New analytical solitary and periodic wave solutions for generalized variable-coefficients modified KdV equation with external-force term presenting atmospheric blocking in oceans

Journal of Ocean Engineering and Science - Tập 7 - Trang 372-376 - 2022
Rehab M. El-Shiekh1,2, Mahmoud Gaballah3,4
1Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt
2College of Business Administration in Majmaah, Majmaah University, AL-Majmaah 11952, Saudi Arabia
3Department of Physics,College of Science at Al-Zulfi, Majmaah University, AL-Majmaah 11952, Saudi Arabia
4Geomagnetic and Geoelectric Department, National Research Institute of Astronomy and Geophysics (NRIAG), 11421 Helwan, Cairo, Egypt

Tài liệu tham khảo

Zhu, 2018, J. Ocean Eng. Sci., 3, 109, 10.1016/j.joes.2018.04.003 Samanta, 2020, J. Ocean Eng. Sci., 5, 279, 10.1016/j.joes.2020.01.001 Afzal, 2021, J. Ocean Eng. Sci. Borah, 2021, J. Ocean Eng. Sci., 6, 276, 10.1016/j.joes.2021.01.004 Sasmal, 2021, J. Ocean Eng. Sci., 6, 206, 10.1016/j.joes.2020.11.001 Ali, 2021, J. Ocean Eng. Sci., 6, 85, 10.1016/j.joes.2020.06.001 Meng, 2016, J. Ocean Eng. Sci., 1, 93, 10.1016/j.joes.2016.03.002 Wazwaz, 2017, J. Ocean Eng. Sci., 2, 1, 10.1016/j.joes.2016.11.001 Alquran, 2021, J. Ocean Eng. Sci. Shamseldeen, 2017, J. Ocean Eng. Sci., 2, 245, 10.1016/j.joes.2017.08.007 Huda, 2017, J. Ocean Eng. Sci., 2, 47, 10.1016/j.joes.2017.02.001 Kumar, 2019, J. Ocean Eng. Sci., 4, 252, 10.1016/j.joes.2019.04.008 Wazwaz, 2016, J. Ocean Eng. Sci., 1, 181, 10.1016/j.joes.2016.06.003 Pınar, 2018, Int. J. Non. Linear. Mech., 105, 99, 10.1016/j.ijnonlinmec.2018.06.009 El-Shiekh, 2013, Math. Methods Appl. Sci., 36, 10.1002/mma.2561 Moussa, 2011, Commun. Theor. Phys., 55, 10.1088/0253-6102/55/4/03 Korkmaz, 2020, J. King Saud Univ. - Sci., 32, 567, 10.1016/j.jksus.2018.08.013 Rezazadeh, 2019, Opt. Quantum Electron., 51, 84, 10.1007/s11082-019-1801-4 Seadawy, 2015, Phys. A Stat. Mech. Appl., 439, 124, 10.1016/j.physa.2015.07.025 Seadawy, 2016, Phys. A Stat. Mech. Appl., 455, 44, 10.1016/j.physa.2016.02.061 Seadawy, 2011, Comput. Math. Appl., 62, 3741, 10.1016/j.camwa.2011.09.023 Helal, 2012, Comput. Math. Appl., 64, 3557, 10.1016/j.camwa.2012.09.006 Seadawy, 2016, Comput. Math. Appl., 71, 201, 10.1016/j.camwa.2015.11.006 Khater, 2006, Phys. Scr., 74, 384, 10.1088/0031-8949/74/3/015 Khater, 2006, Eur. Phys. J. D, 39, 237, 10.1140/epjd/e2006-00093-3 A. Khater, A. Seadawy, M.H.-N.C. B, undefined 2000, Inis.Iaea.Org (n.d.). Khater, 2000, Phys. Scr., 62, 353, 10.1238/Physica.Regular.062a00353 Helal, 2011, Math. Phys, 62, 839 Raza, 2019, Opt. Quantum Electron., 51, 59, 10.1007/s11082-019-1773-4 Helal, 2009, Phys. Scr., 80, 035004, 10.1088/0031-8949/80/03/035004 Seadawy, 2014, Phys. Plasmas, 21, 052107, 10.1063/1.4875987 Seadawy, 2014, Comput. Math. Appl., 67, 172, 10.1016/j.camwa.2013.11.001 Seadawy, 2012, Appl. Math. Lett., 25, 687, 10.1016/j.aml.2011.09.030 Khater, 2003, Phys. Scr., 67, 340, 10.1238/Physica.Regular.067a00340 Khater, 2001, Phys.Scr., 64, 533, 10.1238/Physica.Regular.064a00533 Seadawy, 2015, Comput. Math. Appl., 70, 345, 10.1016/j.camwa.2015.04.015 Seadawy, 2013, Math. Comput. Model., 57, 1371, 10.1016/j.mcm.2012.11.026 Raza, 2019, Opt. Quantum Electron., 51, 107, 10.1007/s11082-019-1813-0 Gao, 2020, Opt. Quantum Electron., 52, 52, 10.1007/s11082-019-2162-8 Lü, 2016, Nonlinear Dyn., 85, 1217, 10.1007/s11071-016-2755-8 Gao, 2017, Nonlinear Dyn., 89, 2233, 10.1007/s11071-017-3581-3 Lü, 2015, Appl. Math. Model., 39, 3221, 10.1016/j.apm.2014.10.046 Gao, 2016, Comput. Math. with Appl., 72, 1225, 10.1016/j.camwa.2016.06.008 Chen, 2020, Commun. Nonlinear Sci. Numer.Simul., 83, 105135, 10.1016/j.cnsns.2019.105135 El-Shiekh, 2019, J. Ocean Eng. Sci. El-Shiekh, 2018, Arab J. Basic Appl. Sci., 25, 66, 10.1080/25765299.2018.1449343 Moussa, 2006, Phys. A Stat. Mech. Appl., 371, 10.1016/j.physa.2006.04.044 El-Sayed, 2015, Math. Methods Appl. Sci., 38, 10.1002/mma.3307 El-Sayed, 2014, Math. Methods Appl. Sci., 37, 10.1002/mma.2870 Moussa, 2012, Commun. Theor. Phys., 57, 10.1088/0253-6102/57/1/01 Moatimid, 2013, Appl. Math. Comput., 220 El-Shiekh, 2013, Zeitschrift Fur Naturforsch. - Sect. C J. Biosci., 68A Chen, 2019, Anal. Math. Phys., 9, 2329, 10.1007/s13324-019-00338-2 Hua, 2019, Appl. Math. Model., 74, 184, 10.1016/j.apm.2019.04.044 Yin, 2018, Comput. Math. with Appl., 76, 1275, 10.1016/j.camwa.2018.06.020 Lü, 2021, Commun. Nonlinear Sci. Numer. Simul., 95, 105612, 10.1016/j.cnsns.2020.105612 Yin, 2020, Chinese Phys. B, 29, 120502, 10.1088/1674-1056/aba9c4 He, 2021, Anal. Math. Phys., 11, 4, 10.1007/s13324-020-00414-y Chen, 2021, Commun. Nonlinear Sci. Numer.Simul., 95, 105628, 10.1016/j.cnsns.2020.105628 Xia, 2020, Commun. Nonlinear Sci. Numer. Simul., 90, 105260, 10.1016/j.cnsns.2020.105260 El-Shiekh, 2018, Comput. Math. Appl., 75, 1676, 10.1016/j.camwa.2017.11.031 El-Shiekh, 2019, Results Phys., 102214, 10.1016/j.rinp.2019.102214 El-Shiekh, 2020, Int. J. Nonlinear Sci. Numer. Simul. El-Shiekh, 2020, J. Taibah Univ. Sci., 14, 783, 10.1080/16583655.2020.1774975 El-Shiekh, 2015, Zeitschrift Fur Naturforsch. - Sect. A J. Phys. Sci., 70 El-Shiekh, 2017, Comput. Math. with Appl., 73, 10.1016/j.camwa.2017.01.008 Moussa, 2008, Phys. Lett. Sect. A Gen. At. Solid State Phys., 372 El-Shiekh, 2021, Chinese J. Phys., 71, 341, 10.1016/j.cjph.2021.03.006 Lou, 2015, Stud. Appl. Math., 134, 372, 10.1111/sapm.12072 El-Shiekh, 2018, Zeitschrift Fur Naturforsch. - Sect. A J. Phys. Sci., 73, 207, 10.1515/zna-2017-0349 Xiao-Yan, 2006, Chinese Phys. Lett., 23, 887, 10.1088/0256-307X/23/4/035 Ji, 2019, Adv. Differ. Equations, 2019, 1, 10.1186/s13662-018-1939-6 Y.-Y. Wang, C.-Q. Su, X.-Q. Liu, J.G. Li, https://Doi.Org/10.1080/17455030.2017.1356944 28 (2017) 411–425. Guo, 2011, Appl. Math. Comput., 217, 6264 Clarkson, 1989, J. Math. Phys., 30, 2201, 10.1063/1.528613