Zhao, Xue-Hui Multi-solitons and integrability for a \((2+1)\)-dimensional variable coefficients Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 07782644 Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024). MSC: 35Q53 35Q51 35C08 37K10 37K35 11B73 PDFBibTeX XMLCite \textit{X.-H. Zhao}, Appl. Math. Lett. 149, Article ID 108895, 5 p. (2024; Zbl 07782644) Full Text: DOI
Xue, Bo; Du, Huiling; Geng, Xianguo New integrable peakon equation and its dynamic system. (English) Zbl 1522.35452 Appl. Math. Lett. 146, Article ID 108795, 7 p. (2023). MSC: 35Q53 35C08 37K10 37K15 76B15 PDFBibTeX XMLCite \textit{B. Xue} et al., Appl. Math. Lett. 146, Article ID 108795, 7 p. (2023; Zbl 1522.35452) Full Text: DOI
Hu, Weipeng; Han, Zhengqi; Bridges, Thomas J.; Qiao, Zhijun Multi-symplectic simulations of W/M-shape-peaks solitons and cuspons for FORQ equation. (English) Zbl 1525.37079 Appl. Math. Lett. 145, Article ID 108772, 8 p. (2023). MSC: 37K40 37K06 35Q51 37M15 35C08 PDFBibTeX XMLCite \textit{W. Hu} et al., Appl. Math. Lett. 145, Article ID 108772, 8 p. (2023; Zbl 1525.37079) Full Text: DOI
Vo Van Au Global existence for the defocusing Sobolev critical Schrödinger equation under the finite variance condition of initial data. (English) Zbl 1501.35380 Appl. Math. Lett. 134, Article ID 108332, 8 p. (2022). MSC: 35Q55 35Q41 81Q05 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{Vo Van Au}, Appl. Math. Lett. 134, Article ID 108332, 8 p. (2022; Zbl 1501.35380) Full Text: DOI
Liu, Hanze; Bai, Cheng-Lin; Xin, Xiangpeng Integrable property, Lie symmetry analysis and explicit solutions to the generalized \(\phi^4\) model. (English) Zbl 1505.37077 Appl. Math. Lett. 134, Article ID 108316, 7 p. (2022). MSC: 37K06 37K10 35Q51 35B06 70G65 PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Math. Lett. 134, Article ID 108316, 7 p. (2022; Zbl 1505.37077) Full Text: DOI
Lu, Yun-guang; Xue, Changfeng; Klingenberg, Christian Global entropy solutions for systems modelling polymer flooding in enhanced oil recovery. (English) Zbl 1503.76095 Appl. Math. Lett. 122, Article ID 107495, 6 p. (2021). MSC: 76S05 35L02 35L65 PDFBibTeX XMLCite \textit{Y.-g. Lu} et al., Appl. Math. Lett. 122, Article ID 107495, 6 p. (2021; Zbl 1503.76095) Full Text: DOI
Xue, Bo; Du, Huiling; Geng, Xianguo A Degasperis-Procesi equation II with multi-peakon solutions. (English) Zbl 1481.37078 Appl. Math. Lett. 121, Article ID 107463, 7 p. (2021). MSC: 37K10 37K40 35Q51 PDFBibTeX XMLCite \textit{B. Xue} et al., Appl. Math. Lett. 121, Article ID 107463, 7 p. (2021; Zbl 1481.37078) Full Text: DOI
Yang, Weiwei; Liu, Shujun Large BV solution for isentropic gas dynamics system with initial data far from vacuum. (English) Zbl 1458.35267 Appl. Math. Lett. 114, Article ID 106914, 5 p. (2021). MSC: 35L65 35L45 35L60 76N15 PDFBibTeX XMLCite \textit{W. Yang} and \textit{S. Liu}, Appl. Math. Lett. 114, Article ID 106914, 5 p. (2021; Zbl 1458.35267) Full Text: DOI
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. (English) Zbl 1458.35371 Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021). MSC: 35Q53 35Q51 35C08 37K35 76X05 PDFBibTeX XMLCite \textit{T.-T. Jia} et al., Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021; Zbl 1458.35371) Full Text: DOI
Hu, Weipeng; Wang, Zhen; Zhao, Yunping; Deng, Zichen Symmetry breaking of infinite-dimensional dynamic system. (English) Zbl 1475.37071 Appl. Math. Lett. 103, Article ID 106207, 7 p. (2020). MSC: 37K06 35B06 PDFBibTeX XMLCite \textit{W. Hu} et al., Appl. Math. Lett. 103, Article ID 106207, 7 p. (2020; Zbl 1475.37071) Full Text: DOI
Sun, Xia; Wang, Guodong; Ma, Yanying A new modified local Lax-Friedrichs scheme for scalar conservation laws with discontinuous flux. (English) Zbl 1436.65111 Appl. Math. Lett. 105, Article ID 106328, 7 p. (2020). MSC: 65M06 35Q35 PDFBibTeX XMLCite \textit{X. Sun} et al., Appl. Math. Lett. 105, Article ID 106328, 7 p. (2020; Zbl 1436.65111) Full Text: DOI
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang On a new WENO algorithm of order \(2r\) with improved accuracy close to discontinuities. (English) Zbl 1503.65161 Appl. Math. Lett. 105, Article ID 106298, 12 p. (2020). MSC: 65M06 35L65 65M12 PDFBibTeX XMLCite \textit{S. Amat} et al., Appl. Math. Lett. 105, Article ID 106298, 12 p. (2020; Zbl 1503.65161) Full Text: DOI
Wang, Qin; Zhang, Jingqin; Yang, Hanchun Two dimensional Riemann-type problem and shock diffraction for the Chaplygin gas. (English) Zbl 1430.35156 Appl. Math. Lett. 101, Article ID 106046, 8 p. (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 76N10 76Y05 35L50 35Q31 PDFBibTeX XMLCite \textit{Q. Wang} et al., Appl. Math. Lett. 101, Article ID 106046, 8 p. (2020; Zbl 1430.35156) Full Text: DOI
Huang, Qian-Min Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation. (English) Zbl 1412.35053 Appl. Math. Lett. 93, 29-33 (2019). MSC: 35C08 35Q55 35Q60 PDFBibTeX XMLCite \textit{Q.-M. Huang}, Appl. Math. Lett. 93, 29--33 (2019; Zbl 1412.35053) Full Text: DOI
Mohamed, Sana Mohamed Abdulwanis; Nedeljkov, Marko Simplified chromatography model and inverse of split delta shocks. (English) Zbl 1412.35200 Appl. Math. Lett. 92, 49-53 (2019). MSC: 35L67 35L65 35L45 PDFBibTeX XMLCite \textit{S. M. A. Mohamed} and \textit{M. Nedeljkov}, Appl. Math. Lett. 92, 49--53 (2019; Zbl 1412.35200) Full Text: DOI
Daus, Esther S.; Tang, Bao Quoc Trend to equilibrium of renormalized solutions to reaction-cross-diffusion systems. (English) Zbl 1406.35152 Appl. Math. Lett. 88, 81-89 (2019). MSC: 35K51 35K57 35K59 PDFBibTeX XMLCite \textit{E. S. Daus} and \textit{B. Q. Tang}, Appl. Math. Lett. 88, 81--89 (2019; Zbl 1406.35152) Full Text: DOI arXiv
Yan, Zhenya A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations. (English) Zbl 1461.37073 Appl. Math. Lett. 79, 123-130 (2018). MSC: 37K10 37K06 35Q55 PDFBibTeX XMLCite \textit{Z. Yan}, Appl. Math. Lett. 79, 123--130 (2018; Zbl 1461.37073) Full Text: DOI arXiv
Lan, Zhongzhou; Gao, Bo Lax pair, infinitely many conservation laws and solitons for a \((2 + 1)\)-dimensional Heisenberg ferromagnetic spin chain equation with time-dependent coefficients. (English) Zbl 1459.82338 Appl. Math. Lett. 79, 6-12 (2018). MSC: 82D40 82B20 37K06 37K35 37K40 35C08 68W30 35Q55 35Q82 PDFBibTeX XMLCite \textit{Z. Lan} and \textit{B. Gao}, Appl. Math. Lett. 79, 6--12 (2018; Zbl 1459.82338) Full Text: DOI
Lu, Yun-Guang; Sugiyama, Yuusuke Existence and nonexistence theorems of global weak solutions to degenerate quasilinear wave equations for the elasticity. (English) Zbl 1524.35384 Appl. Math. Lett. 84, 118-123 (2018). MSC: 35L65 76N15 35B40 35L72 35L45 PDFBibTeX XMLCite \textit{Y.-G. Lu} and \textit{Y. Sugiyama}, Appl. Math. Lett. 84, 118--123 (2018; Zbl 1524.35384) Full Text: DOI arXiv
Wei, Jiao; Geng, Xianguo A super Sasa-Satsuma hierarchy and bi-Hamiltonian structures. (English) Zbl 1524.37063 Appl. Math. Lett. 83, 46-52 (2018). MSC: 37K10 37K35 35Q51 37K06 PDFBibTeX XMLCite \textit{J. Wei} and \textit{X. Geng}, Appl. Math. Lett. 83, 46--52 (2018; Zbl 1524.37063) Full Text: DOI
Luo, Lin The \(\tau\)-symmetry algebra of the generalized Kaup-Newell hierarchy. (English) Zbl 1391.37051 Appl. Math. Lett. 82, 92-97 (2018). MSC: 37K10 37K05 37K30 PDFBibTeX XMLCite \textit{L. Luo}, Appl. Math. Lett. 82, 92--97 (2018; Zbl 1391.37051) Full Text: DOI
Shen, Chun Delta shock wave solution for a symmetric Keyfitz-Kranzer system. (English) Zbl 1380.35126 Appl. Math. Lett. 77, 35-43 (2018). MSC: 35L67 35L65 35L45 PDFBibTeX XMLCite \textit{C. Shen}, Appl. Math. Lett. 77, 35--43 (2018; Zbl 1380.35126) Full Text: DOI
Wang, Guodong; Hu, Yanbo The Roe-type interface flux for conservation laws with discontinuous flux function. (English) Zbl 1377.65112 Appl. Math. Lett. 75, 68-73 (2018). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Y. Hu}, Appl. Math. Lett. 75, 68--73 (2018; Zbl 1377.65112) Full Text: DOI
Dimas, Stylianos; Leite Freire, Igor Study of a fifth order PDE using symmetries. (English) Zbl 1373.35023 Appl. Math. Lett. 69, 121-125 (2017). MSC: 35B06 35G20 PDFBibTeX XMLCite \textit{S. Dimas} and \textit{I. Leite Freire}, Appl. Math. Lett. 69, 121--125 (2017; Zbl 1373.35023) Full Text: DOI arXiv
Yan, Zhenya Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions. (English) Zbl 1351.35197 Appl. Math. Lett. 62, 101-109 (2016). MSC: 35Q55 35C08 PDFBibTeX XMLCite \textit{Z. Yan}, Appl. Math. Lett. 62, 101--109 (2016; Zbl 1351.35197) Full Text: DOI arXiv
Colombo, Rinaldo M.; Guerra, Graziano Characterization of the solutions to ODE-PDE systems. (English) Zbl 1348.35135 Appl. Math. Lett. 62, 69-75 (2016). MSC: 35L50 35L65 35A02 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{G. Guerra}, Appl. Math. Lett. 62, 69--75 (2016; Zbl 1348.35135) Full Text: DOI
Huang, Zaixing Shape-dependent natural boundary condition of Lagrangian field. (English) Zbl 1347.83007 Appl. Math. Lett. 61, 56-61 (2016). MSC: 83C05 53Z05 83C40 70H40 PDFBibTeX XMLCite \textit{Z. Huang}, Appl. Math. Lett. 61, 56--61 (2016; Zbl 1347.83007) Full Text: DOI
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^\infty\) solutions to a generalized \(n \times n\) hyperbolic system of quadratic type. (English) Zbl 1347.35150 Appl. Math. Lett. 61, 49-55 (2016). MSC: 35L45 35L60 35L65 35D40 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Lett. 61, 49--55 (2016; Zbl 1347.35150) Full Text: DOI
Lu, Yun-guang Global entropy solutions of Cauchy problem for the Le Roux system. (English) Zbl 1343.35163 Appl. Math. Lett. 60, 61-66 (2016). MSC: 35L65 35L45 PDFBibTeX XMLCite \textit{Y.-g. Lu}, Appl. Math. Lett. 60, 61--66 (2016; Zbl 1343.35163) Full Text: DOI
Daw, Dalal Abdulsalam Elmabruk; Nedeljkov, Marko Shadow waves for pressureless gas balance laws. (English) Zbl 1339.35177 Appl. Math. Lett. 57, 54-59 (2016). MSC: 35L65 76N15 35L67 PDFBibTeX XMLCite \textit{D. A. E. Daw} and \textit{M. Nedeljkov}, Appl. Math. Lett. 57, 54--59 (2016; Zbl 1339.35177) Full Text: DOI
Xin, Xiangpeng; Liu, Yutang; Liu, Xiqiang Nonlocal symmetries, exact solutions and conservation laws of the coupled Hirota equations. (English) Zbl 1336.35029 Appl. Math. Lett. 55, 63-71 (2016). MSC: 35B06 35C05 PDFBibTeX XMLCite \textit{X. Xin} et al., Appl. Math. Lett. 55, 63--71 (2016; Zbl 1336.35029) Full Text: DOI
Wei, Jiao; Geng, Xianguo A vector generalization of Volterra type differential-difference equations. (English) Zbl 1351.39008 Appl. Math. Lett. 55, 36-41 (2016). MSC: 39A12 15A18 34K06 PDFBibTeX XMLCite \textit{J. Wei} and \textit{X. Geng}, Appl. Math. Lett. 55, 36--41 (2016; Zbl 1351.39008) Full Text: DOI
Borazjani, S.; Roberts, A. J.; Bedrikovetsky, P. Splitting in systems of PDEs for two-phase multicomponent flow in porous media. (English) Zbl 1342.76118 Appl. Math. Lett. 53, 25-32 (2016). MSC: 76S05 35Q35 PDFBibTeX XMLCite \textit{S. Borazjani} et al., Appl. Math. Lett. 53, 25--32 (2016; Zbl 1342.76118) Full Text: DOI
Liu, Shujun; Chen, Fangqi; Wang, Zejun Existence of global \(L^p\) solutions to a symmetric system of Keyfitz-Kranzer type. (English) Zbl 1331.35221 Appl. Math. Lett. 52, 96-101 (2016). MSC: 35L45 35D40 35L60 35L65 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Lett. 52, 96--101 (2016; Zbl 1331.35221) Full Text: DOI
Ekrut, David A.; Cogan, N. G. Shocks and rarefactions arise in a two-phase model with logistic growth. (English) Zbl 1330.76153 Appl. Math. Lett. 52, 4-8 (2016). MSC: 76Z05 92C35 35Q35 35L65 35L67 PDFBibTeX XMLCite \textit{D. A. Ekrut} and \textit{N. G. Cogan}, Appl. Math. Lett. 52, 4--8 (2016; Zbl 1330.76153) Full Text: DOI
Casetta, Leonardo A theorem on energy integrals for linear second-order ordinary differential equations with variable coefficients. (English) Zbl 1330.34065 Appl. Math. Lett. 51, 8-12 (2016). MSC: 34C20 70H03 70H05 70H33 37J05 37N05 PDFBibTeX XMLCite \textit{L. Casetta}, Appl. Math. Lett. 51, 8--12 (2016; Zbl 1330.34065) Full Text: DOI
Xue, Ling-Ling; Liu, Qing-Ping; Lou, Sen-Yue An integrable nonlinear diffusion hierarchy with a two-dimensional arbitrary function. (English) Zbl 1330.35017 Appl. Math. Lett. 50, 105-110 (2015). MSC: 35B06 35C05 PDFBibTeX XMLCite \textit{L.-L. Xue} et al., Appl. Math. Lett. 50, 105--110 (2015; Zbl 1330.35017) Full Text: DOI
Xu, Gui-qiong Integrability of a (2+1)-dimensional generalized breaking soliton equation. (English) Zbl 1334.35272 Appl. Math. Lett. 50, 16-22 (2015). MSC: 35Q51 37K35 PDFBibTeX XMLCite \textit{G.-q. Xu}, Appl. Math. Lett. 50, 16--22 (2015; Zbl 1334.35272) Full Text: DOI
Yan, Zhenya Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model. (English) Zbl 1322.35132 Appl. Math. Lett. 47, 61-68 (2015). MSC: 35Q55 35C08 35B10 35C06 PDFBibTeX XMLCite \textit{Z. Yan}, Appl. Math. Lett. 47, 61--68 (2015; Zbl 1322.35132) Full Text: DOI arXiv
Geng, Xianguo; Li, Ruomeng; Xue, Bo A new integrable equation with peakons and cuspons and its bi-Hamiltonian structure. (English) Zbl 1326.35066 Appl. Math. Lett. 46, 64-69 (2015). MSC: 35C07 35C08 35Q51 37K05 PDFBibTeX XMLCite \textit{X. Geng} et al., Appl. Math. Lett. 46, 64--69 (2015; Zbl 1326.35066) Full Text: DOI
Chen, Shuxing; Li, Dening Solutions of the Cauchy problem for the 2-D Euler system with fan-shaped structure. (English) Zbl 1311.35193 Appl. Math. Lett. 32, 19-21 (2014). MSC: 35Q31 PDFBibTeX XMLCite \textit{S. Chen} and \textit{D. Li}, Appl. Math. Lett. 32, 19--21 (2014; Zbl 1311.35193) Full Text: DOI
Mungkasi, Sudi; Li, Zhenquan; Roberts, Stephen Gwyn Weak local residuals as smoothness indicators for the shallow water equations. (English) Zbl 1311.35228 Appl. Math. Lett. 30, 51-55 (2014). MSC: 35Q35 35L65 35L45 76M12 65M08 76B15 PDFBibTeX XMLCite \textit{S. Mungkasi} et al., Appl. Math. Lett. 30, 51--55 (2014; Zbl 1311.35228) Full Text: DOI
Johnpillai, A. G.; Kara, A. H.; Biswas, Anjan Symmetry reduction, exact group-invariant solutions and conservation laws of the Benjamin-Bona-Mahoney equation. (English) Zbl 1257.35151 Appl. Math. Lett. 26, No. 3, 376-381 (2013). MSC: 35Q35 35Q53 35A30 35B05 PDFBibTeX XMLCite \textit{A. G. Johnpillai} et al., Appl. Math. Lett. 26, No. 3, 376--381 (2013; Zbl 1257.35151) Full Text: DOI
Andreianov, Boris; Cancès, Clément The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. (English) Zbl 1253.65122 Appl. Math. Lett. 25, No. 11, 1844-1848 (2012). MSC: 65M06 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Appl. Math. Lett. 25, No. 11, 1844--1848 (2012; Zbl 1253.65122) Full Text: DOI
Naz, R. Conservation laws for some compacton equations using the multiplier approach. (English) Zbl 1387.35020 Appl. Math. Lett. 25, No. 3, 257-261 (2012). MSC: 35A30 35Q53 37K05 PDFBibTeX XMLCite \textit{R. Naz}, Appl. Math. Lett. 25, No. 3, 257--261 (2012; Zbl 1387.35020) Full Text: DOI
Shen, Chun The limits of Riemann solutions to the isentropic magnetogasdynamics. (English) Zbl 1215.35105 Appl. Math. Lett. 24, No. 7, 1124-1129 (2011). MSC: 35L67 35L65 76W05 PDFBibTeX XMLCite \textit{C. Shen}, Appl. Math. Lett. 24, No. 7, 1124--1129 (2011; Zbl 1215.35105) Full Text: DOI
Fu, Yanggeng; Liu, Zhengrong Existence of travelling wavefronts of the KdV-Burgers equation. (English) Zbl 1211.35239 Appl. Math. Lett. 24, No. 6, 897-900 (2011). MSC: 35Q53 35C07 37K05 35A01 PDFBibTeX XMLCite \textit{Y. Fu} and \textit{Z. Liu}, Appl. Math. Lett. 24, No. 6, 897--900 (2011; Zbl 1211.35239) Full Text: DOI
Rumsey, David; Sun, Tong A smoothness/shock indicator for the RKDG methods. (English) Zbl 1203.35016 Appl. Math. Lett. 23, No. 12, 1425-1431 (2010). MSC: 35A35 35L65 35L67 65M60 PDFBibTeX XMLCite \textit{D. Rumsey} and \textit{T. Sun}, Appl. Math. Lett. 23, No. 12, 1425--1431 (2010; Zbl 1203.35016) Full Text: DOI
Khalique, Chaudry Masood; Biswas, Anjan Analysis of non-linear Klein-Gordon equations using Lie symmetry. (English) Zbl 1197.35232 Appl. Math. Lett. 23, No. 11, 1397-1400 (2010). MSC: 35Q53 37K05 PDFBibTeX XMLCite \textit{C. M. Khalique} and \textit{A. Biswas}, Appl. Math. Lett. 23, No. 11, 1397--1400 (2010; Zbl 1197.35232) Full Text: DOI
Naz, R.; Mahomed, F. M.; Hayat, T. Conservation laws for third-order variant Boussinesq system. (English) Zbl 1193.35104 Appl. Math. Lett. 23, No. 8, 883-886 (2010). MSC: 35L65 35B06 35Q35 PDFBibTeX XMLCite \textit{R. Naz} et al., Appl. Math. Lett. 23, No. 8, 883--886 (2010; Zbl 1193.35104) Full Text: DOI
Geng, Xianguo; Wu, Lihua A new super-extension of the KdV hierarchy. (English) Zbl 1190.35197 Appl. Math. Lett. 23, No. 6, 716-721 (2010). MSC: 35Q53 37K10 37K35 PDFBibTeX XMLCite \textit{X. Geng} and \textit{L. Wu}, Appl. Math. Lett. 23, No. 6, 716--721 (2010; Zbl 1190.35197) Full Text: DOI
Peer, A. A. I.; Dauhoo, M. Z.; Bhuruth, M. A method for improving the performance of the WENO5 scheme near discontinuities. (English) Zbl 1177.65130 Appl. Math. Lett. 22, No. 11, 1730-1733 (2009). MSC: 65M06 65M20 35L65 PDFBibTeX XMLCite \textit{A. A. I. Peer} et al., Appl. Math. Lett. 22, No. 11, 1730--1733 (2009; Zbl 1177.65130) Full Text: DOI
Keilegavlen, Eirik; Nordbotten, Jan M.; Aavatsmark, Ivar Sufficient criteria are necessary for monotone control volume methods. (English) Zbl 1173.76409 Appl. Math. Lett. 22, No. 8, 1178-1180 (2009). MSC: 76S05 76M12 65N06 PDFBibTeX XMLCite \textit{E. Keilegavlen} et al., Appl. Math. Lett. 22, No. 8, 1178--1180 (2009; Zbl 1173.76409) Full Text: DOI Link
Shen, Chun; Sun, Meina The Riemann problem for the pressure-gradient system in three pieces. (English) Zbl 1173.35595 Appl. Math. Lett. 22, No. 4, 453-458 (2009). MSC: 35L67 35L65 PDFBibTeX XMLCite \textit{C. Shen} and \textit{M. Sun}, Appl. Math. Lett. 22, No. 4, 453--458 (2009; Zbl 1173.35595) Full Text: DOI
Zhang, Shu-Yi Discontinuous solutions to the Euler equations for a Van der Waals fluid. (English) Zbl 1110.35043 Appl. Math. Lett. 20, No. 2, 170-176 (2007). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 76N10 76L05 35Q35 PDFBibTeX XMLCite \textit{S.-Y. Zhang}, Appl. Math. Lett. 20, No. 2, 170--176 (2007; Zbl 1110.35043) Full Text: DOI
Di Francesco, Marco; Lattanzio, Corrado Optimal \(L^{1}\) rate of decay to diffusion waves for the Hamer model of radiating gases. (English) Zbl 1116.35088 Appl. Math. Lett. 19, No. 10, 1046-1052 (2006). MSC: 35L65 35B40 76N15 PDFBibTeX XMLCite \textit{M. Di Francesco} and \textit{C. Lattanzio}, Appl. Math. Lett. 19, No. 10, 1046--1052 (2006; Zbl 1116.35088) Full Text: DOI
Breuß, Michael; Welk, Martin A conservative shock filter model for the numerical approximation of conservation laws. (English) Zbl 1114.65345 Appl. Math. Lett. 19, No. 9, 954-959 (2006). MSC: 65M06 35L65 35L67 PDFBibTeX XMLCite \textit{M. Breuß} and \textit{M. Welk}, Appl. Math. Lett. 19, No. 9, 954--959 (2006; Zbl 1114.65345) Full Text: DOI
Bokhove, O. Hamiltonian restriction of Vlasov equations to rotating isopycnic and isentropic two-layer equations. (English) Zbl 1125.37046 Appl. Math. Lett. 18, No. 12, 1418-1425 (2005). MSC: 37K05 35Q35 37M15 37N20 76U05 86A05 86A10 PDFBibTeX XMLCite \textit{O. Bokhove}, Appl. Math. Lett. 18, No. 12, 1418--1425 (2005; Zbl 1125.37046) Full Text: DOI Link
Damianou, Pantelis A.; Sophocleous, Christodoulos Noether and master symmetries for the Toda lattice. (English) Zbl 1081.37037 Appl. Math. Lett. 18, No. 2, 163-170 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K05 37K10 70H33 37K30 PDFBibTeX XMLCite \textit{P. A. Damianou} and \textit{C. Sophocleous}, Appl. Math. Lett. 18, No. 2, 163--170 (2005; Zbl 1081.37037) Full Text: DOI
Colombo, R. M.; Groli, A. Minimising stop and go waves to optimise traffic flow. (English) Zbl 1058.49011 Appl. Math. Lett. 17, No. 6, 697-701 (2004). MSC: 49J45 35L65 49J10 90B20 PDFBibTeX XMLCite \textit{R. M. Colombo} and \textit{A. Groli}, Appl. Math. Lett. 17, No. 6, 697--701 (2004; Zbl 1058.49011) Full Text: DOI
Katsaounis, Th.; Perthame, B.; Simeoni, C. Upwinding sources at interfaces in conservation laws. (English) Zbl 1061.65080 Appl. Math. Lett. 17, No. 3, 309-316 (2004). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{Th. Katsaounis} et al., Appl. Math. Lett. 17, No. 3, 309--316 (2004; Zbl 1061.65080) Full Text: DOI
Kong, De-Xing; Yang, T. A note on “Well-posedness theory for hyperbolic conservation laws”. (English) Zbl 1073.35159 Appl. Math. Lett. 16, No. 2, 143-146 (2003). MSC: 35L65 35B30 PDFBibTeX XMLCite \textit{D.-X. Kong} and \textit{T. Yang}, Appl. Math. Lett. 16, No. 2, 143--146 (2003; Zbl 1073.35159) Full Text: DOI
Seghir, D. Convergence of a continuous BGK model for conservation laws on the quarter plane. (English) Zbl 1043.35112 Appl. Math. Lett. 16, No. 8, 1295-1299 (2003). MSC: 35L65 82C40 PDFBibTeX XMLCite \textit{D. Seghir}, Appl. Math. Lett. 16, No. 8, 1295--1299 (2003; Zbl 1043.35112) Full Text: DOI
Pan, Tao; Liu, Hongxoa Asymptotic behaviors of the solution to an initial-boundary value problem for scalar viscous conservation laws. (English) Zbl 1043.35085 Appl. Math. Lett. 15, No. 6, 727-734 (2002). MSC: 35K60 35L65 PDFBibTeX XMLCite \textit{T. Pan} and \textit{H. Liu}, Appl. Math. Lett. 15, No. 6, 727--734 (2002; Zbl 1043.35085) Full Text: DOI
Hwang, Hyun-Cheol A numerical algorithm for flame propagation in premixed gases. (English) Zbl 0980.35101 Appl. Math. Lett. 14, No. 4, 487-493 (2001). MSC: 35L65 80A25 35A35 PDFBibTeX XMLCite \textit{H.-C. Hwang}, Appl. Math. Lett. 14, No. 4, 487--493 (2001; Zbl 0980.35101) Full Text: DOI
Peyroutet, F. Splitting method applied to hyperbolic problem with source term. (English) Zbl 0982.65094 Appl. Math. Lett. 14, No. 1, 99-104 (2001). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{F. Peyroutet}, Appl. Math. Lett. 14, No. 1, 99--104 (2001; Zbl 0982.65094) Full Text: DOI
Hone, A. N. W. Reciprocal link for \(2+1\)-dimensional extensions of shallow water equations. (English) Zbl 0955.35071 Appl. Math. Lett. 13, No. 3, 37-42 (2000). MSC: 35Q58 35Q51 37K10 37K35 76B15 PDFBibTeX XMLCite \textit{A. N. W. Hone}, Appl. Math. Lett. 13, No. 3, 37--42 (2000; Zbl 0955.35071) Full Text: DOI
Li, Jichun An optimal order estimate for nonlinear hyperbolic conservation laws in two variables. (English) Zbl 0955.35054 Appl. Math. Lett. 13, No. 3, 85-89 (2000). MSC: 35L65 65M60 35B10 PDFBibTeX XMLCite \textit{J. Li}, Appl. Math. Lett. 13, No. 3, 85--89 (2000; Zbl 0955.35054) Full Text: DOI
Minzoni, A. A.; Vargas, C. A. Strange conserved quantities for the wave equation for elastic membranes. (English) Zbl 0997.74028 Appl. Math. Lett. 13, No. 2, 105-109 (2000). MSC: 74H45 74K15 PDFBibTeX XMLCite \textit{A. A. Minzoni} and \textit{C. A. Vargas}, Appl. Math. Lett. 13, No. 2, 105--109 (2000; Zbl 0997.74028) Full Text: DOI
Damianou, P. A.; Sophocleous, C. Symmetry group classification of three-dimensional Hamiltonian systems. (English) Zbl 0982.70013 Appl. Math. Lett. 13, No. 2, 63-70 (2000). MSC: 70H33 70G65 37N05 PDFBibTeX XMLCite \textit{P. A. Damianou} and \textit{C. Sophocleous}, Appl. Math. Lett. 13, No. 2, 63--70 (2000; Zbl 0982.70013) Full Text: DOI
Yong, W.-A. A simple approach to Glimm’s interaction estimates. (English) Zbl 0935.35100 Appl. Math. Lett. 12, No. 2, 29-34 (1999). Reviewer: Wen-An Yong MSC: 35L65 35L50 PDFBibTeX XMLCite \textit{W. A. Yong}, Appl. Math. Lett. 12, No. 2, 29--34 (1999; Zbl 0935.35100) Full Text: DOI
Bertsch, M.; Goncerzewicz, J.; Hilhorst, D. Large time behaviour of solutions of scalar viscous and nonviscous conservation laws. (English) Zbl 0942.35030 Appl. Math. Lett. 12, No. 3, 83-87 (1999). Reviewer: Evgeniy Panov (Novgorod) MSC: 35B40 35L65 35K55 35K65 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Appl. Math. Lett. 12, No. 3, 83--87 (1999; Zbl 0942.35030) Full Text: DOI
Amadori, D.; Guerra, G. Global weak solutions for systems of balance laws. (English) Zbl 0952.35071 Appl. Math. Lett. 12, No. 6, 123-127 (1999). MSC: 35L65 35L45 PDFBibTeX XMLCite \textit{D. Amadori} and \textit{G. Guerra}, Appl. Math. Lett. 12, No. 6, 123--127 (1999; Zbl 0952.35071) Full Text: DOI
Katsaounis, T.; Levy, D. A modified structured central scheme for 2D hyperbolic conservation laws. (English) Zbl 0941.65094 Appl. Math. Lett. 12, No. 6, 89-96 (1999). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{T. Katsaounis} and \textit{D. Levy}, Appl. Math. Lett. 12, No. 6, 89--96 (1999; Zbl 0941.65094) Full Text: DOI
Tian, Bo Report on new similarity reductions of a variable-coefficient sine-Gordon-type equation. (English) Zbl 1076.35539 Appl. Math. Lett. 11, No. 1, 63-64 (1998). MSC: 35Q53 37K05 35L70 PDFBibTeX XMLCite \textit{B. Tian}, Appl. Math. Lett. 11, No. 1, 63--64 (1998; Zbl 1076.35539) Full Text: DOI
Kim, N.; Debnath, L. Variational principle for nonlinear Rossby waves and conservation laws. (English) Zbl 0953.76014 Appl. Math. Lett. 11, No. 5, 103-108 (1998). MSC: 76B65 49S05 PDFBibTeX XMLCite \textit{N. Kim} and \textit{L. Debnath}, Appl. Math. Lett. 11, No. 5, 103--108 (1998; Zbl 0953.76014) Full Text: DOI
Liu, Hailiang; Wang, Jinghua; Yang, Tong Existence of the discrete travelling waves for a relaxing scheme. (English) Zbl 0885.65098 Appl. Math. Lett. 10, No. 3, 117-122 (1997). MSC: 65M06 35L65 35L60 PDFBibTeX XMLCite \textit{H. Liu} et al., Appl. Math. Lett. 10, No. 3, 117--122 (1997; Zbl 0885.65098) Full Text: DOI
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Chae, D.; Dubovskiĭ, Pavel A connection between scalar conservation laws and infinite linear systems of PDE’s. (English) Zbl 0834.35082 Appl. Math. Lett. 8, No. 5, 21-25 (1995). MSC: 35L65 35R20 35A07 PDFBibTeX XMLCite \textit{D. Chae} and \textit{P. Dubovskiĭ}, Appl. Math. Lett. 8, No. 5, 21--25 (1995; Zbl 0834.35082) Full Text: DOI
Freistühler, H. The persistence of ideal shock waves. (English) Zbl 0811.35078 Appl. Math. Lett. 7, No. 6, 7-11 (1994). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{H. Freistühler}, Appl. Math. Lett. 7, No. 6, 7--11 (1994; Zbl 0811.35078) Full Text: DOI
Heibig, Arnaud Entropy estimates for conservation laws. (English) Zbl 0822.35093 Appl. Math. Lett. 6, No. 5, 93-97 (1993). MSC: 35L65 35L67 PDFBibTeX XMLCite \textit{A. Heibig}, Appl. Math. Lett. 6, No. 5, 93--97 (1993; Zbl 0822.35093) Full Text: DOI
El-Sherbiny, H. M. Conservation laws of a class of differential equations. II. (English) Zbl 0787.35087 Appl. Math. Lett. 6, No. 4, 99-103 (1993). MSC: 35Q53 35L65 PDFBibTeX XMLCite \textit{H. M. El-Sherbiny}, Appl. Math. Lett. 6, No. 4, 99--103 (1993; Zbl 0787.35087) Full Text: DOI
Peng, Yue-Jun; Serre, Denis Non-consistency of Glimm’s scheme for the elastic string system. (Non-consistance du schéma de Glimm pour le système des câbles élastiques.) (French) Zbl 0769.35039 Appl. Math. Lett. 5, No. 5, 35-38 (1992). MSC: 35L65 65M99 65N99 65M12 74K05 35L45 PDFBibTeX XMLCite \textit{Y.-J. Peng} and \textit{D. Serre}, Appl. Math. Lett. 5, No. 5, 35--38 (1992; Zbl 0769.35039) Full Text: DOI
Kan, Pui Tak Nonstrictly hyperbolic conservation laws. (English) Zbl 0735.35093 Appl. Math. Lett. 4, No. 4, 83-87 (1991). MSC: 35L65 47J25 PDFBibTeX XMLCite \textit{P. T. Kan}, Appl. Math. Lett. 4, No. 4, 83--87 (1991; Zbl 0735.35093) Full Text: DOI
Toro, E. F. A CFL condition for characteristic based methods. (English) Zbl 0705.65071 Appl. Math. Lett. 2, No. 1, 57-60 (1989). MSC: 65M25 35L65 PDFBibTeX XMLCite \textit{E. F. Toro}, Appl. Math. Lett. 2, No. 1, 57--60 (1989; Zbl 0705.65071) Full Text: DOI
Ungar, Abraham A. The Thomas rotation formalism underlying a nonassociative group structure for relativistic velocities. (English) Zbl 0706.20047 Appl. Math. Lett. 1, No. 4, 403-405 (1988). MSC: 20N05 22E43 83A05 83C40 17A99 PDFBibTeX XMLCite \textit{A. A. Ungar}, Appl. Math. Lett. 1, No. 4, 403--405 (1988; Zbl 0706.20047) Full Text: DOI