Wang, Libin; Zhang, Yutao Exact boundary controllability of nodal profile for nonautonomous quasilinear hyperbolic systems. (English) Zbl 07797273 J. Dyn. Control Syst. 30, No. 1, Paper No. 6, 18 p. (2024). MSC: 35L50 35L60 37B55 93B05 93C20 PDFBibTeX XMLCite \textit{L. Wang} and \textit{Y. Zhang}, J. Dyn. Control Syst. 30, No. 1, Paper No. 6, 18 p. (2024; Zbl 07797273) Full Text: DOI
Congy, T.; El, G. A.; Roberti, G.; Tovbis, A. Dispersive hydrodynamics of soliton condensates for the Korteweg-de Vries equation. (English) Zbl 1527.35347 J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023). MSC: 35Q53 35Q35 35C08 35R09 37K10 37K15 37K35 37K40 35L60 76L05 76P05 82C40 82D05 35R60 PDFBibTeX XMLCite \textit{T. Congy} et al., J. Nonlinear Sci. 33, No. 6, Paper No. 104, 45 p. (2023; Zbl 1527.35347) Full Text: DOI arXiv OA License
Wang, Ke; Wang, Libin Exact boundary controllability of nodal profile for quasilinear hyperbolic systems and its asymptotic stability. (English) Zbl 1511.35237 SIAM J. Control Optim. 61, No. 1, 1-21 (2023). MSC: 35L50 35L60 37B55 93B05 93D20 PDFBibTeX XMLCite \textit{K. Wang} and \textit{L. Wang}, SIAM J. Control Optim. 61, No. 1, 1--21 (2023; Zbl 1511.35237) Full Text: DOI
Liljegren-Sailer, Björn; Marheineke, Nicole On port-Hamiltonian approximation of a nonlinear flow problem on networks. (English) Zbl 07556264 SIAM J. Sci. Comput. 44, No. 3, B834-B859 (2022). MSC: 65-XX 35L60 37L65 35R02 76Nxx PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Sci. Comput. 44, No. 3, B834--B859 (2022; Zbl 07556264) Full Text: DOI arXiv
Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 1498.65143 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M08 65M60 65K10 65Y05 49M41 35B05 35L60 35L65 35Q31 35Q62 37L65 76B10 35R60 PDFBibTeX XMLCite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 1498.65143) Full Text: DOI arXiv
Su, Qiuyi; Ruan, Shigui Periodic solutions of partial functional differential equations. (English) Zbl 1467.35028 Proc. Am. Math. Soc., Ser. B 8, 145-157 (2021). MSC: 35B10 35K57 35K90 35L60 35Q92 35R10 37L05 47D06 47J35 PDFBibTeX XMLCite \textit{Q. Su} and \textit{S. Ruan}, Proc. Am. Math. Soc., Ser. B 8, 145--157 (2021; Zbl 1467.35028) Full Text: DOI
Schlachter, Louisa; Totzeck, Claudia Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin scheme. (English) Zbl 1528.65082 Commun. Comput. Phys. 28, No. 4, 1585-1608 (2020). MSC: 65M60 65M06 65L06 65N30 65M08 65D32 62C10 35L60 37L65 49K45 93E12 35Q62 35R60 PDFBibTeX XMLCite \textit{L. Schlachter} and \textit{C. Totzeck}, Commun. Comput. Phys. 28, No. 4, 1585--1608 (2020; Zbl 1528.65082) Full Text: DOI arXiv
Ivey, Thomas A. Isometric immersions of surfaces: classical approaches and integrability. (English) Zbl 1475.37076 Van der Veken, Joeri (ed.) et al., Geometry of submanifolds. AMS special session in honor of Bang-Yen Chen’s 75th birthday, University of Michigan, Ann Arbor, Michigan, October 20–21, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 756, 141-154 (2020). Reviewer: Bo Liu (Bures-sur-Yvette) MSC: 37K25 37K35 35H30 35L60 58A15 58J60 58J72 PDFBibTeX XMLCite \textit{T. A. Ivey}, Contemp. Math. 756, 141--154 (2020; Zbl 1475.37076) Full Text: DOI arXiv
Su, Qiuyi; Ruan, Shigui Existence of periodic solutions in abstract semilinear equations and applications to biological models. (English) Zbl 1450.35026 J. Differ. Equations 269, No. 12, 11020-11061 (2020). MSC: 35B10 35K90 35L90 35L60 35Q92 37L05 47J35 47D06 PDFBibTeX XMLCite \textit{Q. Su} and \textit{S. Ruan}, J. Differ. Equations 269, No. 12, 11020--11061 (2020; Zbl 1450.35026) Full Text: DOI
Dürrwächter, Jakob; Kuhn, Thomas; Meyer, Fabian; Schlachter, Louisa; Schneider, Florian A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations. (English) Zbl 1450.65118 J. Comput. Appl. Math. 370, Article ID 112602, 22 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 35L60 35Q31 76N06 35Q62 37L65 65C30 65M70 PDFBibTeX XMLCite \textit{J. Dürrwächter} et al., J. Comput. Appl. Math. 370, Article ID 112602, 22 p. (2020; Zbl 1450.65118) Full Text: DOI arXiv
Kahouadji, Nabil; Kamran, Niky; Tenenblat, Keti Local isometric immersions of pseudo-spherical surfaces and \(k\)th order evolution equations. (English) Zbl 1414.35125 Commun. Contemp. Math. 21, No. 4, Article ID 1850025, 21 p. (2019). MSC: 35L60 37K25 47J35 53B10 53B25 PDFBibTeX XMLCite \textit{N. Kahouadji} et al., Commun. Contemp. Math. 21, No. 4, Article ID 1850025, 21 p. (2019; Zbl 1414.35125) Full Text: DOI arXiv
Gao, Binfang; Tian, Kai; Liu, Q. P.; Feng, Lujuan Conservation laws of the generalized Riemann equations. (English) Zbl 1420.35158 J. Nonlinear Math. Phys. 25, No. 1, 122-135 (2018). MSC: 35L65 35L60 37K05 PDFBibTeX XMLCite \textit{B. Gao} et al., J. Nonlinear Math. Phys. 25, No. 1, 122--135 (2018; Zbl 1420.35158) Full Text: DOI arXiv
Kwon, Young-Sam; Woo, Gyungsoo Relative entropy and \(L^2\) stability to a shock for scalar balance laws. (English) Zbl 1488.35354 Filomat 31, No. 3, 823-830 (2017). MSC: 35L65 35B35 35L60 35L67 37K06 PDFBibTeX XMLCite \textit{Y.-S. Kwon} and \textit{G. Woo}, Filomat 31, No. 3, 823--830 (2017; Zbl 1488.35354) Full Text: DOI
Gallay, Thierry; Texier, Benjamin; Zumbrun, Kevin On nonlinear stabilization of linearly unstable maps. (English) Zbl 1386.37023 J. Nonlinear Sci. 27, No. 5, 1641-1666 (2017). MSC: 37C75 35L60 47B15 PDFBibTeX XMLCite \textit{T. Gallay} et al., J. Nonlinear Sci. 27, No. 5, 1641--1666 (2017; Zbl 1386.37023) Full Text: DOI arXiv
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel Nonlinear damped partial differential equations and their uniform discretizations. (English) Zbl 1364.37155 J. Funct. Anal. 273, No. 1, 352-403 (2017). MSC: 37L15 93D15 35B35 35L60 35L70 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., J. Funct. Anal. 273, No. 1, 352--403 (2017; Zbl 1364.37155) Full Text: DOI arXiv
Caravenna, Laura Regularity estimates for continuous solutions of \(\alpha\)-convex balance laws. (English) Zbl 1364.35056 Commun. Pure Appl. Anal. 16, No. 2, 629-644 (2017). MSC: 35B65 35L60 35L65 37C10 58J45 PDFBibTeX XMLCite \textit{L. Caravenna}, Commun. Pure Appl. Anal. 16, No. 2, 629--644 (2017; Zbl 1364.35056) Full Text: DOI
Hashimoto, Itsuko Behavior of solutions for radially symmetric solutions for Burgers equation with a boundary corresponding to the rarefaction wave. (English) Zbl 1350.35030 Osaka J. Math. 53, No. 3, 799-811 (2016). MSC: 35B40 35L60 37K40 35K58 35K20 PDFBibTeX XMLCite \textit{I. Hashimoto}, Osaka J. Math. 53, No. 3, 799--811 (2016; Zbl 1350.35030) Full Text: Euclid
Alberti, G.; Bianchini, S.; Caravenna, L. Eulerian, Lagrangian and Broad continuous solutions to a balance law with non-convex flux. I. (English) Zbl 1368.35176 J. Differ. Equations 261, No. 8, 4298-4337 (2016). MSC: 35L65 35L60 35L45 37C10 58J45 PDFBibTeX XMLCite \textit{G. Alberti} et al., J. Differ. Equations 261, No. 8, 4298--4337 (2016; Zbl 1368.35176) Full Text: DOI arXiv
Kahouadji, Nabil; Kamran, Niky; Tenenblat, Keti Second-order equations and local isometric immersions of pseudo-spherical surfaces. (English) Zbl 1347.35085 Commun. Anal. Geom. 24, No. 3, 605-643 (2016). MSC: 35G25 35L60 37K25 47J35 53B10 53B25 58A20 PDFBibTeX XMLCite \textit{N. Kahouadji} et al., Commun. Anal. Geom. 24, No. 3, 605--643 (2016; Zbl 1347.35085) Full Text: DOI arXiv
Xu, Jian; Shao, Sihong; Tang, Huazhong; Wei, Dongyi Multi-hump solitary waves of a nonlinear Dirac equation. (English) Zbl 1327.81192 Commun. Math. Sci. 13, No. 5, 1219-1242 (2015). MSC: 81Q05 37K40 35Q51 35L60 PDFBibTeX XMLCite \textit{J. Xu} et al., Commun. Math. Sci. 13, No. 5, 1219--1242 (2015; Zbl 1327.81192) Full Text: DOI arXiv
Ikehata, Ryo Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations. arXiv:1506.04858 Preprint, arXiv:1506.04858 [math.AP] (2015). MSC: 35L60 37L15 35L70 35B40 BibTeX Cite \textit{R. Ikehata}, ``Revisit on How to Derive Asymptotic Profiles to Some Evolution Equations'', Preprint, arXiv:1506.04858 [math.AP] (2015) Full Text: arXiv OA License
Buono, Pietro-Luciano; Eftimie, Raluca Codimension-two bifurcations in animal aggregation models with symmetry. (English) Zbl 1328.37048 SIAM J. Appl. Dyn. Syst. 13, No. 4, 1542-1582 (2014). Reviewer: Paul Georgescu (Iaşi) MSC: 37G40 37L10 35L60 92D50 37N25 PDFBibTeX XMLCite \textit{P.-L. Buono} and \textit{R. Eftimie}, SIAM J. Appl. Dyn. Syst. 13, No. 4, 1542--1582 (2014; Zbl 1328.37048) Full Text: DOI Link
Germain, Pierre; Masmoudi, Nader Global existence for the Euler-Maxwell system. (Existence globale pour le système d’Euler-Maxwell.) (English. French summary) Zbl 1311.35195 Ann. Sci. Éc. Norm. Supér. (4) 47, No. 3, 469-503 (2014). Reviewer: Laurent Thomann (Nantes) MSC: 35Q31 35L03 35L60 35Q60 37L50 PDFBibTeX XMLCite \textit{P. Germain} and \textit{N. Masmoudi}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 3, 469--503 (2014; Zbl 1311.35195) Full Text: DOI arXiv Link
Ducrot, Arnaud; Magal, Pierre Asymptotic behavior of a nonlocal diffusive logistic equation. (English) Zbl 1309.37081 SIAM J. Math. Anal. 46, No. 3, 1731-1753 (2014). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N25 35L60 34D05 34G20 PDFBibTeX XMLCite \textit{A. Ducrot} and \textit{P. Magal}, SIAM J. Math. Anal. 46, No. 3, 1731--1753 (2014; Zbl 1309.37081) Full Text: DOI
Hashimoto, Itsuko Asymptotic behavior of radially symmetric solutions for the Burgers equation in several space dimensions. (English) Zbl 1295.35090 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 43-58 (2014). MSC: 35B40 35L60 37K40 35B07 PDFBibTeX XMLCite \textit{I. Hashimoto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 100, 43--58 (2014; Zbl 1295.35090) Full Text: DOI
Grover, James P.; Hsu, Sze-Bi; Wang, Feng-Bin Competition between microorganisms for a single limiting resource with cell quota structure and spatial variation. (English) Zbl 1252.37020 J. Math. Biol. 64, No. 5, 713-743 (2012). MSC: 37C65 92D25 35L60 35L50 PDFBibTeX XMLCite \textit{J. P. Grover} et al., J. Math. Biol. 64, No. 5, 713--743 (2012; Zbl 1252.37020) Full Text: DOI
Li, Yu-Qing; Xu, Xi-Xiang A hierarchy of Liouville integrable lattice equation associated with a three-by-three discrete spectral problem and its infinitely many conservation laws. (English) Zbl 1333.37108 Int. J. Mod. Phys. B 25, No. 18, 2481-2492 (2011). MSC: 37K10 37K05 35Q51 35L60 PDFBibTeX XMLCite \textit{Y.-Q. Li} and \textit{X.-X. Xu}, Int. J. Mod. Phys. B 25, No. 18, 2481--2492 (2011; Zbl 1333.37108) Full Text: DOI
Maslov, V. P.; Shafarevich, A. I. Application of the canonical operator to the description of self-focusing soliton-like solutions of the Kadomtsev-Petviashvili equation. (English) Zbl 1326.35321 Russ. J. Math. Phys. 18, No. 4, 505-507 (2011). MSC: 35Q53 35C08 35C20 35S05 35L60 37K40 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{A. I. Shafarevich}, Russ. J. Math. Phys. 18, No. 4, 505--507 (2011; Zbl 1326.35321) Full Text: DOI
El, G. A.; Kamchatnov, A. M.; Pavlov, M. V.; Zykov, S. A. Kinetic equation for a soliton gas and Its hydrodynamic reductions. (English) Zbl 1252.37056 J. Nonlinear Sci. 21, No. 2, 151-191 (2011). MSC: 37K10 37K40 35L60 PDFBibTeX XMLCite \textit{G. A. El} et al., J. Nonlinear Sci. 21, No. 2, 151--191 (2011; Zbl 1252.37056) Full Text: DOI arXiv Link
Reynolds, A. P.; Bogoyavlenskij, O. I. Lie algebra structures for four-component Hamiltonian hydrodynamic type systems. (English) Zbl 1228.35139 J. Geom. Phys. 61, No. 12, 2400-2409 (2011). MSC: 35L60 37K05 PDFBibTeX XMLCite \textit{A. P. Reynolds} and \textit{O. I. Bogoyavlenskij}, J. Geom. Phys. 61, No. 12, 2400--2409 (2011; Zbl 1228.35139) Full Text: DOI
Ferapontov, Evgeny V.; Khusnutdinova, Karima R.; Klein, Christian On linear degeneracy of integrable quasilinear systems in higher dimensions. (English) Zbl 1217.35114 Lett. Math. Phys. 96, No. 1-3, 5-35 (2011). MSC: 35L60 35L65 37K10 35L45 PDFBibTeX XMLCite \textit{E. V. Ferapontov} et al., Lett. Math. Phys. 96, No. 1--3, 5--35 (2011; Zbl 1217.35114) Full Text: DOI arXiv
Giannoulis, Johannes Interaction of modulated pulses in scalar multidimensional nonlinear lattices. (English) Zbl 1193.37099 Appl. Anal. 89, No. 9, 1413-1445 (2010). MSC: 37K60 34E13 34C20 70F45 70K70 35L45 35L60 PDFBibTeX XMLCite \textit{J. Giannoulis}, Appl. Anal. 89, No. 9, 1413--1445 (2010; Zbl 1193.37099) Full Text: DOI arXiv
Anco, Stephen C.; Asadi, Esmaeel Quaternionic soliton equations from Hamiltonian curve flows in \(\mathbb{HP}^n \). (English) Zbl 1208.37039 J. Phys. A, Math. Theor. 42, No. 48, Article ID 485201, 25 p. (2009). Reviewer: Paul Popescu (Craiova) MSC: 37K10 35Q51 35Q53 35Q55 37K05 37K25 37K40 53C35 53C21 35L60 35A30 PDFBibTeX XMLCite \textit{S. C. Anco} and \textit{E. Asadi}, J. Phys. A, Math. Theor. 42, No. 48, Article ID 485201, 25 p. (2009; Zbl 1208.37039) Full Text: DOI arXiv
Eftimie, R.; de Vries, G.; Lewis, M. A. Weakly nonlinear analysis of a hyperbolic model for animal group formation. (English) Zbl 1204.92071 J. Math. Biol. 59, No. 1, 37-74 (2009). MSC: 92D50 35L60 37N25 35Q92 92C15 PDFBibTeX XMLCite \textit{R. Eftimie} et al., J. Math. Biol. 59, No. 1, 37--74 (2009; Zbl 1204.92071) Full Text: DOI
Abenda, Simonetta Reciprocal transformations and local Hamiltonian structures of hydrodynamic-type systems. (English) Zbl 1158.37024 J. Phys. A, Math. Theor. 42, No. 9, Article ID 095208, 20 p. (2009). MSC: 37K05 37K25 35F20 35L60 PDFBibTeX XMLCite \textit{S. Abenda}, J. Phys. A, Math. Theor. 42, No. 9, Article ID 095208, 20 p. (2009; Zbl 1158.37024) Full Text: DOI arXiv
Ueno, Toshihide; Okada, Masami Non-separable splines and numerical computation of evolution equations by the Galerkin methods. (English) Zbl 1159.65082 J. Comput. Appl. Math. 223, No. 1, 159-176 (2009). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65M20 65M70 37K10 35Q53 65M60 65L06 35K55 35L60 PDFBibTeX XMLCite \textit{T. Ueno} and \textit{M. Okada}, J. Comput. Appl. Math. 223, No. 1, 159--176 (2009; Zbl 1159.65082) Full Text: DOI
Ibragimov, Ranis N.; Pelinovsky, Dmitry E. Three-dimensional gravity waves in a channel of variable depth. (English) Zbl 1221.76045 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2104-2113 (2008). MSC: 76B15 35L60 35Q35 37K05 PDFBibTeX XMLCite \textit{R. N. Ibragimov} and \textit{D. E. Pelinovsky}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2104--2113 (2008; Zbl 1221.76045) Full Text: DOI
Gao, Yixian; Lü, Xianrui; Wu, Dongxu KAM tori for 1-D wave equations. (Chinese. English summary) Zbl 1199.35216 J. Jilin Univ., Sci. 46, No. 5, 845-848 (2008). MSC: 35L60 37K55 PDFBibTeX XMLCite \textit{Y. Gao} et al., J. Jilin Univ., Sci. 46, No. 5, 845--848 (2008; Zbl 1199.35216)
Hong, Jialin; Sun, Yajuan Generating functions of multi-symplectic RK methods via DW Hamilton-Jacobi equations. (English) Zbl 1158.65085 Numer. Math. 110, No. 4, 491-519 (2008). Reviewer: Fernando Casas (Castellon) MSC: 65P10 65M06 70H20 37M15 37K05 65L06 35L60 PDFBibTeX XMLCite \textit{J. Hong} and \textit{Y. Sun}, Numer. Math. 110, No. 4, 491--519 (2008; Zbl 1158.65085) Full Text: DOI
Crooks, E. C. M.; Mascia, C. Front speeds in the vanishing diffusion limit for reaction-diffusion-convection equations. (English) Zbl 1212.35294 Differ. Integral Equ. 20, No. 5, 499-514 (2007). MSC: 35L60 35B25 35C07 35K55 37L99 PDFBibTeX XMLCite \textit{E. C. M. Crooks} and \textit{C. Mascia}, Differ. Integral Equ. 20, No. 5, 499--514 (2007; Zbl 1212.35294)
Ye, Shasha Exact boundary controllability and exact boundary observability for first order semilinear hyperbolic systems. (Chinese. English summary) Zbl 1140.35510 Chin. J. Eng. Math. 24, No. 5, 864-878 (2007). MSC: 35L50 37B55 49J20 93B05 93B07 35L60 PDFBibTeX XMLCite \textit{S. Ye}, Chin. J. Eng. Math. 24, No. 5, 864--878 (2007; Zbl 1140.35510)
Ferapontov, E. V.; Marshall, D. G. Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor. (English) Zbl 1145.37034 Math. Ann. 339, No. 1, 61-99 (2007). MSC: 37K10 35L60 37K25 35R20 PDFBibTeX XMLCite \textit{E. V. Ferapontov} and \textit{D. G. Marshall}, Math. Ann. 339, No. 1, 61--99 (2007; Zbl 1145.37034) Full Text: DOI arXiv Link
Abenda, Simonetta; Grava, Tamara Reciprocal transformations and flat metrics on Hurwitz spaces. (English) Zbl 1120.37042 J. Phys. A, Math. Theor. 40, No. 35, 10769-10790 (2007). MSC: 37K05 37K20 35F20 35L60 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{T. Grava}, J. Phys. A, Math. Theor. 40, No. 35, 10769--10790 (2007; Zbl 1120.37042) Full Text: DOI arXiv
Lichtner, Mark; Radziunas, Mindaugas; Recke, Lutz Well-posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics. (English) Zbl 1161.35033 Math. Methods Appl. Sci. 30, No. 8, 931-960 (2007). Reviewer: Thomas Hagen (Memphis) MSC: 35L60 35R05 37D10 37N20 PDFBibTeX XMLCite \textit{M. Lichtner} et al., Math. Methods Appl. Sci. 30, No. 8, 931--960 (2007; Zbl 1161.35033) Full Text: DOI
Kupershmidt, Boris A. Extended equations of long waves. (English) Zbl 1145.37328 Stud. Appl. Math. 116, No. 4, 415-434 (2006). MSC: 37K10 35F20 35L60 35Q35 76B15 PDFBibTeX XMLCite \textit{B. A. Kupershmidt}, Stud. Appl. Math. 116, No. 4, 415--434 (2006; Zbl 1145.37328) Full Text: DOI
Adler, Vsevolod E.; Shabat, Alexey B. On the one class of hyperbolic systems. (English) Zbl 1138.35360 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 093, 17 p. (2006). MSC: 35L60 35Q55 37K10 37K35 35R20 PDFBibTeX XMLCite \textit{V. E. Adler} and \textit{A. B. Shabat}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 093, 17 p. (2006; Zbl 1138.35360) Full Text: DOI arXiv EuDML EMIS
Lichtner, Mark Exponential dichotomy and smooth invariant center manifolds for semilinear hyperbolic systems. (English) Zbl 1113.35329 Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (Dissertation). xi, 183 p. (2006). MSC: 35L60 37L05 37L20 37L10 PDFBibTeX XMLCite \textit{M. Lichtner}, Exponential dichotomy and smooth invariant center manifolds for semilinear hyperbolic systems. Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (Dissertation) (2006; Zbl 1113.35329)
Babin, A.; Figotin, A. Linear superposition in nonlinear wave dynamics. (English) Zbl 1120.82010 Rev. Math. Phys. 18, No. 9, 971-1053 (2006). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C20 35L60 58C15 47J07 35Q53 34C15 37K60 35Q51 35Q60 39A12 PDFBibTeX XMLCite \textit{A. Babin} and \textit{A. Figotin}, Rev. Math. Phys. 18, No. 9, 971--1053 (2006; Zbl 1120.82010) Full Text: DOI arXiv
Benamou, J.-D. A semi-Lagrangian numerical method for geometric optics type problems. (English) Zbl 1105.65117 BIT 46, Suppl., S5-S17 (2006). MSC: 65P10 49L25 70H05 70H20 78A05 37M15 35L60 PDFBibTeX XMLCite \textit{J. D. Benamou}, BIT 46, S5--S17 (2006; Zbl 1105.65117) Full Text: DOI
Chugunova, Marina; Pelinovsky, Dmitry Block-diagonalization of the symmetric first-order coupled-mode system. (English) Zbl 1102.35062 SIAM J. Appl. Dyn. Syst. 5, No. 1, 66-83 (2006). MSC: 35L60 34L16 37K45 34L40 35Q51 PDFBibTeX XMLCite \textit{M. Chugunova} and \textit{D. Pelinovsky}, SIAM J. Appl. Dyn. Syst. 5, No. 1, 66--83 (2006; Zbl 1102.35062) Full Text: DOI arXiv
Leach, P. G. L. ‘Air’ polynomials, Lie point symmetries and a hyperbolic equation. (English) Zbl 1105.37038 J. Phys. A, Math. Gen. 39, No. 18, 5037-5052 (2006). Reviewer: Xianguo Geng (Zhengzhou) MSC: 37K05 35L60 76M60 PDFBibTeX XMLCite \textit{P. G. L. Leach}, J. Phys. A, Math. Gen. 39, No. 18, 5037--5052 (2006; Zbl 1105.37038) Full Text: DOI
Kolesov, A. Yu.; Mishchenko, E. F.; Rozov, N. Kh. Buffer phenomenon in nonlinear physics. (English. Russian original) Zbl 1138.35001 Proc. Steklov Inst. Math. 250, 102-168 (2005); translation from Tr. Mat. Inst. Steklova 250, 112-182 (2005). Reviewer: Lutz Recke (Berlin) MSC: 35-02 35L60 34E05 35B41 35L50 37D45 37L99 PDFBibTeX XMLCite \textit{A. Yu. Kolesov} et al., in: Differential equations and dynamical systems. Collected papers. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 102--168 (2005; Zbl 1138.35001); translation from Tr. Mat. Inst. Steklova 250, 112--182 (2005) Full Text: MNR
Rogers, C.; Schief, W. K. Hidden integrability in subsonic gasdynamics. Reciprocal vortex street generation. (English) Zbl 1211.76097 Int. J. Eng. Sci. 42, No. 17-18, 2065-2078 (2004). MSC: 76N15 37N10 35L60 35Q35 37K10 PDFBibTeX XMLCite \textit{C. Rogers} and \textit{W. K. Schief}, Int. J. Eng. Sci. 42, No. 17--18, 2065--2078 (2004; Zbl 1211.76097) Full Text: DOI
Ferapontov, E. V.; Khusnutdinova, K. R. On the integrability of \((2+1)\)-dimensional quasilinear systems. (English) Zbl 1070.37047 Commun. Math. Phys. 248, No. 1, 187-206 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K10 35F20 35L60 PDFBibTeX XMLCite \textit{E. V. Ferapontov} and \textit{K. R. Khusnutdinova}, Commun. Math. Phys. 248, No. 1, 187--206 (2004; Zbl 1070.37047) Full Text: DOI arXiv Link
Colin, T.; Lannes, D. Justification of and long-wave correction to Davey-Stewartson systems from quadratic hyperbolic systems. (English) Zbl 1062.35126 Discrete Contin. Dyn. Syst. 11, No. 1, 83-100 (2004). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35L60 37C45 PDFBibTeX XMLCite \textit{T. Colin} and \textit{D. Lannes}, Discrete Contin. Dyn. Syst. 11, No. 1, 83--100 (2004; Zbl 1062.35126) Full Text: DOI
Grasselli, Maurizio; Pata, Vittorino Existence of a universal attractor for a fully hyperbolic phase-field system. (English) Zbl 1063.35038 J. Evol. Equ. 4, No. 1, 27-51 (2004). Reviewer: Michal Beneš (Praha) MSC: 35B41 37L30 35L60 80A22 PDFBibTeX XMLCite \textit{M. Grasselli} and \textit{V. Pata}, J. Evol. Equ. 4, No. 1, 27--51 (2004; Zbl 1063.35038)
Ferapontov, E. V.; Khusnutdinova, K. R. The characterization of two-component \((2+1)\)-dimensional integrable systems of hydrodynamic type. (English) Zbl 1040.35042 J. Phys. A, Math. Gen. 37, No. 8, 2949-2963 (2004). MSC: 35L40 37K10 35L60 PDFBibTeX XMLCite \textit{E. V. Ferapontov} and \textit{K. R. Khusnutdinova}, J. Phys. A, Math. Gen. 37, No. 8, 2949--2963 (2004; Zbl 1040.35042) Full Text: DOI arXiv
Härterich, J. Viscous profiles of traveling waves in scalar balance laws: the canard case. (English) Zbl 1077.35084 Methods Appl. Anal. 10, No. 1, 97-117 (2003). Reviewer: Christian Poetzsche (Minneapolis) MSC: 35L60 34E15 35L67 37C29 35L65 35B25 76N15 PDFBibTeX XMLCite \textit{J. Härterich}, Methods Appl. Anal. 10, No. 1, 97--117 (2003; Zbl 1077.35084) Full Text: DOI
Dobrokhotov, S.; Semenov, E.; Tirozzi, B. Hugoniót-Maslov chains for singular vortical solutions to quasilinear hyperbolic systems and typhoon trajectory. (English. Russian original) Zbl 1069.37049 J. Math. Sci., New York 124, No. 5, 5209-5249 (2004); translation from Sovrem. Mat., Fundam. Napravl. 2, 5-44 (2003). MSC: 37K10 35L60 37N10 76B47 86A10 PDFBibTeX XMLCite \textit{S. Dobrokhotov} et al., J. Math. Sci., New York 124, No. 5, 5209--5249 (2003; Zbl 1069.37049); translation from Sovrem. Mat., Fundam. Napravl. 2, 5--44 (2003) Full Text: DOI
Ferapontov, E. V.; Pavlov, M. V. Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems. (English) Zbl 1061.37046 J. Math. Phys. 44, No. 3, 1150-1172 (2003). MSC: 37K05 35F20 35L60 37K35 PDFBibTeX XMLCite \textit{E. V. Ferapontov} and \textit{M. V. Pavlov}, J. Math. Phys. 44, No. 3, 1150--1172 (2003; Zbl 1061.37046) Full Text: DOI arXiv
Mañas, Manuel; Martínez Alonso, Luis; Medina, Elena Reductions and hodograph solutions of the dispersionless KP hierarchy. (English) Zbl 1040.37057 J. Phys. A, Math. Gen. 35, No. 2, 401-417 (2002). MSC: 37K10 35L60 35Q53 76B15 PDFBibTeX XMLCite \textit{M. Mañas} et al., J. Phys. A, Math. Gen. 35, No. 2, 401--417 (2002; Zbl 1040.37057) Full Text: DOI
Jochmann, F.; Recke, L. Well-posedness of an initial boundary value problem from laser dynamics. (English) Zbl 1025.35011 Math. Models Methods Appl. Sci. 12, No. 4, 593-606 (2002). Reviewer: Francisco José Pena Brage (Santiago de Compostela) MSC: 35L60 37N20 35L50 35Q60 78A60 35B30 PDFBibTeX XMLCite \textit{F. Jochmann} and \textit{L. Recke}, Math. Models Methods Appl. Sci. 12, No. 4, 593--606 (2002; Zbl 1025.35011) Full Text: DOI
Vladimirov, V. A.; Skurativskyy, S. I. Investigations of the autowave solutions of a model of structured media with spatial and temporal nonlocality. (English) Zbl 1008.35078 Rep. Math. Phys. 49, No. 2-3, 405-414 (2002). MSC: 35Q72 37D50 35L60 35G20 35Q51 PDFBibTeX XMLCite \textit{V. A. Vladimirov} and \textit{S. I. Skurativskyy}, Rep. Math. Phys. 49, No. 2--3, 405--414 (2002; Zbl 1008.35078) Full Text: DOI
Inaba, Hisashi Nonlinear dynamics of open marine population with space-limited recruitment. (English) Zbl 1047.92505 RIMS Kokyuroku 1216, 23-32 (2001). MSC: 92D40 35Q92 35L60 37N25 PDFBibTeX XMLCite \textit{H. Inaba}, RIMS Kokyuroku 1216, 23--32 (2001; Zbl 1047.92505)
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin Chaotic vibrations of the infinite dimensional harmonic oscillator due to a self-excitation boundary condition. I: Controlled hysteresis. (English) Zbl 1193.35103 Cranny, Tim (ed.) et al., Joint Australian-Taiwanese workshop on analysis and applications, Brisbane, Australia, March 31–April 04, 1997. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5201-6/pbk). Proceedings of the Centre for Mathematics and its Applications, Australian National University 37, 75-82 (1999). MSC: 35L60 74K05 70L05 37D45 PDFBibTeX XMLCite \textit{G. Chen} et al., Proc. Cent. Math. Appl. Aust. Natl. Univ. 37, 75--82 (1999; Zbl 1193.35103)
Sharkovsky, A. N.; Berezovsky, S. A. Computer turbulence. (English) Zbl 0991.65078 Priezzhev, V. B. (ed.) et al., Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30-August 7, 1998. Dubna: Joint Institute for Nuclear Research. 251-259 (1999). MSC: 65M06 37M15 65P10 35L60 37K10 PDFBibTeX XMLCite \textit{A. N. Sharkovsky} and \textit{S. A. Berezovsky}, in: Self-similar systems. Proceedings of the international workshop, Dubna, Russia, July 30--August 7, 1998. Dubna: Joint Institute for Nuclear Research. 251--259 (1999; Zbl 0991.65078)
Menon, Govind Gevrey class regularity for the attractor of the laser equations. (English) Zbl 0949.35026 Nonlinearity 12, No. 6, 1505-1510 (1999). Reviewer: L.Recke (Berlin) MSC: 35B65 35B41 78A60 35L60 35L50 37N20 PDFBibTeX XMLCite \textit{G. Menon}, Nonlinearity 12, No. 6, 1505--1510 (1999; Zbl 0949.35026) Full Text: DOI Link
Chen, Goong; Hsu, Sze-Bi; Zhou, Jianxin [Chen, Guanrong; Crosta, Giovanni] Chaotic vibrations of the one-dimensional wave equation due to a self-excitation boundary condition. I: Controlled hysteresis (with Appendix by Guanrong Chen and Giovanni Crosta). (English) Zbl 0916.35065 Trans. Am. Math. Soc. 350, No. 11, 4265-4311 (1998). Reviewer: S.Nocilla (Torino) MSC: 35L60 74K05 70L05 37D45 PDFBibTeX XMLCite \textit{G. Chen} et al., Trans. Am. Math. Soc. 350, No. 11, 4265--4311 (1998; Zbl 0916.35065) Full Text: DOI
Schneider, Guido Justification of modulation equations for hyperbolic systems via normal forms. (English) Zbl 0890.35082 NoDEA, Nonlinear Differ. Equ. Appl. 5, No. 1, 69-82 (1998). MSC: 35L60 35Q55 37G05 PDFBibTeX XMLCite \textit{G. Schneider}, NoDEA, Nonlinear Differ. Equ. Appl. 5, No. 1, 69--82 (1998; Zbl 0890.35082) Full Text: DOI
Ferapontov, E. V. Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems. (English) Zbl 0872.53005 Differ. Geom. Appl. 5, No. 4, 335-369 (1995). Reviewer: L.K.H.Kramer (Würzburg) MSC: 53A07 37J35 37K10 35L60 PDFBibTeX XMLCite \textit{E. V. Ferapontov}, Differ. Geom. Appl. 5, No. 4, 335--369 (1995; Zbl 0872.53005) Full Text: DOI
Ferapontov, E. V. Dupin hypersurfaces and integrable Hamiltonian systems of hydrodynamic type which do not possess Riemann invariants. (English) Zbl 0847.53001 Differ. Geom. Appl. 5, No. 2, 121-152 (1995). Reviewer: A.Bobenko (Berlin) MSC: 53A07 37J35 37K10 35L60 PDFBibTeX XMLCite \textit{E. V. Ferapontov}, Differ. Geom. Appl. 5, No. 2, 121--152 (1995; Zbl 0847.53001) Full Text: DOI
Craig, Walter; Wayne, C. Eugene Nonlinear waves and the \(1:1:2\) resonance. (English) Zbl 0849.35133 Ercolani, N. M. (ed.) et al., Singular limits of dispersive waves. Proceedings of a NATO advanced research workshop, Lyons, France, July 8-12, 1991. New York, NY: Plenum. NATO ASI Ser., Ser. B, Phys. 320, 297-313 (1994). MSC: 35Q58 35B10 37J35 37K10 35L60 PDFBibTeX XMLCite \textit{W. Craig} and \textit{C. E. Wayne}, NATO ASI Ser., Ser. B, Phys. 320, 297--313 (1994; Zbl 0849.35133)
Bogoyavlenskij, O. I. Existence of Riemann invariants and Hamiltonian structures. (English) Zbl 0804.35109 C. R. Math. Acad. Sci., Soc. R. Can. 15, No. 4, 143-148 (1993). MSC: 35Q35 35L60 37J99 PDFBibTeX XMLCite \textit{O. I. Bogoyavlenskij}, C. R. Math. Acad. Sci., Soc. R. Can. 15, No. 4, 143--148 (1993; Zbl 0804.35109)
Cercignani, C. A singular inverse-scattering approach to nondispersive hyperbolic systems. (English) Zbl 0723.58028 Nonlinear wave motion, Pitman Monogr. Surv. Pure Appl. Math. 43, 34-40 (1989). MSC: 37J35 37K10 35L60 PDFBibTeX XML
Constantin, P.; Foias, C.; Gibbon, J. D. Finite-dimensional attractor for the laser equations. (English) Zbl 0696.35101 Nonlinearity 2, No. 2, 241-269 (1989). MSC: 35L60 35D05 37C70 37D45 PDFBibTeX XMLCite \textit{P. Constantin} et al., Nonlinearity 2, No. 2, 241--269 (1989; Zbl 0696.35101) Full Text: DOI
Bates, Peter W.; Jones, Christopher K. R. T. Invariant manifolds for semilinear partial differential equations. (English) Zbl 0674.58024 Dynamics reported, Vol. 2, 1-38 (1989). Reviewer: J.Marschall MSC: 37C75 34G20 35L60 PDFBibTeX XML
Kodama, Yuji On integrable systems with higher order corrections. (English) Zbl 1177.37058 Phys. Lett., A 107, No. 6, 245-249 (1985). MSC: 37J35 35L60 PDFBibTeX XMLCite \textit{Y. Kodama}, Phys. Lett., A 107, No. 6, 245--249 (1985; Zbl 1177.37058) Full Text: DOI
Rudnicki, Ryszard Ergodic properties of hyperbolic systems of partial differential equations. (English) Zbl 0612.58038 Bull. Pol. Acad. Sci., Math. 33, 595-599 (1985). Reviewer: N.Jacob MSC: 37C10 37C80 35L60 PDFBibTeX XMLCite \textit{R. Rudnicki}, Bull. Pol. Acad. Sci., Math. 33, 595--599 (1985; Zbl 0612.58038)
Kaup, D. J. The lump solutions and the Bäcklund transformation for the three- dimensional three-wave resonant interaction. (English) Zbl 0467.35070 J. Math. Phys. 22, 1176-1181 (1981). MSC: 35L60 35C05 37J35 37K10 35A22 35F20 35P25 PDFBibTeX XMLCite \textit{D. J. Kaup}, J. Math. Phys. 22, 1176--1181 (1981; Zbl 0467.35070) Full Text: DOI
Kaup, D. J. Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction. (English) Zbl 0467.35069 Mathematical methods and applications of scattering theory, Proc. Conf. Washington/D.C. 1979, Lect. Notes Phys. 130, 247-254 (1980). MSC: 35L60 35P25 35F25 37J35 37K10 PDFBibTeX XML
Conley, C.; Smoller, Joel Isolated invariant sets of parameterized systems of differential equations. (English) Zbl 0388.58014 Struc. Attract. dyn. Syst., Proc., North Dakota State Univ. 1977, Lect. Notes Math. 668, 28-47 (1978). MSC: 37C75 34C05 35L60 PDFBibTeX XML
Ball, J. M. On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations. (English) Zbl 0376.35002 J. Differ. Equations 27, 224-265 (1978). MSC: 35B40 34D20 37-XX 35K55 35L60 34G99 PDFBibTeX XMLCite \textit{J. M. Ball}, J. Differ. Equations 27, 224--265 (1978; Zbl 0376.35002) Full Text: DOI
Sato, Tetsuya A new type of nonlinear plasma equation. II: Annihilative and transparent interactions of pulses. (English) Zbl 1334.82066 J. Phys. Soc. Japan 41, No. 1, 315-320 (1976). MSC: 82D10 35Q35 76X05 37N10 35L60 PDFBibTeX XMLCite \textit{T. Sato}, J. Phys. Soc. Japan 41, No. 1, 315--320 (1976; Zbl 1334.82066) Full Text: DOI
Marsden, Jerry Applications of global analysis in mathematical physics. (English) Zbl 0367.58001 Mathematics Lecture Series. 2. Boston, Mass.: Publish or Perish, Inc. 273 p. $ 10.50 (1974). MSC: 58-02 34C40 34D20 35L60 35Q30 47B25 47J05 53B30 58D05 37J99 70H05 76D05 PDFBibTeX XML