Echeverribar, I.; Brufau, P.; García-Navarro, P. Extension of a Roe-type Riemann solver scheme to model non-hydrostatic pressure shallow flows. (English) Zbl 1511.76062 Appl. Math. Comput. 440, Article ID 127642, 39 p. (2023). MSC: 76M12 35Q31 35L60 35Q30 76B15 76D05 PDFBibTeX XMLCite \textit{I. Echeverribar} et al., Appl. Math. Comput. 440, Article ID 127642, 39 p. (2023; Zbl 1511.76062) Full Text: DOI
Kudryashov, Nikolay A. First integrals and general solution of the complex Ginzburg-Landau equation. (English) Zbl 1497.35445 Appl. Math. Comput. 386, Article ID 125407, 8 p. (2020). MSC: 35Q56 35C08 35Q55 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 386, Article ID 125407, 8 p. (2020; Zbl 1497.35445) 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
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, Yufeng; Mei, Jianqin; Zhang, Xiangzhi Symmetry properties and explicit solutions of some nonlinear differential and fractional equations. (English) Zbl 1427.35249 Appl. Math. Comput. 337, 408-418 (2018). MSC: 35Q53 35A30 35C06 35R11 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 337, 408--418 (2018; Zbl 1427.35249) Full Text: DOI
Jamal, Sameerah; Mnguni, Nkosingiphile Approximate conditions admitted by classes of the Lagrangian \(\mathcal{L} = \frac{1}{2}(- u^{\prime 2} + u^2) + \epsilon^i g_i(u, u^\prime, u'')\). (English) Zbl 1427.35003 Appl. Math. Comput. 335, 65-74 (2018). MSC: 35A30 22E60 34C14 PDFBibTeX XMLCite \textit{S. Jamal} and \textit{N. Mnguni}, Appl. Math. Comput. 335, 65--74 (2018; Zbl 1427.35003) Full Text: DOI arXiv
McAnally, Morgan; Ma, Wen-Xiu An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy. (English) Zbl 1426.37051 Appl. Math. Comput. 323, 220-227 (2018). MSC: 37K05 35P30 35Q51 37K10 37K30 PDFBibTeX XMLCite \textit{M. McAnally} and \textit{W.-X. Ma}, Appl. Math. Comput. 323, 220--227 (2018; Zbl 1426.37051) 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
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
Ramírez, J.; Romero, J. L.; Muriel, C. Reductions of PDEs to second order ODEs and symbolic computation. (English) Zbl 1410.34005 Appl. Math. Comput. 291, 122-136 (2016). MSC: 34A05 35-04 35A24 35G20 68W30 PDFBibTeX XMLCite \textit{J. Ramírez} et al., Appl. Math. Comput. 291, 122--136 (2016; Zbl 1410.34005) Full Text: DOI
Zayed, E. M. E.; Alurrfi, K. A. E. Extended auxiliary equation method and its applications for finding the exact solutions for a class of nonlinear Schrödinger-type equations. (English) Zbl 1410.35220 Appl. Math. Comput. 289, 111-131 (2016). MSC: 35Q55 35B10 35C08 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. E. Alurrfi}, Appl. Math. Comput. 289, 111--131 (2016; Zbl 1410.35220) 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
Yuan, Wenjun; Meng, Fanning; Huang, Yong; Wu, Yonghong All traveling wave exact solutions of the variant Boussinesq equations. (English) Zbl 1410.35192 Appl. Math. Comput. 268, 865-872 (2015). MSC: 35Q53 30D35 35C08 PDFBibTeX XMLCite \textit{W. Yuan} et al., Appl. Math. Comput. 268, 865--872 (2015; Zbl 1410.35192) Full Text: DOI
Kudryashov, Nikolay A.; Zakharchenko, Anastasia S. Analytical properties and exact solutions of the Lotka-Volterra competition system. (English) Zbl 1410.35018 Appl. Math. Comput. 254, 219-228 (2015). MSC: 35C07 35K57 92D25 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{A. S. Zakharchenko}, Appl. Math. Comput. 254, 219--228 (2015; Zbl 1410.35018) Full Text: DOI arXiv
Kara, A. H.; Razborova, Polina; Biswas, Anjan Solitons and conservation laws of coupled Ostrovsky equation for internal waves. (English) Zbl 1338.35393 Appl. Math. Comput. 258, 95-99 (2015). MSC: 35Q53 35A30 35C08 37K40 PDFBibTeX XMLCite \textit{A. H. Kara} et al., Appl. Math. Comput. 258, 95--99 (2015; Zbl 1338.35393) 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
Mallory, Kristina; Van Gorder, Robert A. Method for constructing analytical solutions to the Dym initial value problem. (English) Zbl 1354.35131 Appl. Math. Comput. 226, 67-82 (2014). MSC: 35Q53 35C10 35A25 PDFBibTeX XMLCite \textit{K. Mallory} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 226, 67--82 (2014; Zbl 1354.35131) Full Text: DOI
Shi, Chang-Guang; Ma, Wen-Xiu; McAnally, Morgan Integrable counterparts of the D-Kaup-Newell soliton hierarchy. (English) Zbl 1338.37093 Appl. Math. Comput. 248, 463-469 (2014). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{C.-G. Shi} et al., Appl. Math. Comput. 248, 463--469 (2014; Zbl 1338.37093) Full Text: DOI
Abdoulkary, Saïdou; Mohamadou, Alidou; Beda, Tibi; Gambo, Betchewe; Doka, Serge Y.; Alim; Mahamoudou, Aboubakar Exact traveling wave solutions to the nonlinear Schrödinger equation. (English) Zbl 1334.35009 Appl. Math. Comput. 233, 109-115 (2014). MSC: 35C07 35Q55 PDFBibTeX XMLCite \textit{S. Abdoulkary} et al., Appl. Math. Comput. 233, 109--115 (2014; Zbl 1334.35009) Full Text: DOI
Ma, Wen-Xiu A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\). (English) Zbl 1329.35270 Appl. Math. Comput. 220, 117-122 (2013). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{W.-X. Ma}, Appl. Math. Comput. 220, 117--122 (2013; Zbl 1329.35270) Full Text: DOI
Kudryashov, Nikolay A. Polynomials in logistic function and solitary waves of nonlinear differential equations. (English) Zbl 1297.35076 Appl. Math. Comput. 219, No. 17, 9245-9253 (2013). MSC: 35C08 35Q53 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 219, No. 17, 9245--9253 (2013; Zbl 1297.35076) Full Text: DOI
Kudryashov, Nikolay A. Quasi-exact solutions of the dissipative Kuramoto-Sivashinsky equation. (English) Zbl 1290.35228 Appl. Math. Comput. 219, No. 17, 9213-9218 (2013). MSC: 35Q53 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 219, No. 17, 9213--9218 (2013; Zbl 1290.35228) Full Text: DOI
Wazwaz, Abdul-Majid \((2+1)\)-dimensional Burgers equations \(\mathrm{BE}(m+n+1)\): using the recursion operator. (English) Zbl 1295.35267 Appl. Math. Comput. 219, No. 17, 9057-9068 (2013). MSC: 35K58 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 219, No. 17, 9057--9068 (2013; Zbl 1295.35267) Full Text: DOI
Wang, Qi Extended rational expansion method for differential-difference equation. (English) Zbl 1292.34006 Appl. Math. Comput. 219, No. 17, 8965-8972 (2013). MSC: 34A25 34A45 34A05 34A33 PDFBibTeX XMLCite \textit{Q. Wang}, Appl. Math. Comput. 219, No. 17, 8965--8972 (2013; Zbl 1292.34006) Full Text: DOI
Yang, Xu-dong; Ruan, Hang-yu HBHGen: a Maple package to construct the Hirota bilinear form for nonlinear equations. (English) Zbl 1290.35003 Appl. Math. Comput. 219, No. 15, 8018-8025 (2013). MSC: 35-04 35Q53 PDFBibTeX XMLCite \textit{X.-d. Yang} and \textit{H.-y. Ruan}, Appl. Math. Comput. 219, No. 15, 8018--8025 (2013; Zbl 1290.35003) Full Text: DOI
Yu, Shuimeng \(N\)-soliton solutions of the KP equation by Exp-function method. (English) Zbl 1311.35267 Appl. Math. Comput. 219, No. 8, 3420-3424 (2012). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{S. Yu}, Appl. Math. Comput. 219, No. 8, 3420--3424 (2012; Zbl 1311.35267) Full Text: DOI
Wazwaz, Abdul-Majid \((2+1)\)-dimensional mKdV (N) equations by the mKdV recursion operator: multiple soliton and multiple singular soliton solutions. (English) Zbl 1308.35256 Appl. Math. Comput. 219, No. 5, 2535-2544 (2012). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 219, No. 5, 2535--2544 (2012; Zbl 1308.35256) Full Text: DOI
Zhao, Lei; Huang, Dingjiang; Zhou, Shuigeng A new algorithm for automatic computation of solitary wave solutions to nonlinear partial differential equations based on the Exp-function method. (English) Zbl 1295.65102 Appl. Math. Comput. 219, No. 4, 1890-1896 (2012). MSC: 65M99 35G20 65Y15 PDFBibTeX XMLCite \textit{L. Zhao} et al., Appl. Math. Comput. 219, No. 4, 1890--1896 (2012; Zbl 1295.65102) Full Text: DOI
Kudryashov, Nikolay A.; Kochanov, Mark B. Quasi-exact solutions of nonlinear differential equations. (English) Zbl 1295.34005 Appl. Math. Comput. 219, No. 4, 1793-1804 (2012). MSC: 34A05 35C07 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{M. B. Kochanov}, Appl. Math. Comput. 219, No. 4, 1793--1804 (2012; Zbl 1295.34005) Full Text: DOI arXiv
Adem, Abdullahi Rashid; Khalique, Chaudry Masood On the solutions and conservation laws of a coupled KdV system. (English) Zbl 1291.35270 Appl. Math. Comput. 219, No. 3, 959-969 (2012). MSC: 35Q53 35K57 PDFBibTeX XMLCite \textit{A. R. Adem} and \textit{C. M. Khalique}, Appl. Math. Comput. 219, No. 3, 959--969 (2012; Zbl 1291.35270) Full Text: DOI
Ma, Wen-Xiu; Zhu, Zuonong Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm. (English) Zbl 1280.35122 Appl. Math. Comput. 218, No. 24, 11871-11879 (2012). MSC: 35Q51 35Q53 68W30 PDFBibTeX XMLCite \textit{W.-X. Ma} and \textit{Z. Zhu}, Appl. Math. Comput. 218, No. 24, 11871--11879 (2012; Zbl 1280.35122) Full Text: DOI
Wazwaz, Abdul-Majid Structures of multiple soliton solutions of the generalized, asymmetric and modified Nizhnik-Novikov-Veselov equations. (English) Zbl 1278.35223 Appl. Math. Comput. 218, No. 22, 11344-11349 (2012). MSC: 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 218, No. 22, 11344--11349 (2012; Zbl 1278.35223) Full Text: DOI
Krisnangkura, Moke; Chinviriyasit, Settapat; Chinviriyasit, Wirawan Analytic study of the generalized Burger’s-Huxley equation by hyperbolic tangent method. (English) Zbl 1278.35216 Appl. Math. Comput. 218, No. 22, 10843-10847 (2012). MSC: 35Q53 PDFBibTeX XMLCite \textit{M. Krisnangkura} et al., Appl. Math. Comput. 218, No. 22, 10843--10847 (2012; Zbl 1278.35216) Full Text: DOI
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. Nonlinear differential equations of the second, third and fourth order with exact solutions. (English) Zbl 1259.34006 Appl. Math. Comput. 218, No. 21, 10454-10467 (2012). Reviewer: Jinzhi Lei (Beijing) MSC: 34A05 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{D. I. Sinelshchikov}, Appl. Math. Comput. 218, No. 21, 10454--10467 (2012; Zbl 1259.34006) Full Text: DOI
Shi, Qihong; Xiao, Qian; Liu, Xiaojun Extended wave solutions for a nonlinear Klein-Gordon-Zakharov system. (English) Zbl 1245.65173 Appl. Math. Comput. 218, No. 19, 9922-9929 (2012). MSC: 65N99 35Q53 PDFBibTeX XMLCite \textit{Q. Shi} et al., Appl. Math. Comput. 218, No. 19, 9922--9929 (2012; Zbl 1245.65173) Full Text: DOI
Ryabov, Pavel N.; Sinelshchikov, Dmitry I.; Kochanov, Mark B. Application of the Kudryashov method for finding exact solutions of the high order nonlinear evolution equations. (English) Zbl 1246.35015 Appl. Math. Comput. 218, No. 7, 3965-3972 (2011). MSC: 35A25 35C05 35G25 35C08 PDFBibTeX XMLCite \textit{P. N. Ryabov} et al., Appl. Math. Comput. 218, No. 7, 3965--3972 (2011; Zbl 1246.35015) Full Text: DOI arXiv
Hammond, Jason F.; Bortz, David M. Analytical solutions to Fisher’s equation with time-variable coefficients. (English) Zbl 1239.35165 Appl. Math. Comput. 218, No. 6, 2497-2508 (2011). MSC: 35Q92 35K57 92D10 PDFBibTeX XMLCite \textit{J. F. Hammond} and \textit{D. M. Bortz}, Appl. Math. Comput. 218, No. 6, 2497--2508 (2011; Zbl 1239.35165) Full Text: DOI
Zayed, E. M. E.; Abdelaziz, M. A. M. Exact solutions for the nonlinear Schrödinger equation with variable coefficients using the generalized extended tanh-function, the sine-cosine and the exp-function methods. (English) Zbl 1229.35278 Appl. Math. Comput. 218, No. 5, 2259-2268 (2011). MSC: 35Q55 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{M. A. M. Abdelaziz}, Appl. Math. Comput. 218, No. 5, 2259--2268 (2011; Zbl 1229.35278) Full Text: DOI
Ye, Yichao; Wang, Lihong; Chang, Zhaowei; He, Jingsong An efficient algorithm of logarithmic transformation to Hirota bilinear form of KdV-type bilinear equation. (English) Zbl 1416.65385 Appl. Math. Comput. 218, No. 5, 2200-2209 (2011). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{Y. Ye} et al., Appl. Math. Comput. 218, No. 5, 2200--2209 (2011; Zbl 1416.65385) Full Text: DOI arXiv
Yao, Yuqin; Huang, Yehui; Wei, Yuan; Zeng, Yunbo Some new integrable systems constructed from the bi-Hamiltonian systems with pure differential Hamiltonian operators. (English) Zbl 1223.35285 Appl. Math. Comput. 218, No. 2, 583-591 (2011). MSC: 35Q53 37K10 35Q51 PDFBibTeX XMLCite \textit{Y. Yao} et al., Appl. Math. Comput. 218, No. 2, 583--591 (2011; Zbl 1223.35285) Full Text: DOI arXiv
Wei, Long Multiple periodic-soliton solutions to Kadomtsev-Petviashvili equation. (English) Zbl 1223.37090 Appl. Math. Comput. 218, No. 2, 368-375 (2011). MSC: 37K10 35Q53 35B10 PDFBibTeX XMLCite \textit{L. Wei}, Appl. Math. Comput. 218, No. 2, 368--375 (2011; Zbl 1223.37090) Full Text: DOI
Aslan, İsmail Exact and explicit solutions to nonlinear evolution equations using the division theorem. (English) Zbl 1219.35032 Appl. Math. Comput. 217, No. 20, 8134-8139 (2011). MSC: 35C07 35C05 PDFBibTeX XMLCite \textit{İ. Aslan}, Appl. Math. Comput. 217, No. 20, 8134--8139 (2011; Zbl 1219.35032) Full Text: DOI Link
Guo, Yunxi; Wang, Ying On Weierstrass elliptic function solutions for a \((N+1)\) dimensional potential KdV equation. (English) Zbl 1219.35231 Appl. Math. Comput. 217, No. 20, 8080-8092 (2011). MSC: 35Q53 35C07 35C08 35B10 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Y. Wang}, Appl. Math. Comput. 217, No. 20, 8080--8092 (2011; Zbl 1219.35231) Full Text: DOI
Gurefe, Yusuf; Misirli, Emine New variable separation solutions of two-dimensional Burgers system. (English) Zbl 1219.35232 Appl. Math. Comput. 217, No. 22, 9189-9197 (2011). MSC: 35Q53 35A24 35C08 35B10 PDFBibTeX XMLCite \textit{Y. Gurefe} and \textit{E. Misirli}, Appl. Math. Comput. 217, No. 22, 9189--9197 (2011; Zbl 1219.35232) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for shallow water waves equations in \((1+1)\) and \((2+1)\) dimensions. (English) Zbl 1333.35244 Appl. Math. Comput. 217, No. 21, 8840-8845 (2011). MSC: 35Q53 35C08 37K40 76B15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 21, 8840--8845 (2011; Zbl 1333.35244) Full Text: DOI
Li, Wei; Yomba, Emmanuel; Zhang, Hongqing New exact solutions for some coupled nonlinear partial differential equations using extended coupled sub-equations expansion method. (English) Zbl 1219.35030 Appl. Math. Comput. 217, No. 21, 8468-8481 (2011). MSC: 35C05 35C07 PDFBibTeX XMLCite \textit{W. Li} et al., Appl. Math. Comput. 217, No. 21, 8468--8481 (2011; Zbl 1219.35030) Full Text: DOI
Shang, Yadong; Huang, Yong; Yuan, Wenjun Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation. (English) Zbl 1219.37052 Appl. Math. Comput. 217, No. 17, 7172-7183 (2011). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 PDFBibTeX XMLCite \textit{Y. Shang} et al., Appl. Math. Comput. 217, No. 17, 7172--7183 (2011; Zbl 1219.37052) Full Text: DOI
Singh, K.; Gupta, R. K.; Kumar, Sachin Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis. (English) Zbl 1211.35246 Appl. Math. Comput. 217, No. 16, 7021-7027 (2011). MSC: 35Q53 37K05 37K10 35B06 35A24 35C05 PDFBibTeX XMLCite \textit{K. Singh} et al., Appl. Math. Comput. 217, No. 16, 7021--7027 (2011; Zbl 1211.35246) Full Text: DOI
Farooq, M. Umar; Ali, S.; Mahomed, F. M. Two-dimensional systems that arise from the Noether classification of Lagrangians on the line. (English) Zbl 1237.70039 Appl. Math. Comput. 217, No. 16, 6959-6973 (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 70H33 70H03 PDFBibTeX XMLCite \textit{M. U. Farooq} et al., Appl. Math. Comput. 217, No. 16, 6959--6973 (2011; Zbl 1237.70039) Full Text: DOI arXiv
Zheng, Bin Travelling wave solutions of two nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method. (English) Zbl 1210.35220 Appl. Math. Comput. 217, No. 12, 5743-5753 (2011). MSC: 35Q53 35Q51 35C07 35A24 35-04 PDFBibTeX XMLCite \textit{B. Zheng}, Appl. Math. Comput. 217, No. 12, 5743--5753 (2011; Zbl 1210.35220) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for the Bogoyavlenskii’s generalized breaking soliton equations and its extension form. (English) Zbl 1206.35215 Appl. Math. Comput. 217, No. 8, 4282-4288 (2010). MSC: 35Q51 35C08 35A22 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 8, 4282--4288 (2010; Zbl 1206.35215) Full Text: DOI
Sweet, Erik; Van Gorder, Robert A. Trigonometric and hyperbolic type solutions to a generalized Drinfel’d-Sokolov equation. (English) Zbl 1206.35223 Appl. Math. Comput. 217, No. 8, 4147-4166 (2010). MSC: 35Q53 35C09 35B30 35A35 35C20 PDFBibTeX XMLCite \textit{E. Sweet} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 217, No. 8, 4147--4166 (2010; Zbl 1206.35223) Full Text: DOI
Wang, Qi Approximate solution for system of differential-difference equations by means of the homotopy analysis method. (English) Zbl 1221.65159 Appl. Math. Comput. 217, No. 8, 4122-4128 (2010). Reviewer: Neville Ford (Chester) MSC: 65L03 65L20 34A25 34K28 PDFBibTeX XMLCite \textit{Q. Wang}, Appl. Math. Comput. 217, No. 8, 4122--4128 (2010; Zbl 1221.65159) Full Text: DOI
Jiang, Dong-mei Application of Fibonacci sine and cosine function to a nonlinear differential-difference equation. (English) Zbl 1215.34011 Appl. Math. Comput. 217, No. 8, 3898-3902 (2010). Reviewer: Zhi-Cheng Wang (Lanzhou) MSC: 34A33 34A05 PDFBibTeX XMLCite \textit{D.-m. Jiang}, Appl. Math. Comput. 217, No. 8, 3898--3902 (2010; Zbl 1215.34011) Full Text: DOI
Kudryashov, Nikolai A. A note on the \(G'/G\)-expansion method. (English) Zbl 1203.35228 Appl. Math. Comput. 217, No. 4, 1755-1758 (2010). MSC: 35Q53 35Q51 35C07 35C08 35A24 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 217, No. 4, 1755--1758 (2010; Zbl 1203.35228) Full Text: DOI
Jia, Huabing; Xu, Wei Solitons solutions for some nonlinear evolution equations. (English) Zbl 1203.35225 Appl. Math. Comput. 217, No. 4, 1678-1687 (2010). MSC: 35Q53 35Q51 35C08 35A24 35B10 35C07 PDFBibTeX XMLCite \textit{H. Jia} and \textit{W. Xu}, Appl. Math. Comput. 217, No. 4, 1678--1687 (2010; Zbl 1203.35225) Full Text: DOI
Wang, Jing Some new and general solutions to the compound KdV-Burgers system with nonlinear terms of any order. (English) Zbl 1203.35246 Appl. Math. Comput. 217, No. 4, 1652-1657 (2010). MSC: 35Q53 35C07 35A24 35B10 35C08 PDFBibTeX XMLCite \textit{J. Wang}, Appl. Math. Comput. 217, No. 4, 1652--1657 (2010; Zbl 1203.35246) Full Text: DOI
Wei, Long New exact solutions to some variable coefficients problems. (English) Zbl 1202.35202 Appl. Math. Comput. 217, No. 4, 1632-1638 (2010). MSC: 35Q51 35C08 35B10 35-04 PDFBibTeX XMLCite \textit{L. Wei}, Appl. Math. Comput. 217, No. 4, 1632--1638 (2010; Zbl 1202.35202) Full Text: DOI
Zhang, Kelei; Tang, Shengqiang; Wang, Zhaojuan Bifurcations of travelling wave solutions for the nonlinear dispersion Drinfel’d-Sokolov \((D(m,n))\) system. (English) Zbl 1203.35203 Appl. Math. Comput. 217, No. 4, 1620-1631 (2010). MSC: 35Q51 35C08 35B10 37K10 37K50 35C07 PDFBibTeX XMLCite \textit{K. Zhang} et al., Appl. Math. Comput. 217, No. 4, 1620--1631 (2010; Zbl 1203.35203) Full Text: DOI
Xin, Hua The exponential function rational expansion method and exact solutions to nonlinear lattice equations system. (English) Zbl 1207.34097 Appl. Math. Comput. 217, No. 4, 1561-1565 (2010). MSC: 34K31 34A05 PDFBibTeX XMLCite \textit{H. Xin}, Appl. Math. Comput. 217, No. 4, 1561--1565 (2010; Zbl 1207.34097) Full Text: DOI
Gómez S., Cesar A.; Salas, Alvaro H.; Frias, Bernardo Acevedo New periodic and soliton solutions for the generalized BBM and Burgers-BBM equations. (English) Zbl 1203.35221 Appl. Math. Comput. 217, No. 4, 1430-1434 (2010). MSC: 35Q53 35B10 35C08 35C07 35A24 PDFBibTeX XMLCite \textit{C. A. Gómez S.} et al., Appl. Math. Comput. 217, No. 4, 1430--1434 (2010; Zbl 1203.35221) Full Text: DOI
Aslan, İsmail Generalized solitary and periodic wave solutions to a \((2+1)\)-dimensional Zakharov-Kuznetsov equation. (English) Zbl 1203.35205 Appl. Math. Comput. 217, No. 4, 1421-1429 (2010). MSC: 35Q53 35Q51 35C08 35A24 35B10 PDFBibTeX XMLCite \textit{İ. Aslan}, Appl. Math. Comput. 217, No. 4, 1421--1429 (2010; Zbl 1203.35205) Full Text: DOI
Gómez, Cesar A.; Salas, Alvaro H. The variational iteration method combined with improved generalized tanh-coth method applied to Sawada-Kotera equation. (English) Zbl 1203.65196 Appl. Math. Comput. 217, No. 4, 1408-1414 (2010). MSC: 65M70 35Q53 35Q51 PDFBibTeX XMLCite \textit{C. A. Gómez} and \textit{A. H. Salas}, Appl. Math. Comput. 217, No. 4, 1408--1414 (2010; Zbl 1203.65196) Full Text: DOI
Li, Zi-Liang Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by \((\frac{G'}{G})\)-expansion method. (English) Zbl 1203.35231 Appl. Math. Comput. 217, No. 4, 1398-1403 (2010). MSC: 35Q53 35Q51 35C07 35C08 35A24 35C11 PDFBibTeX XMLCite \textit{Z.-L. Li}, Appl. Math. Comput. 217, No. 4, 1398--1403 (2010; Zbl 1203.35231) Full Text: DOI
Zhang, Bengong; Liu, Zhengrong; Mao, Jianfeng New exact solutions for mCH and mDP equations by auxiliary equation method. (English) Zbl 1203.35254 Appl. Math. Comput. 217, No. 4, 1306-1314 (2010). MSC: 35Q53 35C08 35-04 35A24 35C07 35B10 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Comput. 217, No. 4, 1306--1314 (2010; Zbl 1203.35254) Full Text: DOI
Inan, Ibrahim E.; Ugurlu, Yavuz Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation. (English) Zbl 1202.35228 Appl. Math. Comput. 217, No. 4, 1294-1299 (2010). MSC: 35Q53 35Q51 35C07 35C08 35A24 PDFBibTeX XMLCite \textit{I. E. Inan} and \textit{Y. Ugurlu}, Appl. Math. Comput. 217, No. 4, 1294--1299 (2010; Zbl 1202.35228) Full Text: DOI
Wazwaz, Abdul-Majid A study on KdV and Gardner equations with time-dependent coefficients and forcing terms. (English) Zbl 1202.35266 Appl. Math. Comput. 217, No. 5, 2277-2281 (2010). MSC: 35Q53 35A30 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 5, 2277--2281 (2010; Zbl 1202.35266) Full Text: DOI
Shukri, Sami; Al-Khaled, Kamel The extended tanh method for solving systems of nonlinear wave equations. (English) Zbl 1202.65131 Appl. Math. Comput. 217, No. 5, 1997-2006 (2010). MSC: 65M70 35Q53 68W30 PDFBibTeX XMLCite \textit{S. Shukri} and \textit{K. Al-Khaled}, Appl. Math. Comput. 217, No. 5, 1997--2006 (2010; Zbl 1202.65131) Full Text: DOI
Wazwaz, Abdul-Majid Non-integrable variants of Boussinesq equation with two solitons. (English) Zbl 1198.35242 Appl. Math. Comput. 217, No. 2, 820-825 (2010). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 2, 820--825 (2010; Zbl 1198.35242) Full Text: DOI
Zhao, Lei; Zhou, Shuigeng Symbolic analysis and exact travelling wave solutions to a new modified Novikov equation. (English) Zbl 1200.35279 Appl. Math. Comput. 217, No. 2, 590-598 (2010). MSC: 35Q53 35C07 37K10 37K35 35C08 PDFBibTeX XMLCite \textit{L. Zhao} and \textit{S. Zhou}, Appl. Math. Comput. 217, No. 2, 590--598 (2010; Zbl 1200.35279) Full Text: DOI
Ali, Ahmad T.; Hassan, Ezzat R. General exp\(_a\)-function method for nonlinear evolution equations. (English) Zbl 1201.65180 Appl. Math. Comput. 217, No. 2, 451-459 (2010). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{A. T. Ali} and \textit{E. R. Hassan}, Appl. Math. Comput. 217, No. 2, 451--459 (2010; Zbl 1201.65180) Full Text: DOI
Zhang, Bengong; Liu, Zhengrong; Xiao, Qing New exact solitary wave and multiple soliton solutions of quantum Zakharov-Kuznetsov equation. (English) Zbl 1200.35238 Appl. Math. Comput. 217, No. 1, 392-402 (2010). MSC: 35Q40 35Q53 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{B. Zhang} et al., Appl. Math. Comput. 217, No. 1, 392--402 (2010; Zbl 1200.35238) Full Text: DOI
Kutluay, S.; Esen, A.; Tasbozan, O. The \((\frac{G'}{G})\)-expansion method for some nonlinear evolution equations. (English) Zbl 1200.35263 Appl. Math. Comput. 217, No. 1, 384-391 (2010). MSC: 35Q53 35C07 35A24 PDFBibTeX XMLCite \textit{S. Kutluay} et al., Appl. Math. Comput. 217, No. 1, 384--391 (2010; Zbl 1200.35263) Full Text: DOI
Hayek, Mohamed Constructing of exact solutions to the KdV and Burgers equations with power-law nonlinearity by the extended \((\frac{G'}{G})\)-expansion method. (English) Zbl 1200.35259 Appl. Math. Comput. 217, No. 1, 212-221 (2010). MSC: 35Q53 35C07 35C09 35C11 35B10 35A24 PDFBibTeX XMLCite \textit{M. Hayek}, Appl. Math. Comput. 217, No. 1, 212--221 (2010; Zbl 1200.35259) Full Text: DOI
Betchewe, Gambo; Bouetou, Thomas Bouetou; Kuetche, Kamgang Victor; Kofane, Timoleon Crepin Dynamical survey of a generalized-Zakharov equation and its exact travelling wave solutions. (English) Zbl 1200.35249 Appl. Math. Comput. 217, No. 1, 203-211 (2010). MSC: 35Q53 37K05 37K50 35C07 35B10 PDFBibTeX XMLCite \textit{G. Betchewe} et al., Appl. Math. Comput. 217, No. 1, 203--211 (2010; Zbl 1200.35249) Full Text: DOI
Zhou, Zhen-jiang; Fu, Jing-zhi; Li, Zhi-bin Maple packages for computing Hirota’s bilinear equation and multisoliton solutions of nonlinear evolution equations. (English) Zbl 1205.65281 Appl. Math. Comput. 217, No. 1, 92-104 (2010). MSC: 65M70 PDFBibTeX XMLCite \textit{Z.-j. Zhou} et al., Appl. Math. Comput. 217, No. 1, 92--104 (2010; Zbl 1205.65281) Full Text: DOI
Li, Bangqing; Ma, Yulan; Sun, Jianzhi The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation. (English) Zbl 1195.65139 Appl. Math. Comput. 216, No. 12, 3522-3535 (2010). MSC: 65M70 35Q51 PDFBibTeX XMLCite \textit{B. Li} et al., Appl. Math. Comput. 216, No. 12, 3522--3535 (2010; Zbl 1195.65139) Full Text: DOI
Gómez S., Cesar A.; Salas, Alvaro Special symmetries to standard Riccati equations and applications. (English) Zbl 1202.34007 Appl. Math. Comput. 216, No. 10, 3089-3096 (2010). Reviewer: Oleg V. Makeev (Ulyanovsk) MSC: 34A05 34C14 34A34 PDFBibTeX XMLCite \textit{C. A. Gómez S.} and \textit{A. Salas}, Appl. Math. Comput. 216, No. 10, 3089--3096 (2010; Zbl 1202.34007) Full Text: DOI
Sweet, Erik; Van Gorder, Robert A. Analytical solutions to a generalized Drinfel’d-Sokolov equation related to DSSH and KdV6. (English) Zbl 1195.35271 Appl. Math. Comput. 216, No. 10, 2783-2791 (2010). MSC: 35Q53 35B20 35B30 35A22 35A35 35C05 PDFBibTeX XMLCite \textit{E. Sweet} and \textit{R. A. Van Gorder}, Appl. Math. Comput. 216, No. 10, 2783--2791 (2010; Zbl 1195.35271) Full Text: DOI
Aslan, İsmail The Ablowitz-Ladik lattice system by means of the extended (\(G^{\prime}/G)\)-expansion method. (English) Zbl 1193.35179 Appl. Math. Comput. 216, No. 9, 2778-2782 (2010). MSC: 35Q53 39A14 35A24 PDFBibTeX XMLCite \textit{İ. Aslan}, Appl. Math. Comput. 216, No. 9, 2778--2782 (2010; Zbl 1193.35179) Full Text: DOI
Malik, Anand; Chand, Fakir; Mishra, S. C. Exact travelling wave solutions of some nonlinear equations by \((\frac{G'}{G})\)-expansion method. (English) Zbl 1195.35254 Appl. Math. Comput. 216, No. 9, 2596-2612 (2010). MSC: 35Q51 35C07 35A30 35A24 35C08 PDFBibTeX XMLCite \textit{A. Malik} et al., Appl. Math. Comput. 216, No. 9, 2596--2612 (2010; Zbl 1195.35254) Full Text: DOI
Inan, Ibrahim E.; Kaya, Doğan; Ugurlu, Yavuz Auto-Bäcklund transformation and similarity reductions for coupled Burger’s equation. (English) Zbl 1196.37112 Appl. Math. Comput. 216, No. 9, 2507-2511 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 37K35 PDFBibTeX XMLCite \textit{I. E. Inan} et al., Appl. Math. Comput. 216, No. 9, 2507--2511 (2010; Zbl 1196.37112) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for the integrable bidirectional sixth-order Sawada-Kotera equation. (English) Zbl 1192.35156 Appl. Math. Comput. 216, No. 8, 2317-2320 (2010). MSC: 35Q53 35C08 35A30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 216, No. 8, 2317--2320 (2010; Zbl 1192.35156) Full Text: DOI
Zhao, Hong A new algebraic procedure to construct exact solutions of nonlinear differential-difference equations. (English) Zbl 1194.34122 Appl. Math. Comput. 216, No. 4, 1219-1225 (2010). MSC: 34K05 PDFBibTeX XMLCite \textit{H. Zhao}, Appl. Math. Comput. 216, No. 4, 1219--1225 (2010; Zbl 1194.34122) Full Text: DOI
Rui, Weiguo; Zhu, Zuo-Nong Mixed function method for obtaining exact solution of nonlinear differential-difference equations and coupled NDDEs. (English) Zbl 1205.34006 Appl. Math. Comput. 216, No. 5, 1501-1512 (2010). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A33 34A05 PDFBibTeX XMLCite \textit{W. Rui} and \textit{Z.-N. Zhu}, Appl. Math. Comput. 216, No. 5, 1501--1512 (2010; Zbl 1205.34006) Full Text: DOI
Betchewe, Gambo; Bouetou, Thomas Bouetou; Kuetche, Kamgang Victor; Kofane, Timoleon Crepin Explicit series solutions to nonlinear evolution equations: the sine-cosine method. (English) Zbl 1185.35032 Appl. Math. Comput. 215, No. 12, 4239-4247 (2010). MSC: 35C10 35C08 35Q53 35Q55 PDFBibTeX XMLCite \textit{G. Betchewe} et al., Appl. Math. Comput. 215, No. 12, 4239--4247 (2010; Zbl 1185.35032) Full Text: DOI
Gomez Sierra, Cesar A. New exact solutions for a generalization of the Korteweg-de Vries equation (KdV6). (English) Zbl 1185.35226 Appl. Math. Comput. 216, No. 1, 357-360 (2010). MSC: 35Q53 37K10 35C08 35B10 PDFBibTeX XMLCite \textit{C. A. Gomez Sierra}, Appl. Math. Comput. 216, No. 1, 357--360 (2010; Zbl 1185.35226) Full Text: DOI
Wazwaz, Abdul-Majid; Triki, Houria Multiple soliton solutions for the sixth-order Ramani equation and a coupled Ramani equation. (English) Zbl 1185.35243 Appl. Math. Comput. 216, No. 1, 332-336 (2010). MSC: 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{H. Triki}, Appl. Math. Comput. 216, No. 1, 332--336 (2010; Zbl 1185.35243) Full Text: DOI
Gomez S, Cesar A. New traveling waves solutions to generalized Kaup-Kupershmidt and Ito equations. (English) Zbl 1185.35225 Appl. Math. Comput. 216, No. 1, 241-250 (2010). MSC: 35Q53 35C07 35A24 PDFBibTeX XMLCite \textit{C. A. Gomez S}, Appl. Math. Comput. 216, No. 1, 241--250 (2010; Zbl 1185.35225) Full Text: DOI
Bekir, Ahmet Application of the exp-function method for nonlinear differential-difference equations. (English) Zbl 1185.35312 Appl. Math. Comput. 215, No. 11, 4049-4053 (2010). MSC: 35R10 35C08 35A24 35A30 PDFBibTeX XMLCite \textit{A. Bekir}, Appl. Math. Comput. 215, No. 11, 4049--4053 (2010; Zbl 1185.35312) Full Text: DOI
Wazwaz, Abdul-Majid Four \((2 + 1)\)-dimensional integrable extensions of the Kadomtsev-Petviashvili equation. (English) Zbl 1186.37083 Appl. Math. Comput. 215, No. 10, 3631-3644 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 10, 3631--3644 (2010; Zbl 1186.37083) Full Text: DOI
Yu, Yaodong; Ma, Hong-Cai Exact solutions of the combined KdV-Burgers equation with variable coefficients. (English) Zbl 1182.35200 Appl. Math. Comput. 215, No. 10, 3534-3540 (2010). MSC: 35Q53 35Q51 35C08 35B10 PDFBibTeX XMLCite \textit{Y. Yu} and \textit{H.-C. Ma}, Appl. Math. Comput. 215, No. 10, 3534--3540 (2010; Zbl 1182.35200) Full Text: DOI
Aslan, İsmail Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method. (English) Zbl 1186.34004 Appl. Math. Comput. 215, No. 8, 3140-3147 (2009). MSC: 34A05 34K31 34A33 34A45 PDFBibTeX XMLCite \textit{İ. Aslan}, Appl. Math. Comput. 215, No. 8, 3140--3147 (2009; Zbl 1186.34004) Full Text: DOI Link
Tang, Shengqiang; Zheng, Jianxian; Huang, Wentao Travelling wave solutions for a class of generalized KdV equation. (English) Zbl 1179.65134 Appl. Math. Comput. 215, No. 7, 2768-2774 (2009). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{S. Tang} et al., Appl. Math. Comput. 215, No. 7, 2768--2774 (2009; Zbl 1179.65134) Full Text: DOI
Kudryashov, Nikolai A. Self-similar solutions of the Burgers hierarchy. (English) Zbl 1178.35321 Appl. Math. Comput. 215, No. 5, 1990-1993 (2009). MSC: 35Q51 37K05 37K35 35A30 PDFBibTeX XMLCite \textit{N. A. Kudryashov}, Appl. Math. Comput. 215, No. 5, 1990--1993 (2009; Zbl 1178.35321) Full Text: DOI arXiv
Li, Dong-Long; Zhao, Jun-Xiao New exact solutions to the \((2 + 1)\)-dimensional Ito equation: Extended homoclinic test technique. (English) Zbl 1190.60052 Appl. Math. Comput. 215, No. 5, 1968-1974 (2009). Reviewer: Constantin Vârsan (Bucureşti) MSC: 60H15 PDFBibTeX XMLCite \textit{D.-L. Li} and \textit{J.-X. Zhao}, Appl. Math. Comput. 215, No. 5, 1968--1974 (2009; Zbl 1190.60052) Full Text: DOI
Zheng, Zhi; Shan, Wen-Rui Application of exp-function method to the Whitham-Broer-Kaup shallow water model using symbolic computation. (English) Zbl 1422.76146 Appl. Math. Comput. 215, No. 6, 2390-2396 (2009). MSC: 76M25 35Q35 35C08 76B15 PDFBibTeX XMLCite \textit{Z. Zheng} and \textit{W.-R. Shan}, Appl. Math. Comput. 215, No. 6, 2390--2396 (2009; Zbl 1422.76146) Full Text: DOI
Wazwaz, Abdul-Majid A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions. (English) Zbl 1179.35278 Appl. Math. Comput. 215, No. 4, 1548-1552 (2009). MSC: 35Q51 35C08 35A30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 4, 1548--1552 (2009; Zbl 1179.35278) Full Text: DOI
Wazwaz, Abdul-Majid Four \((2+1)\)-dimensional integrable extensions of the KdV equation: multiple-soliton and multiple singular soliton solutions. (English) Zbl 1177.65162 Appl. Math. Comput. 215, No. 4, 1463-1476 (2009). MSC: 65M70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 215, No. 4, 1463--1476 (2009; Zbl 1177.65162) Full Text: DOI
Kudryashov, Nikolai A.; Sinelshchikov, Dmitry I. Exact solutions of equations for the Burgers hierarchy. (English) Zbl 1176.35146 Appl. Math. Comput. 215, No. 3, 1293-1300 (2009). MSC: 35Q51 35C11 35B10 35C08 37K10 35A30 PDFBibTeX XMLCite \textit{N. A. Kudryashov} and \textit{D. I. Sinelshchikov}, Appl. Math. Comput. 215, No. 3, 1293--1300 (2009; Zbl 1176.35146) Full Text: DOI arXiv