Zhang, Zhao; Yang, Xiangyu; Li, Biao; Wazwaz, Abdul-Majid; Guo, Qi Generation mechanism of high-order rogue waves via the improved long-wave limit method: NLS case. (English) Zbl 1511.35334 Phys. Lett., A 450, Article ID 128395, 7 p. (2022). MSC: 35Q55 35Q41 35A18 35C08 37K35 37K10 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Phys. Lett., A 450, Article ID 128395, 7 p. (2022; Zbl 1511.35334) Full Text: DOI
Kumar, Vikas; Wazwaz, Abdul-Majid Lie symmetry analysis and soliton solutions for complex short pulse equation. (English) Zbl 1502.78031 Waves Random Complex Media 32, No. 2, 968-979 (2022). MSC: 78A60 78A10 35C08 37K40 34A34 17B81 PDFBibTeX XMLCite \textit{V. Kumar} and \textit{A.-M. Wazwaz}, Waves Random Complex Media 32, No. 2, 968--979 (2022; Zbl 1502.78031) Full Text: DOI
Rashed, Ahmed S.; Mabrouk, Samah M.; Wazwaz, Abdul-Majid Forward scattering for non-linear wave propagation in \((3 + 1)\)-dimensional Jimbo-Miwa equation using singular manifold and group transformation methods. (English) Zbl 1505.76128 Waves Random Complex Media 32, No. 2, 663-675 (2022). MSC: 76X05 76M60 37N10 37N20 35P25 PDFBibTeX XMLCite \textit{A. S. Rashed} et al., Waves Random Complex Media 32, No. 2, 663--675 (2022; Zbl 1505.76128) Full Text: DOI
Wang, Gangwei; Wazwaz, Abdul-Majid A new \((3+1)\)-Dimensional KdV equation and mkdv equation with their corresponding fractional forms. (English) Zbl 1504.35456 Fractals 30, No. 4, Article ID 2250081, 8 p. (2022). MSC: 35Q53 35C08 37K40 26A33 35R11 PDFBibTeX XMLCite \textit{G. Wang} and \textit{A.-M. Wazwaz}, Fractals 30, No. 4, Article ID 2250081, 8 p. (2022; Zbl 1504.35456) Full Text: DOI
Wang, Gangwei; Wazwaz, Abdul-Majid Perturbation, symmetry analysis, Bäcklund and reciprocal transformation for the extended Boussinesq equation in fluid mechanics. (English) Zbl 1521.76736 Commun. Theor. Phys. 73, No. 4, Article ID 045003, 8 p. (2021). MSC: 76M60 35Q35 35Q51 35B06 76B15 35C08 37K35 PDFBibTeX XMLCite \textit{G. Wang} and \textit{A.-M. Wazwaz}, Commun. Theor. Phys. 73, No. 4, Article ID 045003, 8 p. (2021; Zbl 1521.76736) Full Text: DOI
Wazwaz, Abdul-Majid A variety of multiple-soliton solutions for the integrable \((4+1)\)-dimensional Fokas equation. (English) Zbl 07671589 Waves Random Complex Media 31, No. 1, 46-56 (2021). MSC: 35C08 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Waves Random Complex Media 31, No. 1, 46--56 (2021; Zbl 07671589) Full Text: DOI
Ma, Yu-Lan; Wazwaz, Abdul-Majid; Li, Bang-Qing A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves. (English) Zbl 07428971 Math. Comput. Simul. 187, 505-519 (2021). MSC: 35-XX 37-XX PDFBibTeX XMLCite \textit{Y.-L. Ma} et al., Math. Comput. Simul. 187, 505--519 (2021; Zbl 07428971) Full Text: DOI
Xu, Gui-Qiong; Wazwaz, Abdul-Majid Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion. (English) Zbl 1516.37122 Nonlinear Dyn. 101, No. 1, 581-595 (2020). MSC: 37K40 37K10 35C08 35Q51 PDFBibTeX XMLCite \textit{G.-Q. Xu} and \textit{A.-M. Wazwaz}, Nonlinear Dyn. 101, No. 1, 581--595 (2020; Zbl 1516.37122) Full Text: DOI
Wazwaz, Abdul-Majid Painlevé analysis for Boiti-Leon-Manna-Pempinelli equation of higher dimensions with time-dependent coefficients: multiple soliton solutions. (English) Zbl 1475.35112 Phys. Lett., A 384, No. 16, Article ID 126310, 5 p. (2020). MSC: 35C08 35A22 37K10 68W30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Lett., A 384, No. 16, Article ID 126310, 5 p. (2020; Zbl 1475.35112) Full Text: DOI
Wazwaz, Abdul-Majid Two new Painlevé-integrable (2+1) and (3+1)-dimensional KdV equations with constant and time-dependent coefficients. (English) Zbl 1479.35752 Nucl. Phys., B 954, Article ID 115009, 10 p. (2020). MSC: 35Q53 35Q51 35C08 37K10 35A25 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nucl. Phys., B 954, Article ID 115009, 10 p. (2020; Zbl 1479.35752) Full Text: DOI
Wazwaz, Abdul-Majid New integrable (2+1)- and (3+1)-dimensional sinh-Gordon equations with constant and time-dependent coefficients. (English) Zbl 1448.35458 Phys. Lett., A 384, No. 23, Article ID 126529, 8 p. (2020). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Lett., A 384, No. 23, Article ID 126529, 8 p. (2020; Zbl 1448.35458) Full Text: DOI
Wazwaz, Abdul-Majid A \((2+1)\)-dimensional time-dependent Date-Jimbo-Kashiwara-Miwa equation: Painlevé integrability and multiple soliton solutions. (English) Zbl 1443.35143 Comput. Math. Appl. 79, No. 4, 1145-1149 (2020). MSC: 35Q53 35C08 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Comput. Math. Appl. 79, No. 4, 1145--1149 (2020; Zbl 1443.35143) Full Text: DOI
Wazwaz, Abdul-Majid Multiple complex soliton solutions for the integrable KdV, fifth-order Lax, modified KdV, Burgers, and Sharma-Tasso-Olver equations. (English) Zbl 07823539 Chin. J. Phys., Taipei 59, 372-378 (2019). MSC: 35Qxx 37Kxx 35Cxx PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chin. J. Phys., Taipei 59, 372--378 (2019; Zbl 07823539) Full Text: DOI
Wazwaz, Abdul-Majid The integrable Vakhnenko-Parkes (VP) and the modified Vakhnenko-parkes (MVP) equations: multiple real and complex soliton solutions. (English) Zbl 07808854 Chin. J. Phys., Taipei 57, 375-381 (2019). MSC: 35Qxx 37Kxx 35Cxx PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chin. J. Phys., Taipei 57, 375--381 (2019; Zbl 07808854) Full Text: DOI
Wazwaz, Abdul-Majid New \((2+1)\) and \((3+1)\)-dimensional integrable Boussinesq equations: multiple soliton solutions. (English) Zbl 1478.37070 J. Appl. Nonlinear Dyn. 8, No. 4, 549-556 (2019). MSC: 37K10 35C08 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, J. Appl. Nonlinear Dyn. 8, No. 4, 549--556 (2019; Zbl 1478.37070) Full Text: DOI
Liu, Wei; Wazwaz, Abdul-Majid; Zheng, Xiaoxiao Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation. (English) Zbl 1508.35127 Commun. Nonlinear Sci. Numer. Simul. 67, 480-491 (2019). MSC: 35Q53 35Q51 35Q55 37K10 37K35 37K40 PDFBibTeX XMLCite \textit{W. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 67, 480--491 (2019; Zbl 1508.35127) Full Text: DOI
Xu, Gui-qiong; Wazwaz, Abdul-Majid Characteristics of integrability, bidirectional solitons and localized solutions for a (\(3+1\))-dimensional generalized breaking soliton equation. (English) Zbl 1437.37084 Nonlinear Dyn. 96, No. 3, 1989-2000 (2019). MSC: 37K10 37K40 35C08 PDFBibTeX XMLCite \textit{G.-q. Xu} and \textit{A.-M. Wazwaz}, Nonlinear Dyn. 96, No. 3, 1989--2000 (2019; Zbl 1437.37084) Full Text: DOI
Wazwaz, Abdul-Majid; Kaur, Lakhveer Complex simplified Hirota’s forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation. (English) Zbl 1432.37093 Nonlinear Dyn. 95, No. 3, 2209-2215 (2019). MSC: 37K40 37K10 35Q51 35B06 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{L. Kaur}, Nonlinear Dyn. 95, No. 3, 2209--2215 (2019; Zbl 1432.37093) Full Text: DOI
Wazwaz, Abdul-Majid; Kaur, Lakhveer New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions. (English) Zbl 1430.37078 Nonlinear Dyn. 97, No. 1, 83-94 (2019). MSC: 37K10 35Q35 37K40 35C08 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{L. Kaur}, Nonlinear Dyn. 97, No. 1, 83--94 (2019; Zbl 1430.37078) Full Text: DOI
Wazwaz, Abdul-Majid Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations. (English) Zbl 1410.35188 Appl. Math. Lett. 88, 1-7 (2019). MSC: 35Q53 37K10 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 88, 1--7 (2019; Zbl 1410.35188) Full Text: DOI
Kaur, Lakhveer; Wazwaz, Abdul-Majid Painlevé analysis and invariant solutions of generalized fifth-order nonlinear integrable equation. (English) Zbl 1422.37047 Nonlinear Dyn. 94, No. 4, 2469-2477 (2018). MSC: 37K10 PDFBibTeX XMLCite \textit{L. Kaur} and \textit{A.-M. Wazwaz}, Nonlinear Dyn. 94, No. 4, 2469--2477 (2018; Zbl 1422.37047) Full Text: DOI
Kaur, Lakhveer; Wazwaz, Abdul-Majid New exact solutions to extended \((3+1)\)-dimensional Jimbo-Miwa equations by using bilinear forms. (English) Zbl 1477.37074 Math. Methods Appl. Sci. 41, No. 17, 7566-7575 (2018). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{L. Kaur} and \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 41, No. 17, 7566--7575 (2018; Zbl 1477.37074) Full Text: DOI
Wazwaz, Abdul-Majid Negative-order integrable modified KdV equations of higher orders. (English) Zbl 1398.37086 Nonlinear Dyn. 93, No. 3, 1371-1376 (2018). MSC: 37M10 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nonlinear Dyn. 93, No. 3, 1371--1376 (2018; Zbl 1398.37086) Full Text: DOI
Wazwaz, Abdul-Majid Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form. (English) Zbl 1390.37117 Nonlinear Dyn. 91, No. 2, 877-883 (2018). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nonlinear Dyn. 91, No. 2, 877--883 (2018; Zbl 1390.37117) Full Text: DOI
Wazwaz, Abdul-Majid A new integrable equation that combines the KdV equation with the negative-order KdV equation. (English) Zbl 1383.35184 Math. Methods Appl. Sci. 41, No. 1, 80-87 (2018). MSC: 35Q51 35Q53 37K10 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 41, No. 1, 80--87 (2018; Zbl 1383.35184) Full Text: DOI
Wazwaz, Abdul-Majid A variety of soliton solutions for the Boussinesq-Burgers equation and the higher-order Boussinesq-Burgers equation. (English) Zbl 1488.35493 Filomat 31, No. 3, 831-840 (2017). MSC: 35Q53 35C08 37K40 76B25 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Filomat 31, No. 3, 831--840 (2017; Zbl 1488.35493) Full Text: DOI
Wazwaz, Abdul-Majid; El-Tantawy, S. A. New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions. (English) Zbl 1373.37161 Nonlinear Dyn. 87, No. 4, 2457-2461 (2017). MSC: 37K10 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{S. A. El-Tantawy}, Nonlinear Dyn. 87, No. 4, 2457--2461 (2017; Zbl 1373.37161) Full Text: DOI
Talati, Daryoush; Wazwaz, Abdul-Majid Some new integrable systems of two-component fifth-order equations. (English) Zbl 1372.37118 Nonlinear Dyn. 87, No. 2, 1111-1120 (2017). MSC: 37K10 PDFBibTeX XMLCite \textit{D. Talati} and \textit{A.-M. Wazwaz}, Nonlinear Dyn. 87, No. 2, 1111--1120 (2017; Zbl 1372.37118) Full Text: DOI arXiv
Wazwaz, Abdul-Majid A study on a two-wave mode Kadomtsev-Petviashvili equation: conditions for multiple soliton solutions to exist. (English) Zbl 1371.35263 Math. Methods Appl. Sci. 40, No. 11, 4128-4133 (2017). MSC: 35Q53 35Q51 37K10 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 40, No. 11, 4128--4133 (2017; Zbl 1371.35263) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions and other exact solutions for a two-mode KdV equation. (English) Zbl 1364.35303 Math. Methods Appl. Sci. 40, No. 6, 2277-2283 (2017). MSC: 35Q51 35Q53 37K10 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 40, No. 6, 2277--2283 (2017; Zbl 1364.35303) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions for extended \((3 + 1)\)-dimensional Jimbo-Miwa equations. (English) Zbl 1353.65109 Appl. Math. Lett. 64, 21-26 (2017). MSC: 65M99 37K10 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 64, 21--26 (2017; Zbl 1353.65109) Full Text: DOI
Wazwaz, Abdul-Majid; Xu, Gui-qiong An extended modified KdV equation and its Painlevé integrability. (English) Zbl 1371.35264 Nonlinear Dyn. 86, No. 3, 1455-1460 (2016). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{G.-q. Xu}, Nonlinear Dyn. 86, No. 3, 1455--1460 (2016; Zbl 1371.35264) Full Text: DOI
Wazwaz, Abdul-Majid; El-Tantawy, S. A. A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions. (English) Zbl 1351.37251 Nonlinear Dyn. 83, No. 3, 1529-1534 (2016). MSC: 37K10 35Q53 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{S. A. El-Tantawy}, Nonlinear Dyn. 83, No. 3, 1529--1534 (2016; Zbl 1351.37251) Full Text: DOI
Wazwaz, Abdul-Majid Gaussian solitary wave solutions for nonlinear evolution equations with logarithmic nonlinearities. (English) Zbl 1349.35057 Nonlinear Dyn. 83, No. 1-2, 591-596 (2016). MSC: 35C08 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Nonlinear Dyn. 83, No. 1--2, 591--596 (2016; Zbl 1349.35057) Full Text: DOI
Xu, Gui-Qiong; Wazwaz, Abdul-Majid New bilinearization, Bäcklund transformation and infinite conservation laws for the KdV6 equation with Bell polynomials. (English) Zbl 1343.37058 Math. Methods Appl. Sci. 39, No. 10, 2716-2721 (2016). MSC: 37K05 37K35 37K20 35Q53 PDFBibTeX XMLCite \textit{G.-Q. Xu} and \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 39, No. 10, 2716--2721 (2016; Zbl 1343.37058) Full Text: DOI
Wazwaz, Abdul-Majid New \((3+1)\)-dimensional nonlinear equations with KdV equation constituting its main part: multiple soliton solutions. (English) Zbl 1339.35274 Math. Methods Appl. Sci. 39, No. 4, 886-891 (2016). MSC: 35Q53 35B25 35Q51 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 39, No. 4, 886--891 (2016; Zbl 1339.35274) Full Text: DOI
Wazwaz, Abdul-Majid; Xu, Gui-Qiong Negative-order modified KdV equations: multiple soliton and multiple singular soliton solutions. (English) Zbl 1339.35275 Math. Methods Appl. Sci. 39, No. 4, 661-667 (2016). MSC: 35Q53 35B25 35Q51 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{G.-Q. Xu}, Math. Methods Appl. Sci. 39, No. 4, 661--667 (2016; Zbl 1339.35275) Full Text: DOI
Wazwaz, Abdul-Majid Kadomtsev-Petviashvili hierarchy: \(N\)-soliton solutions and distinct dispersion relations. (English) Zbl 1332.35068 Appl. Math. Lett. 52, 74-79 (2016). MSC: 35C08 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 52, 74--79 (2016; Zbl 1332.35068) Full Text: DOI
Wazwaz, Abdul-Majid New \((3+1)\)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: multiple soliton solutions. (English) Zbl 1352.37181 Chaos Solitons Fractals 76, 93-97 (2015). MSC: 37K40 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chaos Solitons Fractals 76, 93--97 (2015; Zbl 1352.37181) Full Text: DOI
Wazwaz, Abdul-Majid A variety of \((3+1)\)-dimensional Burgers equations derived by using the Burgers recursion operator. (English) Zbl 1342.37071 Math. Methods Appl. Sci. 38, No. 12, 2642-2649 (2015). MSC: 37K40 35C08 35Q35 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 38, No. 12, 2642--2649 (2015; Zbl 1342.37071) Full Text: DOI
Wazwaz, Abdul-Majid A KdV6 hierarchy: integrable members with distinct dispersion relations. (English) Zbl 1319.35230 Appl. Math. Lett. 45, 86-92 (2015). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 45, 86--92 (2015; Zbl 1319.35230) Full Text: DOI
Wazwaz, Abdul-Majid A coupled Ramani equation: multiple soliton solutions. (English) Zbl 1301.35142 J. Math. Chem. 52, No. 8, 2133-2140 (2014). MSC: 35Q53 35C08 37K40 35Q51 37K10 37K35 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, J. Math. Chem. 52, No. 8, 2133--2140 (2014; Zbl 1301.35142) Full Text: DOI
Wazwaz, Abdul-Majid Couplings of a fifth order nonlinear integrable equation: multiple kink solutions. (English) Zbl 1290.35233 Comput. Fluids 84, 97-99 (2013). MSC: 35Q53 37K10 35A30 76B25 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Comput. Fluids 84, 97--99 (2013; Zbl 1290.35233) Full Text: DOI
Wazwaz, Abdul-Majid A variety of distinct kinds of multiple soliton solutions for a \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1510.35112 Math. Methods Appl. Sci. 36, No. 3, 349-357 (2013). MSC: 35C08 35B25 35Q51 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 36, No. 3, 349--357 (2013; Zbl 1510.35112) Full Text: DOI
Wazwaz, Abdul-Majid \((2+1)\)-dimensional Korteweg-de Vries (N) equations derived by using the Korteweg-de Vries recursion operator. (English) Zbl 1264.35202 Phys. Scr. 86, No. 6, Article ID 065007, 7 p. (2012). MSC: 35Q53 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 86, No. 6, Article ID 065007, 7 p. (2012; Zbl 1264.35202) Full Text: DOI
Wazwaz, Abdul-Majid Two forms of (3+1)-dimensional B-type Kadomtsev-Petviashvili equation: multiple soliton solutions. (English) Zbl 1266.37034 Phys. Scr. 86, No. 3, Article ID 035007, 6 p. (2012). MSC: 37K10 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 86, No. 3, Article ID 035007, 6 p. (2012; Zbl 1266.37034) Full Text: DOI
Wazwaz, Abdul-Majid \(N\)-soliton solutions for the sine-Gordon equation of different dimensions. (English) Zbl 1252.35113 J. Appl. Math. Inform. 30, No. 5-6, 925-934 (2012). MSC: 35C08 35B25 35Q51 37K10 35L71 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, J. Appl. Math. Inform. 30, No. 5--6, 925--934 (2012; Zbl 1252.35113) Full Text: Link
Wazwaz, Abdul-Majid A study on two coupled modified KdV systems with time-dependent and constant coefficients. (English) Zbl 1239.35144 Palest. J. Math. 1, 38-48 (2012). MSC: 35Q53 35C08 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Palest. J. Math. 1, No. 1, 38--48 (2012; Zbl 1239.35144)
Wazwaz, Abdul-Majid Multiple-kink solutions for the (3+1)-dimensional Burgers hierarchy. (English) Zbl 1260.37037 Phys. Scr. 84, No. 3, Article ID 035001, 3 p. (2011). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 84, No. 3, Article ID 035001, 3 p. (2011; Zbl 1260.37037) Full Text: DOI
Wazwaz, A. M. Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation. (English) Zbl 1237.35135 Appl. Math. Mech., Engl. Ed. 32, No. 7, 875-880 (2011). MSC: 35Q51 37K10 PDFBibTeX XMLCite \textit{A. M. Wazwaz}, Appl. Math. Mech., Engl. Ed. 32, No. 7, 875--880 (2011; Zbl 1237.35135) Full Text: DOI
Wazwaz, Abdul-Majid Comment on “A note on a study on an integrable system of coupled KdV equations”. (English) Zbl 1222.37071 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 2200-2201 (2011). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 2200--2201 (2011; Zbl 1222.37071) Full Text: DOI
Wazwaz, A. M. Generalized \((2+1)\)-dimensional breaking soliton equation. (English) Zbl 1229.35234 TWMS J. Appl. Eng. Math. 1, No. 1, 69-74 (2011). MSC: 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{A. M. Wazwaz}, TWMS J. Appl. Eng. Math. 1, No. 1, 69--74 (2011; Zbl 1229.35234)
Wazwaz, Abdul-Majid Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations. (English) Zbl 1219.35215 Math. Methods Appl. Sci. 34, No. 13, 1580-1586 (2011). MSC: 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Methods Appl. Sci. 34, No. 13, 1580--1586 (2011; Zbl 1219.35215) Full Text: DOI
Wazwaz, Abdul-Majid A new generalized fifth-order nonlinear integrable equation. (English) Zbl 1228.35190 Phys. Scr. 83, No. 3, Article ID 035003, 4 p. (2011). MSC: 35Q51 37K10 37K40 35G50 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 83, No. 3, Article ID 035003, 4 p. (2011; Zbl 1228.35190) 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
Wazwaz, Abdul-Majid Burgers hierarchy: multiple kink solutions and multiple singular kink solutions. (English) Zbl 1298.35167 J. Franklin Inst. 347, No. 3, 618-626 (2010). MSC: 35Q51 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, J. Franklin Inst. 347, No. 3, 618--626 (2010; Zbl 1298.35167) Full Text: DOI
Wazwaz, Abdul-Majid A study on an integrable system of coupled KdV equations. (English) Zbl 1222.37070 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2846-2850 (2010). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2846--2850 (2010; Zbl 1222.37070) Full Text: DOI
Wazwaz, Abdul-Majid Completely integrable coupled KdV and coupled KP systems. (English) Zbl 1222.37069 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2828-2835 (2010). MSC: 37K10 35Q40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2828--2835 (2010; Zbl 1222.37069) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions for a \((2 + 1)\)-dimensional integrable KdV6 equation. (English) Zbl 1221.35371 Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466-1472 (2010). MSC: 35Q53 37K20 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 6, 1466--1472 (2010; Zbl 1221.35371) Full Text: DOI
Wazwaz, Abdul-Majid Burgers hierarchy in \((2+1)\)-dimensions: multiple kink solutions and multiple singular kink solutions. (English) Zbl 1225.35191 Int. J. Nonlinear Sci. 10, No. 1, 3-11 (2010). MSC: 35Q51 35A22 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Int. J. Nonlinear Sci. 10, No. 1, 3--11 (2010; Zbl 1225.35191)
Wazwaz, Abdul-Majid \(N\)-soliton solutions for the Vakhnenko equation and its generalized forms. (English) Zbl 1222.37068 Phys. Scr. 82, No. 6, Article ID 065006, 7 p. (2010). MSC: 37K10 35Q51 37K40 68W30 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 82, No. 6, Article ID 065006, 7 p. (2010; Zbl 1222.37068) Full Text: DOI
Wazwaz, Abdul-Majid Soliton solutions of the KdV equation with higher-order corrections. (English) Zbl 1205.35279 Phys. Scr. 82, No. 4, Article ID 045005, 6 p. (2010). MSC: 35Q53 35Q51 35C08 37K05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 82, No. 4, Article ID 045005, 6 p. (2010; Zbl 1205.35279) Full Text: DOI
Wazwaz, Abdul-Majid Multiple kink solutions for M-component Burgers equations in (1+1)-dimensions and (2+1)-dimensions. (English) Zbl 1205.35278 Appl. Math. Comput. 217, No. 7, 3564-3570 (2010). MSC: 35Q53 35A30 35C08 37K05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 7, 3564--3570 (2010; Zbl 1205.35278) Full Text: DOI
Wazwaz, Abdul-Majid Combined equations of the Burgers hierarchy: multiple kink solutions and multiple singular kink solutions. (English) Zbl 1201.35172 Phys. Scr. 82, No. 2, Article ID 025001, 6 p. (2010). MSC: 35Q53 37K10 37K35 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 82, No. 2, Article ID 025001, 6 p. (2010; Zbl 1201.35172) Full Text: DOI
Triki, Houria; Wazwaz, Abdul-Majid Bright soliton solution to a generalized Burgers-KdV equation with time-dependent coefficients. (English) Zbl 1200.35272 Appl. Math. Comput. 217, No. 2, 466-471 (2010). MSC: 35Q53 35C08 35B30 37K05 37K10 PDFBibTeX XMLCite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Appl. Math. Comput. 217, No. 2, 466--471 (2010; Zbl 1200.35272) Full Text: DOI
Wazwaz, Abdul-Majid; Triki, Houria Bright solitons and multiple soliton solutions for coupled modified KdV equations with time-dependent coefficients. (English) Zbl 1200.35276 Phys. Scr. 82, No. 1, Article ID 015001, 6 p. (2010). MSC: 35Q53 35Q51 37K10 35C08 76D10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz} and \textit{H. Triki}, Phys. Scr. 82, No. 1, Article ID 015001, 6 p. (2010; Zbl 1200.35276) Full Text: DOI
Wazwaz, Abdul-Majid Integrable \((2+1)\)-dimensional and \((3+1)\)-dimensional breaking soliton equations. (English) Zbl 1191.35226 Phys. Scr. 81, No. 3, Article ID 035005, 5 p. (2010). MSC: 35Q51 35C08 35A24 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 81, No. 3, Article ID 035005, 5 p. (2010; Zbl 1191.35226) Full Text: DOI
Triki, Houria; Wazwaz, Abdul-Majid Soliton solution for an inhomogeneous highly dispersive media with a dual-power nonlinearity law. (English) Zbl 1190.35193 Int. J. Comput. Math. 87, No. 5, 1178-1185 (2010). MSC: 35Q51 35Q55 37K10 35C08 PDFBibTeX XMLCite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Int. J. Comput. Math. 87, No. 5, 1178--1185 (2010; Zbl 1190.35193) Full Text: DOI
Wazwaz, Abdul-Majid \(M\)-component nonlinear evolution equations: multiple soliton solutions. (English) Zbl 1191.35241 Phys. Scr. 81, No. 5, Article ID 055004, 7 p. (2010). MSC: 35Q53 35C08 37K10 35-04 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Scr. 81, No. 5, Article ID 055004, 7 p. (2010; Zbl 1191.35241) 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
Triki, Houria; Wazwaz, Abdul-Majid Bright and dark soliton solutions for a \(K(m,n)\) equation with \(t\)-dependent coefficients. (English) Zbl 1229.35232 Phys. Lett., A 373, No. 25, 2162-2165 (2009). MSC: 35Q51 35Q41 35C08 37K10 PDFBibTeX XMLCite \textit{H. Triki} and \textit{A.-M. Wazwaz}, Phys. Lett., A 373, No. 25, 2162--2165 (2009; Zbl 1229.35232) Full Text: DOI
Wazwaz, Abdul-Majid Multiple kink solutions and multiple singular kink solutions for (2+1)-dimensional nonlinear models generated by the Jaulent-Miodek hierarchy. (English) Zbl 1229.37100 Phys. Lett., A 373, No. 21, 1844-1846 (2009). MSC: 37L05 35C08 35Q51 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Lett., A 373, No. 21, 1844--1846 (2009; Zbl 1229.37100) Full Text: DOI
Wazwaz, Abdul-Majid Two systems of two-component integrable equations: multiple soliton solutions and multiple singular soliton solutions. (English) Zbl 1159.35433 Appl. Math. Comput. 207, No. 2, 397-405 (2009). MSC: 35Q58 35Q51 37K35 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 207, No. 2, 397--405 (2009; Zbl 1159.35433) Full Text: DOI
Wazwaz, Abdul-Majid Multiple soliton solutions and multiple singular soliton solutions for two integrable systems. (English) Zbl 1227.35126 Phys. Lett., A 372, No. 46, 6879-6886 (2008). MSC: 35C08 35L81 37K15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Phys. Lett., A 372, No. 46, 6879--6886 (2008; Zbl 1227.35126) Full Text: DOI
Wazwaz, Abdul-Majid The KdV equation. (English) Zbl 1185.35242 Dafermos, C.M.(ed.) et al., Handbook of differential equations: Evolutionary equations. Vol. IV. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53034-9/hbk). Handbook of Differential Equations, 485-568 (2008). Reviewer: Vladimir Răsvan (Craiova) MSC: 35Q53 35-02 37K10 35Q51 35C08 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, in: Handbook of differential equations: Evolutionary equations. Vol. IV. Amsterdam: Elsevier/North-Holland. 485--568 (2008; Zbl 1185.35242)
Wazwaz, Abdul-Majid Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation. (English) Zbl 1157.65461 Appl. Math. Comput. 203, No. 1, 277-283 (2008). MSC: 65M70 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 203, No. 1, 277--283 (2008; Zbl 1157.65461) Full Text: DOI
Wazwaz, Abdul-Majid Erratum to: “Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation”. (English) Zbl 1188.65141 Appl. Math. Comput. 206, No. 2, 1005 (2008). MSC: 65M70 35Q51 35Q53 37K10 37K40 37M05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 206, No. 2, 1005 (2008; Zbl 1188.65141) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions for the generalized \((1+1)\)-dimensional and the generalized \((2+1)\)-dimensional Itô equations. (English) Zbl 1147.65085 Appl. Math. Comput. 202, No. 2, 840-849 (2008). MSC: 65M70 35Q51 35Q53 37K10 37K40 37M05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 202, No. 2, 840--849 (2008; Zbl 1147.65085) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations. (English) Zbl 1155.35446 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 584-592 (2008). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 584--592 (2008; Zbl 1155.35446) Full Text: DOI
Wazwaz, Abdul-Majid New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations. (English) Zbl 1131.35385 Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 331-339 (2008). MSC: 35Q53 37K40 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 2, 331--339 (2008; Zbl 1131.35385) Full Text: DOI
Wazwaz, Abdul-Majid Multiple-soliton solutions for the KP equation by Hirota’s bilinear method and by the tanh-coth method. (English) Zbl 1243.35148 Appl. Math. Comput. 190, No. 1, 633-640 (2007). MSC: 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 190, No. 1, 633--640 (2007; Zbl 1243.35148) Full Text: DOI
Wazwaz, Abdul-Majid New solitons and kink solutions for the Gardner equation. (English) Zbl 1118.35352 Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1395-1404 (2007). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 8, 1395--1404 (2007; Zbl 1118.35352) Full Text: DOI
Wazwaz, Abdul-Majid Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities. (English) Zbl 1111.35316 Commun. Nonlinear Sci. Numer. Simul. 12, No. 6, 904-909 (2007). MSC: 35Q53 37K40 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 6, 904--909 (2007; Zbl 1111.35316) Full Text: DOI
Wazwaz, Abdul-Majid The variable separated ODE method for a reliable treatment for the Liouville equation and its variants. (English) Zbl 1110.35079 Commun. Nonlinear Sci. Numer. Simul. 12, No. 4, 434-446 (2007). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 4, 434--446 (2007; Zbl 1110.35079) Full Text: DOI
Wazwaz, Abdul-Majid Analytic study on nonlinear variants of the RLW and the PHI-four equations. (English) Zbl 1109.35099 Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 314-327 (2007). MSC: 35Q53 76B15 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 12, No. 3, 314--327 (2007; Zbl 1109.35099) Full Text: DOI
Wazwaz, Abdul-Majid Explicit and implicit solutions for the one-dimensional cubic and quintic complex Ginzburg-Landau equations. (English) Zbl 1118.35358 Appl. Math. Lett. 19, No. 10, 1007-1012 (2006). MSC: 35Q55 35C05 37J45 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Lett. 19, No. 10, 1007--1012 (2006; Zbl 1118.35358) Full Text: DOI
Wazwaz, Abdul-Majid Peakons, kinks, compactons and solitary patterns solutions for a family of Camassa-Holm equations by using new hyperbolic schemes. (English) Zbl 1106.65109 Appl. Math. Comput. 182, No. 1, 412-424 (2006). MSC: 65P10 37K10 37M15 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 182, No. 1, 412--424 (2006; Zbl 1106.65109) Full Text: DOI
Wazwaz, Abdul-Majid Compactons, solitons and periodic solutions for some forms of nonlinear Klein–Gordon equations. (English) Zbl 1099.35125 Chaos Solitons Fractals 28, No. 4, 1005-1013 (2006). MSC: 35Q53 37K40 35C05 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Chaos Solitons Fractals 28, No. 4, 1005--1013 (2006; Zbl 1099.35125) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method for compact and noncompact solutions for variants of the KdV-Burgers and the \(K(n,n)\)-Burgers equations. (English) Zbl 1091.35535 Physica D 213, No. 2, 147-151 (2006). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Physica D 213, No. 2, 147--151 (2006; Zbl 1091.35535) Full Text: DOI
Wazwaz, Abdul-Majid Reliable analysis for nonlinear Schrödinger equations with a cubic nonlinearity and a power law nonlinearity. (English) Zbl 1094.35122 Math. Comput. Modelling 43, No. 1-2, 178-184 (2006). MSC: 35Q55 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Math. Comput. Modelling 43, No. 1--2, 178--184 (2006; Zbl 1094.35122) Full Text: DOI
Wazwaz, Abdul-Majid Analytic study of the fifth order integrable nonlinear evolution equations by using the tanh method. (English) Zbl 1134.35394 Appl. Math. Comput. 174, No. 1, 289-299 (2006). MSC: 35Q53 35A25 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 174, No. 1, 289--299 (2006; Zbl 1134.35394) Full Text: DOI
Wazwaz, Abdul-Majid A variety of exact wave solutions with distinct physical structures for the Boussinesq system. (English) Zbl 1078.35094 Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 376-390 (2006). MSC: 35Q35 37K40 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 376--390 (2006; Zbl 1078.35094) Full Text: DOI
Wazwaz, Abdul-Majid Exact and explicit travelling wave solutions for the nonlinear Drinfeld–Sokolov system. (English) Zbl 1078.35093 Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 311-325 (2006). MSC: 35Q35 37K40 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 3, 311--325 (2006; Zbl 1078.35093) Full Text: DOI
Wazwaz, Abdul-Majid The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. (English) Zbl 1078.35108 Commun. Nonlinear Sci. Numer. Simul. 11, No. 2, 148-160 (2006). MSC: 35Q53 37K40 35C05 65M99 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Commun. Nonlinear Sci. Numer. Simul. 11, No. 2, 148--160 (2006; Zbl 1078.35108) Full Text: DOI
Wazwaz, Abdul-Majid Compact and noncompact structures for variations of the KdV equation. (English) Zbl 1121.35339 Int. J. Appl. Math. 18, No. 2, 213-221 (2005). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Int. J. Appl. Math. 18, No. 2, 213--221 (2005; Zbl 1121.35339)
Wazwaz, Abdul-Majid Compact and noncompact physical structures for the ZK-BBM equation. (English) Zbl 1078.35527 Appl. Math. Comput. 169, No. 1, 713-725 (2005). MSC: 35Q53 37K40 35B10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 169, No. 1, 713--725 (2005; Zbl 1078.35527) Full Text: DOI
Wazwaz, Abdul-Majid Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations. (English) Zbl 1078.35109 Appl. Math. Comput. 169, No. 1, 639-656 (2005). MSC: 35Q53 37K40 35C05 65M99 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 169, No. 1, 639--656 (2005; Zbl 1078.35109) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method for a reliable treatment of the K(\(n\), \(n\)) and the KP(\(n\), \(n\)) equations and its variants. (English) Zbl 1082.65586 Appl. Math. Comput. 170, No. 1, 361-379 (2005). MSC: 65M70 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 170, No. 1, 361--379 (2005; Zbl 1082.65586) Full Text: DOI
Wazwaz, Abdul-Majid The Camassa-Holm-KP equations with compact and noncompact travelling wave solutions. (English) Zbl 1078.35095 Appl. Math. Comput. 170, No. 1, 347-360 (2005). MSC: 35Q35 37K40 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 170, No. 1, 347--360 (2005; Zbl 1078.35095) Full Text: DOI
Wazwaz, Abdul-Majid The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations. (English) Zbl 1082.65585 Appl. Math. Comput. 167, No. 2, 1196-1210 (2005). MSC: 65M70 35Q53 37K10 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 167, No. 2, 1196--1210 (2005; Zbl 1082.65585) Full Text: DOI