Ma, Caochuan Global well-posedness and optimal decay estimate for the incompressible porous medium equation near a nontrivial equilibrium. (English) Zbl 1511.35282 Appl. Math. Comput. 440, Article ID 127680, 5 p. (2023). MSC: 35Q35 35Q53 35B35 76B03 76B70 PDFBibTeX XMLCite \textit{C. Ma}, Appl. Math. Comput. 440, Article ID 127680, 5 p. (2023; Zbl 1511.35282) Full Text: DOI
Prins, Peter J.; Wahls, Sander Reliable computation of the eigenvalues of the discrete KdV spectrum. (English) Zbl 1510.35272 Appl. Math. Comput. 433, Article ID 127361, 20 p. (2022). MSC: 35Q53 35P30 65L15 PDFBibTeX XMLCite \textit{P. J. Prins} and \textit{S. Wahls}, Appl. Math. Comput. 433, Article ID 127361, 20 p. (2022; Zbl 1510.35272) Full Text: DOI
Zhang, Shengliang A meshless multi-symplectic local radial basis function collocation scheme for the “good” Boussinesq equation. (English) Zbl 1510.65270 Appl. Math. Comput. 431, Article ID 127297, 11 p. (2022). MSC: 65M70 35Q53 65D12 65C30 65M15 PDFBibTeX XMLCite \textit{S. Zhang}, Appl. Math. Comput. 431, Article ID 127297, 11 p. (2022; Zbl 1510.65270) Full Text: DOI
Sun, Ying-ying; Sun, Wan-yi An update of a Bäcklund transformation and its applications to the Boussinesq system. (English) Zbl 1510.37110 Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022). MSC: 37K35 37K10 35Q53 35A22 35C08 PDFBibTeX XMLCite \textit{Y.-y. Sun} and \textit{W.-y. Sun}, Appl. Math. Comput. 421, Article ID 126964, 14 p. (2022; Zbl 1510.37110) Full Text: DOI
Liu, Hong-Zhun A modification to the first integral method and its applications. (English) Zbl 1510.35271 Appl. Math. Comput. 419, Article ID 126855, 13 p. (2022). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{H.-Z. Liu}, Appl. Math. Comput. 419, Article ID 126855, 13 p. (2022; Zbl 1510.35271) Full Text: DOI
Ling, Xing-qian; Zhang, Wei-guo Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation. (English) Zbl 1510.35269 Appl. Math. Comput. 405, Article ID 126249, 10 p. (2021). MSC: 35Q53 35Q51 37K45 PDFBibTeX XMLCite \textit{X.-q. Ling} and \textit{W.-g. Zhang}, Appl. Math. Comput. 405, Article ID 126249, 10 p. (2021; Zbl 1510.35269) Full Text: DOI
Devi, Munesh; Yadav, Shalini; Arora, Rajan Optimal system, invariance analysis of fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation using Lie symmetry approach. (English) Zbl 1510.35296 Appl. Math. Comput. 404, Article ID 126230, 15 p. (2021). MSC: 35Q55 35Q53 PDFBibTeX XMLCite \textit{M. Devi} et al., Appl. Math. Comput. 404, Article ID 126230, 15 p. (2021; Zbl 1510.35296) Full Text: DOI
Zhang, Run-Fa; Li, Ming-Chu; Albishari, Mohammed; Zheng, Fu-Chang; Lan, Zhong-Zhou Generalized lump solutions, classical lump solutions and rogue waves of the (2+1)-dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada-like equation. (English) Zbl 1510.35282 Appl. Math. Comput. 403, Article ID 126201, 10 p. (2021). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{R.-F. Zhang} et al., Appl. Math. Comput. 403, Article ID 126201, 10 p. (2021; Zbl 1510.35282) Full Text: DOI
Tchakoutio Nguetcho, Aurélien Serge; Nkeumaleu, Guy Merlin; Bilbault, Jean Marie Anharmonic effects on the dynamic behavior’s of Klein Gordon model’s. (English) Zbl 1510.35275 Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021). MSC: 35Q53 37K60 35C08 PDFBibTeX XMLCite \textit{A. S. Tchakoutio Nguetcho} et al., Appl. Math. Comput. 403, Article ID 126136, 15 p. (2021; Zbl 1510.35275) Full Text: DOI
Özkan, Yeşim Sağlam; Yaşar, Emrullah Breather-type and multi-wave solutions for \(( 2 + 1 )\)-dimensional nonlocal Gardner equation. (English) Zbl 1508.35132 Appl. Math. Comput. 390, Article ID 125663, 8 p. (2021). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{Y. S. Özkan} and \textit{E. Yaşar}, Appl. Math. Comput. 390, Article ID 125663, 8 p. (2021; Zbl 1508.35132) Full Text: DOI
Babadjanova, Aygul; Kriecherbauer, Thomas; Urazboev, Gayrat The periodic solutions of the discrete modified KdV equation with a self-consistent source. (English) Zbl 1475.35303 Appl. Math. Comput. 376, Article ID 125136, 10 p. (2020). MSC: 35Q53 35B10 PDFBibTeX XMLCite \textit{A. Babadjanova} et al., Appl. Math. Comput. 376, Article ID 125136, 10 p. (2020; Zbl 1475.35303) Full Text: DOI
Kudryashov, Nikolay A. Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. (English) Zbl 1433.35367 Appl. Math. Comput. 371, Article ID 124972, 11 p. (2020). MSC: 35Q55 35C08 78A60 35Q53 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 371, Article ID 124972, 11 p. (2020; Zbl 1433.35367) Full Text: DOI
Shi, Xiangyu; Lu, Linzhang A new two-grid nonconforming mixed finite element method for nonlinear Benjamin-Bona-Mahoney equation. (English) Zbl 1433.65223 Appl. Math. Comput. 371, Article ID 124943, 13 p. (2020). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{X. Shi} and \textit{L. Lu}, Appl. Math. Comput. 371, Article ID 124943, 13 p. (2020; Zbl 1433.65223) Full Text: DOI
GaziKarakoc, Seydi Battal; Ali, Khalid K. Analytical and computational approaches on solitary wave solutions of the generalized equal width equation. (English) Zbl 1433.65292 Appl. Math. Comput. 371, Article ID 124933, 17 p. (2020). MSC: 65N30 65D07 35Q53 PDFBibTeX XMLCite \textit{S. B. GaziKarakoc} and \textit{K. K. Ali}, Appl. Math. Comput. 371, Article ID 124933, 17 p. (2020; Zbl 1433.65292) Full Text: DOI
Guan, Xue; Liu, Wenjun; Zhou, Qin; Biswas, Anjan Some lump solutions for a generalized (3+1)-dimensional Kadomtsev-Petviashvili equation. (English) Zbl 1433.35338 Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020). MSC: 35Q53 35C08 35C05 35Q51 PDFBibTeX XMLCite \textit{X. Guan} et al., Appl. Math. Comput. 366, Article ID 124757, 9 p. (2020; Zbl 1433.35338) Full Text: DOI
Kim, Philsu; Kim, Dojin Convergence and stability of a BSLM for advection-diffusion models with Dirichlet boundary conditions. (English) Zbl 1433.65181 Appl. Math. Comput. 366, Article ID 124744, 17 p. (2020). MSC: 65M12 35Q53 65M25 PDFBibTeX XMLCite \textit{P. Kim} and \textit{D. Kim}, Appl. Math. Comput. 366, Article ID 124744, 17 p. (2020; Zbl 1433.65181) Full Text: DOI
Zhang, Ying-Nan; He, Hong-Qian; Yu, Guo-Fu; Dong, Yi-Jun Integrable discretizations and numerical simulation for a modified coupled integrable dispersionless equation. (English) Zbl 1433.35350 Appl. Math. Comput. 364, Article ID 124666, 13 p. (2020). MSC: 35Q53 65M06 37K10 35C08 37K40 PDFBibTeX XMLCite \textit{Y.-N. Zhang} et al., Appl. Math. Comput. 364, Article ID 124666, 13 p. (2020; Zbl 1433.35350) Full Text: DOI
Veeresha, P.; Prakasha, D. G.; Kumar, Devendra An efficient technique for nonlinear time-fractional Klein-Fock-Gordon equation. (English) Zbl 1433.35454 Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020). MSC: 35R11 35Q53 PDFBibTeX XMLCite \textit{P. Veeresha} et al., Appl. Math. Comput. 364, Article ID 124637, 15 p. (2020; Zbl 1433.35454) Full Text: DOI
Zhang, Bei; Xia, Yonghui; Zhu, Wenjing; Bai, Yuzhen Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation. (English) Zbl 1433.35348 Appl. Math. Comput. 363, Article ID 124576, 26 p. (2019). MSC: 35Q53 35L71 35B10 35C07 35C08 37K40 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Comput. 363, Article ID 124576, 26 p. (2019; Zbl 1433.35348) Full Text: DOI
Shen, Jinye; Sun, Zhi-zhong; Cao, Wanrong A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation. (English) Zbl 1429.65199 Appl. Math. Comput. 361, 752-765 (2019). MSC: 65M06 35Q53 35R11 65M12 PDFBibTeX XMLCite \textit{J. Shen} et al., Appl. Math. Comput. 361, 752--765 (2019; Zbl 1429.65199) Full Text: DOI
Liu, Wenjun; Zhang, Yujia; Wazwaz, Abdul Majid; Zhou, Qin Analytic study on triple-s, triple-triangle structure interactions for solitons in inhomogeneous multi-mode fiber. (English) Zbl 1428.81079 Appl. Math. Comput. 361, 325-331 (2019). MSC: 81Q05 35Q53 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Math. Comput. 361, 325--331 (2019; Zbl 1428.81079) Full Text: DOI
Başhan, Ali A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: finite difference method and differential quadrature method. (English) Zbl 1429.65234 Appl. Math. Comput. 360, 42-57 (2019). MSC: 65M70 35Q53 35Q51 PDFBibTeX XMLCite \textit{A. Başhan}, Appl. Math. Comput. 360, 42--57 (2019; Zbl 1429.65234) Full Text: DOI
Yang, Xiaojia; Ge, Yongbin; Zhang, Lin A class of high-order compact difference schemes for solving the Burgers’ equations. (English) Zbl 1429.65204 Appl. Math. Comput. 358, 394-417 (2019). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Math. Comput. 358, 394--417 (2019; Zbl 1429.65204) Full Text: DOI
Martin-Vergara, Francisca; Rus, Francisco; Villatoro, Francisco R. Padé numerical schemes for the sine-Gordon equation. (English) Zbl 1429.65192 Appl. Math. Comput. 358, 232-243 (2019). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{F. Martin-Vergara} et al., Appl. Math. Comput. 358, 232--243 (2019; Zbl 1429.65192) Full Text: DOI
Fu, Fangyan; Li, Jiao; Lin, Jun; Guan, Yanjin; Gao, Fuzheng; Zhang, Cunsheng; Chen, Liang Moving least squares particle hydrodynamics method for Burgers’ equation. (English) Zbl 1429.65257 Appl. Math. Comput. 356, 362-378 (2019). MSC: 65M75 35Q53 PDFBibTeX XMLCite \textit{F. Fu} et al., Appl. Math. Comput. 356, 362--378 (2019; Zbl 1429.65257) Full Text: DOI
Kong, Desong; Xu, Yufeng; Zheng, Zhoushun A hybrid numerical method for the KdV equation by finite difference and sinc collocation method. (English) Zbl 1429.65245 Appl. Math. Comput. 355, 61-72 (2019). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{D. Kong} et al., Appl. Math. Comput. 355, 61--72 (2019; Zbl 1429.65245) Full Text: DOI
Verma, Pallavi; Kaur, Lakhveer Integrability, bilinearization and analytic study of new form of \((3 + 1)\)-dimensional B-type Kadomstev-Petviashvili (BKP)-Boussinesq equation. (English) Zbl 1428.35468 Appl. Math. Comput. 346, 879-886 (2019). MSC: 35Q53 37K10 35Q51 PDFBibTeX XMLCite \textit{P. Verma} and \textit{L. Kaur}, Appl. Math. Comput. 346, 879--886 (2019; Zbl 1428.35468) Full Text: DOI
Gowrisankar, S.; Natesan, Srinivasan An efficient robust numerical method for singularly perturbed Burgers’ equation. (English) Zbl 1429.65182 Appl. Math. Comput. 346, 385-394 (2019). MSC: 65M06 35B25 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Gowrisankar} and \textit{S. Natesan}, Appl. Math. Comput. 346, 385--394 (2019; Zbl 1429.65182) Full Text: DOI
Hong, Qi; Gong, Yuezheng; Lv, Zhongquan Linear and Hamiltonian-conserving Fourier pseudo-spectral schemes for the Camassa-Holm equation. (English) Zbl 1429.65241 Appl. Math. Comput. 346, 86-95 (2019). MSC: 65M70 35Q53 65M12 PDFBibTeX XMLCite \textit{Q. Hong} et al., Appl. Math. Comput. 346, 86--95 (2019; Zbl 1429.65241) Full Text: DOI
Kudryashov, Nikolay A. Exact solutions of the equation for surface waves in a convecting fluid. (English) Zbl 1428.35454 Appl. Math. Comput. 344-345, 97-106 (2019). MSC: 35Q53 35C05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 344--345, 97--106 (2019; Zbl 1428.35454) Full Text: DOI
Zhang, Xiaohua; Zhang, Ping A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation. (English) Zbl 1429.65208 Appl. Math. Comput. 339, 535-545 (2018). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{P. Zhang}, Appl. Math. Comput. 339, 535--545 (2018; Zbl 1429.65208) Full Text: DOI
Ozyapici, Ali; Bilgehan, Bülent Generalized system of trial equation methods and their applications to biological systems. (English) Zbl 1427.35240 Appl. Math. Comput. 338, 722-732 (2018). MSC: 35Q53 35C07 35Q51 92D30 92D25 PDFBibTeX XMLCite \textit{A. Ozyapici} and \textit{B. Bilgehan}, Appl. Math. Comput. 338, 722--732 (2018; Zbl 1427.35240) Full Text: DOI
Wang, Jiao; Xu, Tianzhou; Wang, Gangwei Numerical algorithm for time-fractional Sawada-Kotera equation and Itô equation with Bernstein polynomials. (English) Zbl 1427.65306 Appl. Math. Comput. 338, 1-11 (2018). MSC: 65M70 35R11 65M15 35Q53 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 338, 1--11 (2018; Zbl 1427.65306) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander A split step Fourier/discontinuous Galerkin scheme for the Kadomtsev-Petviashvili equation. (English) Zbl 1427.65285 Appl. Math. Comput. 334, 311-325 (2018). MSC: 65M70 65M25 65M60 35Q53 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, Appl. Math. Comput. 334, 311--325 (2018; Zbl 1427.65285) Full Text: DOI arXiv
Li, Hui; Li, Ye-Zhou Meromorphic exact solutions of two extended (3+1)-dimensional Jimbo-Miwa equations. (English) Zbl 1427.35235 Appl. Math. Comput. 333, 369-375 (2018). MSC: 35Q53 30D35 PDFBibTeX XMLCite \textit{H. Li} and \textit{Y.-Z. Li}, Appl. Math. Comput. 333, 369--375 (2018; Zbl 1427.35235) Full Text: DOI
Hu, Bei-Bei; Xia, Tie-Cheng; Ma, Wen-Xiu Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line. (English) Zbl 1427.35232 Appl. Math. Comput. 332, 148-159 (2018). MSC: 35Q53 35Q15 PDFBibTeX XMLCite \textit{B.-B. Hu} et al., Appl. Math. Comput. 332, 148--159 (2018; Zbl 1427.35232) Full Text: DOI
Pereira, Enrique; Suazo, Erwin; Trespalacios, Jessica Riccati-Ermakov systems and explicit solutions for variable coefficient reaction-diffusion equations. (English) Zbl 1427.35127 Appl. Math. Comput. 329, 278-296 (2018). MSC: 35K57 35K55 35B40 35K58 35Q53 PDFBibTeX XMLCite \textit{E. Pereira} et al., Appl. Math. Comput. 329, 278--296 (2018; Zbl 1427.35127) Full Text: DOI arXiv
Lu, Changna; Fu, Chen; Yang, Hongwei Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. (English) Zbl 1426.76721 Appl. Math. Comput. 327, 104-116 (2018). MSC: 76U65 35Q53 35C08 35Q35 35Q86 35R11 86A05 86A10 PDFBibTeX XMLCite \textit{C. Lu} et al., Appl. Math. Comput. 327, 104--116 (2018; Zbl 1426.76721) Full Text: DOI
Zhang, JiHong; Zheng, JunSheng; Gao, QinJiao Numerical solution of the Degasperis-Procesi equation by the cubic B-spline quasi-interpolation method. (English) Zbl 1427.65199 Appl. Math. Comput. 324, 218-227 (2018). MSC: 65M06 65D07 35Q53 PDFBibTeX XMLCite \textit{J. Zhang} et al., Appl. Math. Comput. 324, 218--227 (2018; Zbl 1427.65199) Full Text: DOI
Yang, Yanhong; Wang, Yushun; Song, Yongzhong A new local energy-preserving algorithm for the BBM equation. (English) Zbl 1427.65197 Appl. Math. Comput. 324, 119-130 (2018). MSC: 65M06 35Q53 65M12 65P10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 324, 119--130 (2018; Zbl 1427.65197) Full Text: DOI
Adams, Ronald; Mancas, Stefan C. Stability of solitary and cnoidal traveling wave solutions for a fifth order Korteweg-de Vries equation. (English) Zbl 1426.35196 Appl. Math. Comput. 321, 745-751 (2018). MSC: 35Q53 35B35 35C07 35C08 PDFBibTeX XMLCite \textit{R. Adams} and \textit{S. C. Mancas}, Appl. Math. Comput. 321, 745--751 (2018; Zbl 1426.35196) Full Text: DOI arXiv
Osman, M. S.; Wazwaz, Abdul-Majid An efficient algorithm to construct multi-soliton rational solutions of the \((2+ 1)\)-dimensional KdV equation with variable coefficients. (English) Zbl 1426.35204 Appl. Math. Comput. 321, 282-289 (2018). MSC: 35Q53 35C08 35Q51 PDFBibTeX XMLCite \textit{M. S. Osman} and \textit{A.-M. Wazwaz}, Appl. Math. Comput. 321, 282--289 (2018; Zbl 1426.35204) Full Text: DOI
Hajiketabi, M.; Abbasbandy, S.; Casas, F. The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. (English) Zbl 1427.65286 Appl. Math. Comput. 321, 223-243 (2018). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Hajiketabi} et al., Appl. Math. Comput. 321, 223--243 (2018; Zbl 1427.65286) Full Text: DOI
Du, Ming-Jing; Wang, Yu-Lan; Temuer, Chao-Lu; Tian, Dan A modified reproducing kernel method for solving Burgers’ equation arising from diffusive waves in fluid dynamics. (English) Zbl 1427.65318 Appl. Math. Comput. 315, 500-506 (2017). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{M.-J. Du} et al., Appl. Math. Comput. 315, 500--506 (2017; Zbl 1427.65318) Full Text: DOI
Vitanov, Nikolay K.; Dimitrova, Zlatinka I.; Ivanova, Tsvetelina I. On solitary wave solutions of a class of nonlinear partial differential equations based on the function \(1/ \cosh^n(\alpha x + \beta t)\). (English) Zbl 1426.35208 Appl. Math. Comput. 315, 372-380 (2017). MSC: 35Q53 35C07 35C08 PDFBibTeX XMLCite \textit{N. K. Vitanov} et al., Appl. Math. Comput. 315, 372--380 (2017; Zbl 1426.35208) Full Text: DOI arXiv
Sun, FengXin; Wang, JuFeng Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis. (English) Zbl 1427.65262 Appl. Math. Comput. 315, 54-69 (2017). MSC: 65M60 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{F. Sun} and \textit{J. Wang}, Appl. Math. Comput. 315, 54--69 (2017; Zbl 1427.65262) Full Text: DOI
Fei, Jinxi; Cao, Weiping; Ma, Zhengyi Nonlocal symmetries and explicit solutions for the Gardner equation. (English) Zbl 1426.35201 Appl. Math. Comput. 314, 293-298 (2017). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{J. Fei} et al., Appl. Math. Comput. 314, 293--298 (2017; Zbl 1426.35201) Full Text: DOI
Gao, Peng The stochastic Korteweg-de Vries equation on a bounded domain. (English) Zbl 1426.60087 Appl. Math. Comput. 310, 97-111 (2017). MSC: 60H15 35Q53 35R60 PDFBibTeX XMLCite \textit{P. Gao}, Appl. Math. Comput. 310, 97--111 (2017; Zbl 1426.60087) Full Text: DOI
Sinuvasan, R.; Tamizhmani, K. M.; Leach, P. G. L. Symmetries, travelling-wave and self-similar solutions of the Burgers hierarchy. (English) Zbl 1411.35239 Appl. Math. Comput. 303, 165-170 (2017). MSC: 35Q53 35A09 35A30 35B06 35C05 35C06 35C07 PDFBibTeX XMLCite \textit{R. Sinuvasan} et al., Appl. Math. Comput. 303, 165--170 (2017; Zbl 1411.35239) Full Text: DOI
Wang, Yu-Feng; Tian, Bo; Jiang, Yan Soliton fusion and fission in a generalized variable-coefficient fifth-order Korteweg-de Vries equation in fluids. (English) Zbl 1410.76058 Appl. Math. Comput. 292, 448-456 (2017). MSC: 76D33 35Q53 35C08 35Q51 PDFBibTeX XMLCite \textit{Y.-F. Wang} et al., Appl. Math. Comput. 292, 448--456 (2017; Zbl 1410.76058) Full Text: DOI
de la Rosa, R.; Gandarias, M. L.; Bruzón, M. S. On symmetries and conservation laws of a Gardner equation involving arbitrary functions. (English) Zbl 1410.35165 Appl. Math. Comput. 290, 125-134 (2016). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{R. de la Rosa} et al., Appl. Math. Comput. 290, 125--134 (2016; Zbl 1410.35165) Full Text: DOI
Tamsir, Mohammad; Srivastava, Vineet K.; Jiwari, Ram An algorithm based on exponential modified cubic B-spline differential quadrature method for nonlinear Burgers’ equation. (English) Zbl 1410.65414 Appl. Math. Comput. 290, 111-124 (2016). MSC: 65M99 35Q53 PDFBibTeX XMLCite \textit{M. Tamsir} et al., Appl. Math. Comput. 290, 111--124 (2016; Zbl 1410.65414) Full Text: DOI
Karakoç, S. Battal Gazi; Zeybek, Halil Solitary-wave solutions of the GRLW equation using septic B-spline collocation method. (English) Zbl 1410.65283 Appl. Math. Comput. 289, 159-171 (2016). MSC: 65L60 35C08 35Q53 41A15 76B25 PDFBibTeX XMLCite \textit{S. B. G. Karakoç} and \textit{H. Zeybek}, Appl. Math. Comput. 289, 159--171 (2016; Zbl 1410.65283) Full Text: DOI
Kudryashov, Nikolay A.; Ryabov, Pavel N. Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation. (English) Zbl 1410.35174 Appl. Math. Comput. 286, 171-177 (2016). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{P. N. Ryabov}, Appl. Math. Comput. 286, 171--177 (2016; Zbl 1410.35174) Full Text: DOI
Egidi, Nadaniela; Maponi, Pierluigi Artificial boundary conditions for the Burgers equation on the plane. (English) Zbl 1410.65370 Appl. Math. Comput. 286, 1-14 (2016). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{N. Egidi} and \textit{P. Maponi}, Appl. Math. Comput. 286, 1--14 (2016; Zbl 1410.65370) Full Text: DOI
Hammad, D. A.; El-Azab, M. S. Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation. (English) Zbl 1410.65395 Appl. Math. Comput. 285, 228-240 (2016). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{D. A. Hammad} and \textit{M. S. El-Azab}, Appl. Math. Comput. 285, 228--240 (2016; Zbl 1410.65395) Full Text: DOI
Wang, Xiu-Bin; Tian, Shou-Fu; Xua, Mei-Juan; Zhang, Tian-Tian On integrability and quasi-periodic wave solutions to a \((3+1)\)-dimensional generalized KdV-like model equation. (English) Zbl 1410.35158 Appl. Math. Comput. 283, 216-233 (2016). MSC: 35Q51 35B15 35Q53 37K10 PDFBibTeX XMLCite \textit{X.-B. Wang} et al., Appl. Math. Comput. 283, 216--233 (2016; Zbl 1410.35158) Full Text: DOI
Guo, Yan; Shi, Yu-feng; Li, Yi-min A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers’ equation. (English) Zbl 1410.65342 Appl. Math. Comput. 281, 172-185 (2016). MSC: 65M08 65M12 35Q53 PDFBibTeX XMLCite \textit{Y. Guo} et al., Appl. Math. Comput. 281, 172--185 (2016; Zbl 1410.65342) Full Text: DOI
Kudryashov, Nikolay A. On solutions of generalized modified Korteweg-de Vries equation of the fifth order with dissipation. (English) Zbl 1410.35171 Appl. Math. Comput. 280, 39-45 (2016). MSC: 35Q53 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 280, 39--45 (2016; Zbl 1410.35171) Full Text: DOI
Çiçek, Y.; Tanoǧlu, G. Strang splitting method for Burgers-Huxley equation. (English) Zbl 1410.65206 Appl. Math. Comput. 276, 454-467 (2016). MSC: 65J08 35Q53 PDFBibTeX XMLCite \textit{Y. Çiçek} and \textit{G. Tanoǧlu}, Appl. Math. Comput. 276, 454--467 (2016; Zbl 1410.65206) Full Text: DOI
Tu, Jian-Min; Tian, Shou-Fu; Xu, Mei-Juan; Zhang, Tian-Tian On Lie symmetries, optimal systems and explicit solutions to the Kudryashov-Sinelshchikov equation. (English) Zbl 1410.35157 Appl. Math. Comput. 275, 345-352 (2016). MSC: 35Q51 35A30 35Q53 PDFBibTeX XMLCite \textit{J.-M. Tu} et al., Appl. Math. Comput. 275, 345--352 (2016; Zbl 1410.35157) Full Text: DOI
Tracinà, R.; Bruzón, M. S.; Gandarias, M. L. On the nonlinear self-adjointness of a class of fourth-order evolution equations. (English) Zbl 1410.35186 Appl. Math. Comput. 275, 299-304 (2016). MSC: 35Q53 35C06 PDFBibTeX XMLCite \textit{R. Tracinà} et al., Appl. Math. Comput. 275, 299--304 (2016; Zbl 1410.35186) Full Text: DOI
Liu, Fang; Shi, Weiping; Wu, Fangfang A lattice Boltzmann model for the generalized Boussinesq equation. (English) Zbl 1410.76364 Appl. Math. Comput. 274, 331-342 (2016). MSC: 76M28 35Q53 35C08 PDFBibTeX XMLCite \textit{F. Liu} et al., Appl. Math. Comput. 274, 331--342 (2016; Zbl 1410.76364) Full Text: DOI
Wu, Hui-Yuan; Duan, Yong Multi-quadric quasi-interpolation method coupled with FDM for the Degasperis-Procesi equation. (English) Zbl 1410.65331 Appl. Math. Comput. 274, 83-92 (2016). MSC: 65M06 35G25 35Q53 PDFBibTeX XMLCite \textit{H.-Y. Wu} and \textit{Y. Duan}, Appl. Math. Comput. 274, 83--92 (2016; Zbl 1410.65331) Full Text: DOI
Yang, Lijuan; Du, Xianyun; Yang, Qiongfen New variable separation solutions to the \((2 + 1)\)-dimensional Burgers equation. (English) Zbl 1410.35190 Appl. Math. Comput. 273, 1271-1275 (2016). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{L. Yang} et al., Appl. Math. Comput. 273, 1271--1275 (2016; Zbl 1410.35190) Full Text: DOI
Gheorghiu, C. I. Stable spectral collocation solutions to a class of Benjamin Bona Mahony initial value problems. (English) Zbl 1410.65394 Appl. Math. Comput. 273, 1090-1099 (2016). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{C. I. Gheorghiu}, Appl. Math. Comput. 273, 1090--1099 (2016; Zbl 1410.65394) Full Text: DOI
Yimnet, S.; Wongsaijai, B.; Rojsiraphisal, T.; Poochinapan, K. Numerical implementation for solving the symmetric regularized long wave equation. (English) Zbl 1410.65334 Appl. Math. Comput. 273, 809-825 (2016). MSC: 65M06 35B25 35Q53 65M12 PDFBibTeX XMLCite \textit{S. Yimnet} et al., Appl. Math. Comput. 273, 809--825 (2016; Zbl 1410.65334) Full Text: DOI
Kudryashov, Nikolay A.; Ivanova, Yulia S. Painlevé analysis and exact solutions for the modified Korteweg-de Vries equation with polynomial source. (English) Zbl 1410.35172 Appl. Math. Comput. 273, 377-382 (2016). MSC: 35Q53 35C07 35C20 35P25 35R30 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{Y. S. Ivanova}, Appl. Math. Comput. 273, 377--382 (2016; Zbl 1410.35172) Full Text: DOI
Demiray, Seçil; Taşcan, Filiz Quasi-periodic solutions of \((3+1)\) generalized BKP equation by using Riemann theta functions. (English) Zbl 1410.35166 Appl. Math. Comput. 273, 131-141 (2016). MSC: 35Q53 14K25 35B15 35G20 PDFBibTeX XMLCite \textit{S. Demiray} and \textit{F. Taşcan}, Appl. Math. Comput. 273, 131--141 (2016; Zbl 1410.35166) Full Text: DOI arXiv
He, Dongdong; Pan, Kejia A linearly implicit conservative difference scheme for the generalized Rosenau-Kawahara-RLW equation. (English) Zbl 1410.65312 Appl. Math. Comput. 271, 323-336 (2015). MSC: 65M06 35Q53 65M12 PDFBibTeX XMLCite \textit{D. He} and \textit{K. Pan}, Appl. Math. Comput. 271, 323--336 (2015; Zbl 1410.65312) Full Text: DOI arXiv
Ni, Wei-Guo; Dai, Chao-Qing Note on same result of different ansätz based on extended tanh-function method for nonlinear models. (English) Zbl 1410.35179 Appl. Math. Comput. 270, 434-440 (2015). MSC: 35Q53 35C05 35G20 35Q51 PDFBibTeX XMLCite \textit{W.-G. Ni} and \textit{C.-Q. Dai}, Appl. Math. Comput. 270, 434--440 (2015; Zbl 1410.35179) Full Text: DOI
Ucar, Y.; Karaagac, B.; Esen, A. A new approach on numerical solutions of the improved Boussinesq type equation using quadratic B-spline Galerkin finite element method. (English) Zbl 1410.65381 Appl. Math. Comput. 270, 148-155 (2015). MSC: 65M60 35Q53 PDFBibTeX XMLCite \textit{Y. Ucar} et al., Appl. Math. Comput. 270, 148--155 (2015; Zbl 1410.65381) Full Text: DOI
Vitanov, Nikolay K.; Dimitrova, Zlatinka I.; Vitanov, Kaloyan N. Modified method of simplest equation for obtaining exact analytical solutions of nonlinear partial differential equations: further development of the methodology with applications. (English) Zbl 1410.35187 Appl. Math. Comput. 269, 363-378 (2015). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{N. K. Vitanov} et al., Appl. Math. Comput. 269, 363--378 (2015; Zbl 1410.35187) Full Text: DOI arXiv Link
Zhang, Yi; Sun, YanBo; Xiang, Wen The rogue waves of the KP equation with self-consistent sources. (English) Zbl 1410.35193 Appl. Math. Comput. 263, 204-213 (2015). MSC: 35Q53 35C08 35Q55 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 263, 204--213 (2015; Zbl 1410.35193) Full Text: DOI
Mukundan, Vijitha; Awasthi, Ashish Efficient numerical techniques for Burgers’ equation. (English) Zbl 1410.65322 Appl. Math. Comput. 262, 282-297 (2015). MSC: 65M06 65L06 65M20 35Q53 PDFBibTeX XMLCite \textit{V. Mukundan} and \textit{A. Awasthi}, Appl. Math. Comput. 262, 282--297 (2015; Zbl 1410.65322) Full Text: DOI
Kilic, Bulent; Inc, Mustafa The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient. (English) Zbl 1410.35277 Appl. Math. Comput. 254, 70-74 (2015). MSC: 35R11 35Q53 65M99 PDFBibTeX XMLCite \textit{B. Kilic} and \textit{M. Inc}, Appl. Math. Comput. 254, 70--74 (2015; Zbl 1410.35277) Full Text: DOI
Abd-el-Malek, Mina B.; Amin, Amr M. New exact solutions for solving the initial-value-problem of the KdV-KP equation via the Lie group method. (English) Zbl 1410.35162 Appl. Math. Comput. 261, 408-418 (2015). MSC: 35Q53 35A30 35C05 37K40 35C08 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} and \textit{A. M. Amin}, Appl. Math. Comput. 261, 408--418 (2015; Zbl 1410.35162) Full Text: DOI
Prakash, Amit; Kumar, Manoj; Sharma, Kapil K. Numerical method for solving fractional coupled Burgers equations. (English) Zbl 1410.65413 Appl. Math. Comput. 260, 314-320 (2015). MSC: 65M99 35Q53 35R11 PDFBibTeX XMLCite \textit{A. Prakash} et al., Appl. Math. Comput. 260, 314--320 (2015; Zbl 1410.65413) Full Text: DOI
Guo, Fei; Yan, Li; Wang, Run Rigorous derivation and propagation speed property for a two-component Degasperis-Procesi system in shallow water regimes. (English) Zbl 1390.35269 Appl. Math. Comput. 259, 980-986 (2015). MSC: 35Q35 35Q53 76B15 PDFBibTeX XMLCite \textit{F. Guo} et al., Appl. Math. Comput. 259, 980--986 (2015; Zbl 1390.35269) Full Text: DOI
Zhang, Wei-Guo; Zhao, Yan-Nan; Chen, Ai-Hua The elastic-fusion-coupled interaction for the Boussinesq equation and new soliton solutions of the KP equation. (English) Zbl 1390.35314 Appl. Math. Comput. 259, 251-257 (2015). MSC: 35Q53 35Q51 37K40 35C08 37K10 PDFBibTeX XMLCite \textit{W.-G. Zhang} et al., Appl. Math. Comput. 259, 251--257 (2015; Zbl 1390.35314) Full Text: DOI
Hammad, D. A.; El-Azab, M. S. \(2N\) order compact finite difference scheme with collocation method for solving the generalized Burger’s-Huxley and Burger’s-Fisher equations. (English) Zbl 1339.65118 Appl. Math. Comput. 258, 296-311 (2015). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{D. A. Hammad} and \textit{M. S. El-Azab}, Appl. Math. Comput. 258, 296--311 (2015; Zbl 1339.65118) Full Text: DOI
Mohanty, R. K.; Dai, Weizhong; Han, Fei Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers’ equations. (English) Zbl 1339.65133 Appl. Math. Comput. 256, 381-393 (2015). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{R. K. Mohanty} et al., Appl. Math. Comput. 256, 381--393 (2015; Zbl 1339.65133) Full Text: DOI
Misra, A. P. Complex Korteweg-de Vries equation and nonlinear dust-acoustic waves in a magnetoplasma with a pair of trapped ions. (English) Zbl 1338.35395 Appl. Math. Comput. 256, 368-374 (2015). MSC: 35Q53 76W05 76X05 PDFBibTeX XMLCite \textit{A. P. Misra}, Appl. Math. Comput. 256, 368--374 (2015; Zbl 1338.35395) Full Text: DOI arXiv
Zhang, Yi; Ma, Wen-Xiu Rational solutions to a KdV-like equation. (English) Zbl 1338.35400 Appl. Math. Comput. 256, 252-256 (2015). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W.-X. Ma}, Appl. Math. Comput. 256, 252--256 (2015; Zbl 1338.35400) Full Text: DOI
Xu, Xi-Xiang A deformed reduced semi-discrete Kaup-Newell equation, the related integrable family and Darboux transformation. (English) Zbl 1328.37054 Appl. Math. Comput. 251, 275-283 (2015). MSC: 37K10 37K35 35Q53 PDFBibTeX XMLCite \textit{X.-X. Xu}, Appl. Math. Comput. 251, 275--283 (2015; Zbl 1328.37054) Full Text: DOI
Hassan, M. M.; Abdel-Razek, M. A.; Shoreh, A. A.-H. Explicit exact solutions of some nonlinear evolution equations with their geometric interpretations. (English) Zbl 1328.35200 Appl. Math. Comput. 251, 243-252 (2015). MSC: 35Q53 35C05 35C07 PDFBibTeX XMLCite \textit{M. M. Hassan} et al., Appl. Math. Comput. 251, 243--252 (2015; Zbl 1328.35200) Full Text: DOI
Abd-el-Malek, Mina B.; Badran, Nagwa A.; Hassan, Hossam S.; Abbas, Heba H. New solutions for solving Boussinesq equation via potential symmetries method. (English) Zbl 1328.35195 Appl. Math. Comput. 251, 225-232 (2015). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{M. B. Abd-el-Malek} et al., Appl. Math. Comput. 251, 225--232 (2015; Zbl 1328.35195) Full Text: DOI
Zhang, Kelei; Han, Junqiang Bifurcations of traveling wave solutions for the \((2+1)\)-dimensional generalized asymmetric Nizhnik-Novikov-Veselov equation. (English) Zbl 1328.35206 Appl. Math. Comput. 251, 108-117 (2015). MSC: 35Q53 35C07 35C08 35B10 PDFBibTeX XMLCite \textit{K. Zhang} and \textit{J. Han}, Appl. Math. Comput. 251, 108--117 (2015; Zbl 1328.35206) Full Text: DOI
Li, Qianhuan; Chai, Zhenhua; Shi, Baochang A novel lattice Boltzmann model for the coupled viscous Burgers’ equations. (English) Zbl 1328.65218 Appl. Math. Comput. 250, 948-957 (2015). MSC: 65M75 35Q53 76M28 PDFBibTeX XMLCite \textit{Q. Li} et al., Appl. Math. Comput. 250, 948--957 (2015; Zbl 1328.65218) Full Text: DOI
Atouani, Noureddine; Omrani, Khaled On the convergence of conservative difference schemes for the 2D generalized Rosenau-Korteweg de Vries equation. (English) Zbl 1328.65174 Appl. Math. Comput. 250, 832-847 (2015). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{N. Atouani} and \textit{K. Omrani}, Appl. Math. Comput. 250, 832--847 (2015; Zbl 1328.65174) Full Text: DOI
Zhanlav, T.; Chuluunbaatar, O.; Ulziibayar, V. Higher-order accurate numerical solution of unsteady Burgers’ equation. (English) Zbl 1328.65186 Appl. Math. Comput. 250, 701-707 (2015). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{T. Zhanlav} et al., Appl. Math. Comput. 250, 701--707 (2015; Zbl 1328.65186) Full Text: DOI
Helal, M. A.; Seadawy, A. R.; Zekry, M. H. Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation. (English) Zbl 1410.35169 Appl. Math. Comput. 232, 1094-1103 (2014). MSC: 35Q53 35Q35 PDFBibTeX XMLCite \textit{M. A. Helal} et al., Appl. Math. Comput. 232, 1094--1103 (2014; Zbl 1410.35169) Full Text: DOI
Kudryashov, Nikolay A.; Ryabov, Pavel N. Exact solutions of one pattern formation model. (English) Zbl 1410.35173 Appl. Math. Comput. 232, 1090-1093 (2014). MSC: 35Q53 35C05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{P. N. Ryabov}, Appl. Math. Comput. 232, 1090--1093 (2014; Zbl 1410.35173) Full Text: DOI
Hernández Melo, César A. Existence and stability of equilibrium solutions of a nonlinear heat equation. (English) Zbl 1410.35075 Appl. Math. Comput. 232, 1025-1036 (2014). MSC: 35K60 35Q53 35B40 PDFBibTeX XMLCite \textit{C. A. Hernández Melo}, Appl. Math. Comput. 232, 1025--1036 (2014; Zbl 1410.35075) Full Text: DOI
Ouyang, Zheng-yong; Zheng, Shan Orbital stability of peakons for a generalized CH equation. (English) Zbl 1410.35156 Appl. Math. Comput. 232, 183-190 (2014). MSC: 35Q51 35Q53 PDFBibTeX XMLCite \textit{Z.-y. Ouyang} and \textit{S. Zheng}, Appl. Math. Comput. 232, 183--190 (2014; Zbl 1410.35156) Full Text: DOI
Song, Ming; Liu, Zhengrong Periodic wave solutions and their limits for the ZK-BBM equation. (English) Zbl 1410.35183 Appl. Math. Comput. 232, 9-26 (2014). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{M. Song} and \textit{Z. Liu}, Appl. Math. Comput. 232, 9--26 (2014; Zbl 1410.35183) Full Text: DOI
Zhang, Huiqun; Ma, Wen-Xiu Extended transformed rational function method and applications to complexiton solutions. (English) Zbl 1410.35024 Appl. Math. Comput. 230, 509-515 (2014). MSC: 35G20 35A25 35C05 35Q53 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{W.-X. Ma}, Appl. Math. Comput. 230, 509--515 (2014; Zbl 1410.35024) Full Text: DOI
Yi, Son-Young; Lee, Sunmi A locally conservative eulerian-Lagrangian finite difference method for the forced KdV equation. (English) Zbl 1410.76311 Appl. Math. Comput. 230, 276-289 (2014). MSC: 76M20 65M06 35Q53 76B15 PDFBibTeX XMLCite \textit{S.-Y. Yi} and \textit{S. Lee}, Appl. Math. Comput. 230, 276--289 (2014; Zbl 1410.76311) Full Text: DOI
Yin, Jiuli; Ding, Shanyu; Tian, Lixin; Fan, Xinghua; Deng, Xiaoyan Existence of exotic waves for the nonlinear dispersive mKdV equation. (English) Zbl 1364.35322 Appl. Math. Comput. 229, 499-504 (2014). MSC: 35Q53 35C07 PDFBibTeX XMLCite \textit{J. Yin} et al., Appl. Math. Comput. 229, 499--504 (2014; Zbl 1364.35322) Full Text: DOI
Gao, Feng; Chi, Chunmei Numerical solution of nonlinear Burgers’ equation using high accuracy multi-quadric quasi-interpolation. (English) Zbl 1364.65207 Appl. Math. Comput. 229, 414-421 (2014). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{F. Gao} and \textit{C. Chi}, Appl. Math. Comput. 229, 414--421 (2014; Zbl 1364.65207) Full Text: DOI