Wang, Haifeng; Zhang, Yufeng Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations. (English) Zbl 1504.35500 J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023). MSC: 35Q55 35Q41 35Q15 37K10 37K15 35C08 35B40 35P25 17B81 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023; Zbl 1504.35500) Full Text: DOI
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
Hou, Baohui; Liang, Dong Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations. (English) Zbl 1459.65144 J. Comput. Appl. Math. 386, Article ID 113227, 26 p. (2021). MSC: 65M06 65M12 65M15 35C08 37K06 35R11 PDFBibTeX XMLCite \textit{B. Hou} and \textit{D. Liang}, J. Comput. Appl. Math. 386, Article ID 113227, 26 p. (2021; Zbl 1459.65144) Full Text: DOI
Cano, B.; Durán, A. On nonparaxial nonlinear Schrödinger-type equations. (English) Zbl 1436.65146 J. Comput. Appl. Math. 373, Article ID 112163, 16 p. (2020). MSC: 65M70 37K06 65P10 78A60 35Q55 35A01 35A02 PDFBibTeX XMLCite \textit{B. Cano} and \textit{A. Durán}, J. Comput. Appl. Math. 373, Article ID 112163, 16 p. (2020; Zbl 1436.65146) Full Text: DOI arXiv
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
Xian, Da-Quan; Jiang, Ying; Kang, Xiao-Rong Consistent KdV expansion method and its applications to the KP equation. (English) Zbl 1428.35472 J. Comput. Appl. Math. 366, Article ID 112423, 7 p. (2020). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{D.-Q. Xian} et al., J. Comput. Appl. Math. 366, Article ID 112423, 7 p. (2020; Zbl 1428.35472) Full Text: DOI
Bruzón, M. S.; Márquez, A. P.; Garrido, T. M.; Recio, E.; de la Rosa, R. Conservation laws for a generalized seventh order KdV equation. (English) Zbl 1433.35331 J. Comput. Appl. Math. 354, 682-688 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35Q51 37K10 37K40 22E30 34C14 58J20 PDFBibTeX XMLCite \textit{M. S. Bruzón} et al., J. Comput. Appl. Math. 354, 682--688 (2019; Zbl 1433.35331) Full Text: DOI
Brugnano, Luigi; Gurioli, Gianmarco; Sun, Yajuan Energy-conserving Hamiltonian boundary value methods for the numerical solution of the Korteweg-de Vries equation. (English) Zbl 1414.65024 J. Comput. Appl. Math. 351, 117-135 (2019). Reviewer: Anouar Ben Mabrouk (Sousse) MSC: 65M70 65M60 35Q35 35C08 37K40 65L06 65L12 PDFBibTeX XMLCite \textit{L. Brugnano} et al., J. Comput. Appl. Math. 351, 117--135 (2019; Zbl 1414.65024) Full Text: DOI
Mukaihira, Atsushi; Tsuboi, Yoshimasa DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems. (English) Zbl 1406.37055 J. Comput. Appl. Math. 347, 273-295 (2019). MSC: 37K20 42C05 37K10 33D45 65F15 35Q55 37K35 41A21 PDFBibTeX XMLCite \textit{A. Mukaihira} and \textit{Y. Tsuboi}, J. Comput. Appl. Math. 347, 273--295 (2019; Zbl 1406.37055) Full Text: DOI
Liu, Hanze; Sang, Bo; Xin, Xiangpeng; Liu, Xiqiang CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations. (English) Zbl 1405.37080 J. Comput. Appl. Math. 345, 127-134 (2019). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{H. Liu} et al., J. Comput. Appl. Math. 345, 127--134 (2019; Zbl 1405.37080) Full Text: DOI
Moore, Brian E. Multi-conformal-symplectic PDEs and discretizations. (English) Zbl 1364.65169 J. Comput. Appl. Math. 323, 1-15 (2017). MSC: 65M06 37L50 PDFBibTeX XMLCite \textit{B. E. Moore}, J. Comput. Appl. Math. 323, 1--15 (2017; Zbl 1364.65169) Full Text: DOI
Liu, Hanze; Li, Jibin Symmetry reductions, dynamical behavior and exact explicit solutions to the Gordon types of equations. (English) Zbl 1302.37034 J. Comput. Appl. Math. 257, 144-156 (2014). MSC: 37K05 37K50 34C37 35C05 35C07 PDFBibTeX XMLCite \textit{H. Liu} and \textit{J. Li}, J. Comput. Appl. Math. 257, 144--156 (2014; Zbl 1302.37034) Full Text: DOI
Chen, Yaming; Song, Songhe; Zhu, Huajun The multi-symplectic Fourier pseudospectral method for solving two-dimensional Hamiltonian PDEs. (English) Zbl 1231.65173 J. Comput. Appl. Math. 236, No. 6, 1354-1369 (2011). MSC: 65M70 65M20 37K10 65P10 35Q53 37M15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 236, No. 6, 1354--1369 (2011; Zbl 1231.65173) Full Text: DOI
Aydın, A.; Karasözen, B. Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. (English) Zbl 1220.65176 J. Comput. Appl. Math. 235, No. 16, 4770-4779 (2011). MSC: 65P10 37K05 37M15 37K40 65L06 35Q55 PDFBibTeX XMLCite \textit{A. Aydın} and \textit{B. Karasözen}, J. Comput. Appl. Math. 235, No. 16, 4770--4779 (2011; Zbl 1220.65176) Full Text: DOI
Chow, K. W.; Ng, T. W. Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind. (English) Zbl 1216.35133 J. Comput. Appl. Math. 235, No. 13, 3825-3830 (2011). MSC: 35Q55 35Q60 37K10 35B10 PDFBibTeX XMLCite \textit{K. W. Chow} and \textit{T. W. Ng}, J. Comput. Appl. Math. 235, No. 13, 3825--3830 (2011; Zbl 1216.35133) Full Text: DOI
Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro A self-adaptive moving mesh method for the Camassa-Holm equation. (English) Zbl 1201.65155 J. Comput. Appl. Math. 235, No. 1, 229-243 (2010). MSC: 65M06 35Q35 35Q51 65M20 37K40 PDFBibTeX XMLCite \textit{B.-F. Feng} et al., J. Comput. Appl. Math. 235, No. 1, 229--243 (2010; Zbl 1201.65155) Full Text: DOI arXiv
Chiu, Pao-Hsiung; Lee, Long; Sheu, Tony W. H. A sixth-order dual preserving algorithm for the Camassa-Holm equation. (English) Zbl 1185.65185 J. Comput. Appl. Math. 233, No. 11, 2767-2778 (2010). MSC: 65M70 35Q35 65L06 65P10 37M15 37K10 PDFBibTeX XMLCite \textit{P.-H. Chiu} et al., J. Comput. Appl. Math. 233, No. 11, 2767--2778 (2010; Zbl 1185.65185) Full Text: DOI
Yamamoto, Y.; Nagase, T.; Ohmiya, M. Appell’s lemma and conservation laws of KdV equation. (English) Zbl 1180.35470 J. Comput. Appl. Math. 233, No. 6, 1612-1618 (2010). MSC: 35Q53 37K05 37K10 PDFBibTeX XMLCite \textit{Y. Yamamoto} et al., J. Comput. Appl. Math. 233, No. 6, 1612--1618 (2010; Zbl 1180.35470) Full Text: DOI
Li, Xin-Yue; Zhang, Yuan-Qing; Zhao, Qiu-Lan Positive and negative integrable hierarchies, associated conservation laws and Darboux transformation. (English) Zbl 1184.37055 J. Comput. Appl. Math. 233, No. 4, 1096-1107 (2009). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 PDFBibTeX XMLCite \textit{X.-Y. Li} et al., J. Comput. Appl. Math. 233, No. 4, 1096--1107 (2009; Zbl 1184.37055) Full Text: DOI
Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav On the ADI method for Sylvester equations. (English) Zbl 1176.65050 J. Comput. Appl. Math. 233, No. 4, 1035-1045 (2009). MSC: 65F30 15A24 40C05 37L99 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Appl. Math. 233, No. 4, 1035--1045 (2009; Zbl 1176.65050) Full Text: DOI
Chen, Aiyong; Huang, Wentao; Li, Jibin Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation. (English) Zbl 1167.35457 J. Comput. Appl. Math. 230, No. 2, 559-569 (2009). MSC: 35Q53 65Z05 35C05 37K10 PDFBibTeX XMLCite \textit{A. Chen} et al., J. Comput. Appl. Math. 230, No. 2, 559--569 (2009; Zbl 1167.35457) Full Text: DOI
Borhanifar, A.; Kabir, M. M. New periodic and soliton solutions by application of exp-function method for nonlinear evolution equations. (English) Zbl 1166.65050 J. Comput. Appl. Math. 229, No. 1, 158-167 (2009). MSC: 65M70 35Q53 37K10 35Q51 PDFBibTeX XMLCite \textit{A. Borhanifar} and \textit{M. M. Kabir}, J. Comput. Appl. Math. 229, No. 1, 158--167 (2009; Zbl 1166.65050) Full Text: DOI
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
El-Kabeir, S. M. M.; El-Hakiem, M. A.; Rashad, A. M. Lie group analysis of unsteady MHD three dimensional by natural convection from an inclined stretching surface saturated porous medium. (English) Zbl 1144.76058 J. Comput. Appl. Math. 213, No. 2, 582-603 (2008). MSC: 76W05 37L20 65Z05 76D05 PDFBibTeX XMLCite \textit{S. M. M. El-Kabeir} et al., J. Comput. Appl. Math. 213, No. 2, 582--603 (2008; Zbl 1144.76058) Full Text: DOI
Bessaih, H.; Schurz, H. Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with \(H\)-regular noise. (English) Zbl 1136.60042 J. Comput. Appl. Math. 208, No. 2, 354-361 (2007). Reviewer: Dirk Blömker (Augsburg) MSC: 60H15 34F05 35G25 37H10 37L65 60H35 60H25 PDFBibTeX XMLCite \textit{H. Bessaih} and \textit{H. Schurz}, J. Comput. Appl. Math. 208, No. 2, 354--361 (2007; Zbl 1136.60042) Full Text: DOI
Ohmiya, M.; Ohkura, H.; Okaue, D.; Saitoh, D.; Shiba, T. Benjamin-Feir type instability of sine-Gordon equation and spectrum of Lamé equation. (English) Zbl 1152.35476 J. Comput. Appl. Math. 207, No. 2, 345-351 (2007). MSC: 35Q53 33E10 37K45 PDFBibTeX XMLCite \textit{M. Ohmiya} et al., J. Comput. Appl. Math. 207, No. 2, 345--351 (2007; Zbl 1152.35476) Full Text: DOI
Wang, Hongyan; Hu, Xingbiao; Gegenhasi 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair. (English) Zbl 1172.37028 J. Comput. Appl. Math. 202, No. 1, 133-143 (2007). MSC: 37K60 35Q53 37K35 39A20 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Appl. Math. 202, No. 1, 133--143 (2007; Zbl 1172.37028) Full Text: DOI
Gekhtman, Michael; Kasman, Alex Tau-functions, Grassmannians and rank one conditions. (English) Zbl 1172.37023 J. Comput. Appl. Math. 202, No. 1, 80-87 (2007). MSC: 37K10 35Q53 37K20 39A20 81R12 PDFBibTeX XMLCite \textit{M. Gekhtman} and \textit{A. Kasman}, J. Comput. Appl. Math. 202, No. 1, 80--87 (2007; Zbl 1172.37023) Full Text: DOI arXiv
Casian, Luis; Kodama, Yuji Singular structure of Toda lattices and cohomology of certain compact Lie groups. (English) Zbl 1172.37025 J. Comput. Appl. Math. 202, No. 1, 56-79 (2007). MSC: 37K30 33D67 37K60 17B20 17B80 PDFBibTeX XMLCite \textit{L. Casian} and \textit{Y. Kodama}, J. Comput. Appl. Math. 202, No. 1, 56--79 (2007; Zbl 1172.37025) Full Text: DOI arXiv
Bloch, Anthony M.; Gekhtman, Michael I. Lie algebraic aspects of the finite nonperiodic Toda flows. (English) Zbl 1120.37044 J. Comput. Appl. Math. 202, No. 1, 3-25 (2007). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37K10 37K60 37K30 PDFBibTeX XMLCite \textit{A. M. Bloch} and \textit{M. I. Gekhtman}, J. Comput. Appl. Math. 202, No. 1, 3--25 (2007; Zbl 1120.37044) Full Text: DOI
Hiraoka, Yasuaki; Ogawa, Toshiyuki An efficient estimate based on FFT in topological verification method. (English) Zbl 1109.65110 J. Comput. Appl. Math. 199, No. 2, 238-244 (2007). MSC: 65P30 37B30 35Q35 65M70 35B32 37K50 65T50 PDFBibTeX XMLCite \textit{Y. Hiraoka} and \textit{T. Ogawa}, J. Comput. Appl. Math. 199, No. 2, 238--244 (2007; Zbl 1109.65110) Full Text: DOI
Boutros, Youssef Z.; Abd-El-Malek, Mina B.; Badran, Nagwa A.; Hassan, Hossam S. Lie-group method for unsteady flows in a semi-infinite expanding or contracting pipe with injection or suction through a porous wall. (English) Zbl 1103.37058 J. Comput. Appl. Math. 197, No. 2, 465-494 (2006). Reviewer: Rodica Luca (Iaşi) MSC: 37N10 37L20 35B20 35Q30 76M60 PDFBibTeX XMLCite \textit{Y. Z. Boutros} et al., J. Comput. Appl. Math. 197, No. 2, 465--494 (2006; Zbl 1103.37058) Full Text: DOI
Yan, Xiang-Ping; Chu, Yan-Dong Stability and bifurcation analysis for a delayed Lotka–Volterra predator–prey system. (English) Zbl 1095.92071 J. Comput. Appl. Math. 196, No. 1, 198-210 (2006). MSC: 92D40 34K18 37L10 37L15 37N25 34K13 PDFBibTeX XMLCite \textit{X.-P. Yan} and \textit{Y.-D. Chu}, J. Comput. Appl. Math. 196, No. 1, 198--210 (2006; Zbl 1095.92071) Full Text: DOI
Khater, A. H.; Callebaut, D. K.; Sayed, S. M. Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces. (English) Zbl 1093.35005 J. Comput. Appl. Math. 189, No. 1-2, 387-411 (2006). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35A30 58J90 58J35 53A05 35Q53 37K25 37K35 35Q51 PDFBibTeX XMLCite \textit{A. H. Khater} et al., J. Comput. Appl. Math. 189, No. 1--2, 387--411 (2006; Zbl 1093.35005) Full Text: DOI
Li, Xiaojun; Zhong, Chengkui Attractors for partly dissipative lattice dynamic systems in \(l^2\times l^2\). (English) Zbl 1061.37060 J. Comput. Appl. Math. 177, No. 1, 159-174 (2005). MSC: 37L60 37L30 PDFBibTeX XMLCite \textit{X. Li} and \textit{C. Zhong}, J. Comput. Appl. Math. 177, No. 1, 159--174 (2005; Zbl 1061.37060) Full Text: DOI
Frauendiener, J.; Klein, C. Hyperelliptic theta-functions and spectral methods. (English) Zbl 1052.65107 J. Comput. Appl. Math. 167, No. 1, 193-218 (2004). MSC: 65N35 65D20 35H10 37K15 33E30 33F05 PDFBibTeX XMLCite \textit{J. Frauendiener} and \textit{C. Klein}, J. Comput. Appl. Math. 167, No. 1, 193--218 (2004; Zbl 1052.65107) Full Text: DOI arXiv
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek Continued fractions and integrable systems. (English) Zbl 1021.37041 J. Comput. Appl. Math. 153, No. 1-2, 47-60 (2003). Reviewer: Simos Ichtiaroglou (Thessaloniki) MSC: 37K15 37K10 30B70 PDFBibTeX XMLCite \textit{R. Beals} et al., J. Comput. Appl. Math. 153, No. 1--2, 47--60 (2003; Zbl 1021.37041) Full Text: DOI
Khater, A. H.; Malfliet, W.; Callebaut, D. K.; Kamel, E. S. Travelling wave solutions of some classes of nonlinear evolution equations in \((1+1)\) and \((2+1)\) dimensions. (English) Zbl 0997.35078 J. Comput. Appl. Math. 140, No. 1-2, 469-477 (2002). MSC: 35Q53 37K40 35L90 PDFBibTeX XMLCite \textit{A. H. Khater} et al., J. Comput. Appl. Math. 140, No. 1--2, 469--477 (2002; Zbl 0997.35078) Full Text: DOI
Mukaihira, Atsushi; Nakamura, Yoshimasa Schur flow for orthogonal polynomials on the unit circle and its integrable discretization. (English) Zbl 1005.37038 J. Comput. Appl. Math. 139, No. 1, 75-94 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 33C47 35Q53 41A21 PDFBibTeX XMLCite \textit{A. Mukaihira} and \textit{Y. Nakamura}, J. Comput. Appl. Math. 139, No. 1, 75--94 (2002; Zbl 1005.37038) Full Text: DOI
Sorokin, Vladimir; Van Iseghem, Jeannette Matrix Hermite-Padé problem and dynamical systems. (English) Zbl 0984.37023 J. Comput. Appl. Math. 122, No. 1-2, 275-295 (2000). Reviewer: Vladimir Răsvan (Craiova) MSC: 37C30 41A21 37K10 34A34 PDFBibTeX XMLCite \textit{V. Sorokin} and \textit{J. Van Iseghem}, J. Comput. Appl. Math. 122, No. 1--2, 275--295 (2000; Zbl 0984.37023) Full Text: DOI
Abd-el-Malek, Mina B.; El-Mansi, Samy M. A. Group theoretic methods applied to Burgers’ equation. (English) Zbl 0942.35157 J. Comput. Appl. Math. 115, No. 1-2, 1-12 (2000). MSC: 35Q53 37K30 22E05 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} and \textit{S. M. A. El-Mansi}, J. Comput. Appl. Math. 115, No. 1--2, 1--12 (2000; Zbl 0942.35157) Full Text: DOI
Lupo, D.; Micheletti, A. M. Multiple solutions of Hamiltonian systems via limit relative category. (English) Zbl 0817.58007 J. Comput. Appl. Math. 52, No. 1-3, 325-335 (1994). Reviewer: A.Szulkin (Stockholm) MSC: 58E05 37J99 58E30 34C25 PDFBibTeX XMLCite \textit{D. Lupo} and \textit{A. M. Micheletti}, J. Comput. Appl. Math. 52, No. 1--3, 325--335 (1994; Zbl 0817.58007) Full Text: DOI
Schmidt, Dieter Versal normal form of the Hamiltonian function of the restricted problem of three bodies near \({\mathcal L}_ 4\). (English) Zbl 0815.58021 J. Comput. Appl. Math. 52, No. 1-3, 155-176 (1994). Reviewer: Li Jibin (Kunming) MSC: 37G05 37K35 37G99 37J99 PDFBibTeX XMLCite \textit{D. Schmidt}, J. Comput. Appl. Math. 52, No. 1--3, 155--176 (1994; Zbl 0815.58021) Full Text: DOI