14, Article ID 145201, 5 p. (2011; Zbl 1216.35115) Full Text: DOI Link
Valageas, Patrick Some statistical properties of the Burgers equation with white-noise initial velocity. (English) Zbl 1192.82053 J. Stat. Phys. 137, No. 4, 729-764 (2009). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C23 70S05 76D05 35Q30 PDFBibTeX XMLCite \textit{P. Valageas}, J. Stat. Phys. 137, No. 4, 729--764 (2009; Zbl 1192.82053) Full Text: DOI arXiv
Ganji, D. D.; Babazadeh, H.; Jalaei, M. H.; Tashakkorian, H. Application of He’s variational iteration method for solving nonlinear BBMB equations and free vibration of systems. (English) Zbl 1166.65389 Acta Appl. Math. 106, No. 3, 359-367 (2009). MSC: 65M99 70J30 PDFBibTeX XMLCite \textit{D. D. Ganji} et al., Acta Appl. Math. 106, No. 3, 359--367 (2009; Zbl 1166.65389) Full Text: DOI
Cardin, F. Fluid dynamical features of the weak KAM theory. (English) Zbl 1284.37054 Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk; 978-981-277-235-0/ebook). 108-117 (2008). MSC: 37K55 35F21 49L25 35Q53 70H20 76D99 PDFBibTeX XMLCite \textit{F. Cardin}, in: Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June -- 6 July 2007. Hackensack, NJ: World Scientific. 108--117 (2008; Zbl 1284.37054) Full Text: DOI
Maccari, Attilio Bifurcation control in the Burgers-KdV equation. (English) Zbl 1187.35219 Phys. Scr. 77, No. 3, Article ID 035003, 5 p. (2008). MSC: 35Q53 70Q05 93B52 37K50 PDFBibTeX XMLCite \textit{A. Maccari}, Phys. Scr. 77, No. 3, Article ID 035003, 5 p. (2008; Zbl 1187.35219) Full Text: DOI
Ibragimov, N. H.; Kolsrud, T. Lagrangian approach to evolution equations: symmetries and conservation laws. (English) Zbl 1106.70012 Nonlinear Dyn. 36, No. 1, 29-40 (2004). Reviewer: Jesús Marín-Solano (Barcelona) MSC: 70H33 70G65 35Q53 35Q55 PDFBibTeX XMLCite \textit{N. H. Ibragimov} and \textit{T. Kolsrud}, Nonlinear Dyn. 36, No. 1, 29--40 (2004; Zbl 1106.70012) Full Text: DOI
Kolev, Boris Lie groups and mechanics: an introduction. (English) Zbl 1069.35070 J. Nonlinear Math. Phys. 11, No. 4, 480-498 (2004). MSC: 35Q53 70G65 37K30 22E70 PDFBibTeX XMLCite \textit{B. Kolev}, J. Nonlinear Math. Phys. 11, No. 4, 480--498 (2004; Zbl 1069.35070) Full Text: DOI arXiv
Logg, Anders Multi-adaptive Galerkin methods for ODEs. II: Implementation and applications. (English) Zbl 1073.65078 SIAM J. Sci. Comput. 25, No. 4, 1119-1141 (2003). Reviewer: Hermann Brunner (St. John’s) MSC: 65L60 65L05 65L50 70F10 34A34 65L70 PDFBibTeX XMLCite \textit{A. Logg}, SIAM J. Sci. Comput. 25, No. 4, 1119--1141 (2003; Zbl 1073.65078) Full Text: DOI arXiv
Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt Reduction and reconstruction for self-similar dynamical systems. (English) Zbl 1066.37036 Nonlinearity 16, No. 4, 1257-1275 (2003). Reviewer: Jesús Marín-Solano (Barcelona) MSC: 37J15 35Q53 65P99 70G65 76M60 PDFBibTeX XMLCite \textit{C. W. Rowley} et al., Nonlinearity 16, No. 4, 1257--1275 (2003; Zbl 1066.37036) Full Text: DOI Link
Viet Ha Hoang; Khanin, Konstantin Random Burgers equation and Lagrangian systems in non-compact domains. (English) Zbl 1038.35101 Nonlinearity 16, No. 3, 819-842 (2003). Reviewer: Jan Seidler (Praha) MSC: 35Q53 35Q35 70H20 PDFBibTeX XMLCite \textit{Viet Ha Hoang} and \textit{K. Khanin}, Nonlinearity 16, No. 3, 819--842 (2003; Zbl 1038.35101) 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
Prytula, M.; Hentosh, O. The Hamiltonian nonlocal invariant reduction of a Burgers equation and its Lie-algebraic structure. (English) Zbl 1003.70015 ZAMM, Z. Angew. Math. Mech. 81, Suppl. 2, 213-214 (2001). MSC: 70H33 35Q53 PDFBibTeX XMLCite \textit{M. Prytula} and \textit{O. Hentosh}, ZAMM, Z. Angew. Math. Mech. 81, 213--214 (2001; Zbl 1003.70015)
Yan, Zhenya; Zhang, Hongqing A new hierarchy of Lax integrable and Liouville integrable generalized Hamiltonian equations. (Chinese. English summary) Zbl 1017.70010 J. Dalian Univ. Technol. 40, No. 6, 649-652 (2000). MSC: 37K10 35Q58 70H06 70H05 PDFBibTeX XMLCite \textit{Z. Yan} and \textit{H. Zhang}, J. Dalian Univ. Technol. 40, No. 6, 649--652 (2000; Zbl 1017.70010)
Leonenko, N. N.; Mel’nikova, O. O. Renormalization and homogenization of solutions of the inhomogeneous heat equation with a linear potential and of the related Burgers equation with random data. (English. Ukrainian original) Zbl 1004.60017 Theory Probab. Math. Stat. 62, 77-88 (2001); translation from Teor. Jmovirn. Mat. Stat. 62, 72-82 (2000). Reviewer: A.V.Swishchuk (Kyïv) MSC: 60F05 70L05 35Q53 60G15 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{O. O. Mel'nikova}, Teor. Ĭmovirn. Mat. Stat. 62, 72--82 (2000; Zbl 1004.60017); translation from Teor. Jmovirn. Mat. Stat. 62, 72--82 (2000)
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
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in \(\mathbb{R}^d\). (English) Zbl 0895.60066 Ann. Appl. Probab. 7, No. 1, 200-228 (1997). MSC: 60H15 60G60 60K40 70K40 76L05 83F05 35Q53 PDFBibTeX XMLCite \textit{S. A. Molchanov} et al., Ann. Appl. Probab. 7, No. 1, 200--228 (1997; Zbl 0895.60066) Full Text: DOI
Surgailis, Donatas; Woyczynski, Wojbor A. Burgers’ equation with non-local shot noise data. (English) Zbl 0804.60049 J. Appl. Probab. 31A, Spec. Vol., 351-362 (1994). MSC: 60H15 70L05 PDFBibTeX XMLCite \textit{D. Surgailis} and \textit{W. A. Woyczynski}, J. Appl. Probab. 31A, 351--362 (1994; Zbl 0804.60049) Full Text: DOI
Brio, M.; Temple-Raston, M. Regularizations of the inviscid Burgers equation. (English) Zbl 0744.76028 Viscous profiles and numerical methods for shock waves, Proc. Workshop, Raleigh/ NC (USA) 1990, 12-20 (1991). MSC: 76B15 35Q53 70F05 PDFBibTeX XMLCite \textit{M. Brio} and \textit{M. Temple-Raston}, in: Viscous profiles and numerical methods for shock waves. Proceedings of a workshop, held at North Carolina State University, Raleigh, NC, USA, May 23-25, 1990. Philadelphia, PA: SIAM. 12--20 (1991; Zbl 0744.76028)
Savchin, V. M. Mathematical methods in the mechanics of infinite-dimensional nonpotential systems. (Matematicheskie metody mekhaniki beskonechnomernykh nepotentsial’nykh sistem.) (Russian) Zbl 0925.70160 Moskva: Universitet Druzhby Narodov. 236 p. (1991). MSC: 70H05 70-01 37J99 35Q53 49S05 37J35 37K10 70G99 PDFBibTeX XMLCite \textit{V. M. Savchin}, Matematicheskie metody mekhaniki beskonechnomernykh nepotentsial'nykh sistem (Russian). Moskva: Universitet Druzhby Narodov (1991; Zbl 0925.70160)
Steeb, W.-H.; Euler, N. Nonlinear evolution equations and Painlevé test. (English) Zbl 0723.34001 Singapore etc.: World Scientific. ix, 333 p. £54.00 (1988). Reviewer: C.Popa (Iaşi) MSC: 34-02 34A05 34A25 35Q53 35Q55 35Q58 34L40 34A35 70H99 34M55 35A25 35A20 35-02 PDFBibTeX XMLCite \textit{W. H. Steeb} and \textit{N. Euler}, Nonlinear evolution equations and Painlevé test. Singapore etc.: World Scientific (1988; Zbl 0723.34001)
Sznitman, A. S. A propagation of chaos result for Burgers’ equation. (English) Zbl 0597.60055 Probab. Theory Relat. Fields 71, 581-613 (1986). Reviewer: A.Ya.Dorogovtsev MSC: 60H10 60J55 34F05 70L05 PDFBibTeX XMLCite \textit{A. S. Sznitman}, Probab. Theory Relat. Fields 71, 581--613 (1986; Zbl 0597.60055) Full Text: DOI
Chudnovsky, D. V. One class of meromorphic solutions of general two-dimensional nonlinear equations, connected with the algebraic inverse scattering method. (English) Zbl 0435.35061 Proc. Natl. Acad. Sci. USA 75, 4082-4084 (1978). MSC: 35P25 35Q99 70F10 81Q10 PDFBibTeX XMLCite \textit{D. V. Chudnovsky}, Proc. Natl. Acad. Sci. USA 75, 4082--4084 (1978; Zbl 0435.35061) Full Text: DOI