Kayum, Md. Abdul; Ali Akbar, M.; Osman, M. S. Stable soliton solutions to the shallow water waves and ion-acoustic waves in a plasma. (English) Zbl 1500.76111 Waves Random Complex Media 32, No. 4, 1672-1693 (2022). MSC: 76X05 35Q51 PDF BibTeX XML Cite \textit{Md. A. Kayum} et al., Waves Random Complex Media 32, No. 4, 1672--1693 (2022; Zbl 1500.76111) Full Text: DOI OpenURL
Zafar, Husna; Ali, Amir; Khan, Khalid; Sadiq, Muhammad Noveel Analytical solution of time fractional Kawahara and modified Kawahara equations by homotopy analysis method. (English) Zbl 1499.65605 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 94, 18 p. (2022). MSC: 65M99 35R11 PDF BibTeX XML Cite \textit{H. Zafar} et al., Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 94, 18 p. (2022; Zbl 1499.65605) Full Text: DOI OpenURL
Başhan, Ali Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods. (English) Zbl 07318169 Math. Comput. Simul. 179, 111-125 (2021). MSC: 35Qxx 65Mxx PDF BibTeX XML Cite \textit{A. Başhan}, Math. Comput. Simul. 179, 111--125 (2021; Zbl 07318169) Full Text: DOI OpenURL
Agarwal, P.; Hyder, Abd-Allah; Zakarya, M. Well-posedness of stochastic modified Kawahara equation. (English) Zbl 1487.60119 Adv. Difference Equ. 2020, Paper No. 18, 10 p. (2020). MSC: 60H15 35R60 35E15 35G25 PDF BibTeX XML Cite \textit{P. Agarwal} et al., Adv. Difference Equ. 2020, Paper No. 18, 10 p. (2020; Zbl 1487.60119) Full Text: DOI OpenURL
Ünal, Sevil Çulha; Daşcıoğlu, Ayşegül; Varol Bayram, Dilek New exact solutions of space and time fractional modified Kawahara equation. (English) Zbl 07531223 Physica A 551, Article ID 124550, 13 p. (2020). MSC: 82-XX 33E05 35G20 35L05 35R11 PDF BibTeX XML Cite \textit{S. Ç. Ünal} et al., Physica A 551, Article ID 124550, 13 p. (2020; Zbl 07531223) Full Text: DOI OpenURL
Bhatter, Sanjay; Mathur, Amit; Kumar, Devendra; Nisar, Kottakkaran Sooppy; Singh, Jagdev Fractional modified Kawahara equation with Mittag-Leffler law. (English) Zbl 1495.35183 Chaos Solitons Fractals 131, Article ID 109508, 6 p. (2020). MSC: 35R11 26A33 PDF BibTeX XML Cite \textit{S. Bhatter} et al., Chaos Solitons Fractals 131, Article ID 109508, 6 p. (2020; Zbl 1495.35183) Full Text: DOI OpenURL
Nasreen, Naila; Seadawy, Aly R.; Lu, Dianchen Construction of soliton solutions for modified Kawahara equation arising in shallow water waves using novel techniques. (English) Zbl 1434.35168 Int. J. Mod. Phys. B 34, No. 7, Article ID 2050045, 18 p. (2020). MSC: 35Q53 76B15 76B45 35C08 PDF BibTeX XML Cite \textit{N. Nasreen} et al., Int. J. Mod. Phys. B 34, No. 7, Article ID 2050045, 18 p. (2020; Zbl 1434.35168) Full Text: DOI OpenURL
Kwak, Chulkwang Well-posedness issues on the periodic modified Kawahara equation. (English) Zbl 1435.35336 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 373-416 (2020). MSC: 35Q53 76B15 35G25 35A01 35A02 35R25 PDF BibTeX XML Cite \textit{C. Kwak}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 37, No. 2, 373--416 (2020; Zbl 1435.35336) Full Text: DOI arXiv OpenURL
Yin, Li; Mi, Lufang; Cui, Wenyan; Lin, Xiuli Invariant tori for a nonlinearly modified Kawahara equation with periodic boundary conditions. (English) Zbl 07634260 Bound. Value Probl. 2019, No. 1, Paper No. 116, 18 p. (2019). MSC: 37K55 35Q55 46G05 46N20 PDF BibTeX XML Cite \textit{L. Yin} et al., Bound. Value Probl. 2019, No. 1, Paper No. 116, 18 p. (2019; Zbl 07634260) Full Text: DOI OpenURL
Gepreel, Khaled A.; Nofal, Taher A.; Al-Asmari, Amera A. Abundant travelling wave solutions for nonlinear Kawahara partial differential equation using extended trial equation method. (English) Zbl 1499.35535 Int. J. Comput. Math. 96, No. 7, 1357-1376 (2019). MSC: 35Q53 35C07 PDF BibTeX XML Cite \textit{K. A. Gepreel} et al., Int. J. Comput. Math. 96, No. 7, 1357--1376 (2019; Zbl 1499.35535) Full Text: DOI OpenURL
Petronilho, Gerson; da Silva, Priscila Leal On the radius of spatial analyticity for the modified Kawahara equation on the line. (English) Zbl 1427.35220 Math. Nachr. 292, No. 9, 2032-2047 (2019). MSC: 35Q40 81V10 35Q53 76W05 35A01 35A02 PDF BibTeX XML Cite \textit{G. Petronilho} and \textit{P. L. da Silva}, Math. Nachr. 292, No. 9, 2032--2047 (2019; Zbl 1427.35220) Full Text: DOI OpenURL
Başhan, Ali An efficient approximation to numerical solutions for the Kawahara equation via modified cubic B-spline differential quadrature method. (English) Zbl 07037530 Mediterr. J. Math. 16, No. 1, Paper No. 14, 19 p. (2019). MSC: 65D32 65M99 35G25 65D07 15A30 PDF BibTeX XML Cite \textit{A. Başhan}, Mediterr. J. Math. 16, No. 1, Paper No. 14, 19 p. (2019; Zbl 07037530) Full Text: DOI OpenURL
Bagherzadeh, Amir Saboor B-spline collocation method for numerical solution of nonlinear Kawahara and modified Kawahara equations. (English) Zbl 1404.65189 TWMS J. Appl. Eng. Math. 7, No. 2, 188-199 (2017). MSC: 65M70 65D07 35Q53 65M12 65M06 PDF BibTeX XML Cite \textit{A. S. Bagherzadeh}, TWMS J. Appl. Eng. Math. 7, No. 2, 188--199 (2017; Zbl 1404.65189) OpenURL
Zhang, Zaiyun; Huang, Jianhua; Liu, Zhenhai; Sun, Mingbao On the unique continuation property for the modified Kawahara equation. (English) Zbl 1363.35340 Adv. Math., Beijing 45, No. 1, 80-88 (2016). MSC: 35Q53 35B40 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Adv. Math., Beijing 45, No. 1, 80--88 (2016; Zbl 1363.35340) Full Text: DOI OpenURL
Safavi, M.; Khajehnasiri, A. A. Solutions of the modified Kawahara equation with time-and space-fractional derivatives. (English) Zbl 1344.65099 J. Mod. Methods Numer. Math. 7, No. 1, 10-18 (2016). MSC: 65M99 35R11 PDF BibTeX XML Cite \textit{M. Safavi} and \textit{A. A. Khajehnasiri}, J. Mod. Methods Numer. Math. 7, No. 1, 10--18 (2016; Zbl 1344.65099) Full Text: DOI OpenURL
Kaur, Lakhveer; Gupta, R. K. Kawahara equation and modified Kawahara equation with time dependent coefficients: symmetry analysis and generalized \(\left (\frac {G^{\prime}}{G}\right )\)-expansion method. (English) Zbl 1282.35335 Math. Methods Appl. Sci. 36, No. 5, 584-600 (2013). MSC: 35Q53 35C05 35C10 PDF BibTeX XML Cite \textit{L. Kaur} and \textit{R. K. Gupta}, Math. Methods Appl. Sci. 36, No. 5, 584--600 (2013; Zbl 1282.35335) Full Text: DOI OpenURL
Kurulay, Muhammet Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method. (English) Zbl 1387.35016 Adv. Difference Equ. 2012, Paper No. 178, 6 p. (2012). MSC: 35A23 68W30 PDF BibTeX XML Cite \textit{M. Kurulay}, Adv. Difference Equ. 2012, Paper No. 178, 6 p. (2012; Zbl 1387.35016) Full Text: DOI OpenURL
Yan, Wei; Li, Yongsheng Ill-posedness of modified Kawahara equation and Kaup-Kupershmidt equation. (English) Zbl 1265.35366 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 710-716 (2012). MSC: 35R25 35E15 35Q53 PDF BibTeX XML Cite \textit{W. Yan} and \textit{Y. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 710--716 (2012; Zbl 1265.35366) Full Text: DOI OpenURL
Hu, Jin-Yan Application of the trial equation method for solving the modified Kawahara equation. (English) Zbl 1254.34001 Far East J. Appl. Math. 66, No. 2, 145-149 (2012). MSC: 34A05 35C07 34A34 PDF BibTeX XML Cite \textit{J.-Y. Hu}, Far East J. Appl. Math. 66, No. 2, 145--149 (2012; Zbl 1254.34001) Full Text: Link OpenURL
Gepreel, Khaled A. A generalized \( (G'/G)\)-expansion method to find the traveling wave solutions of nonlinear evolution equations. (English) Zbl 1240.35452 J. Partial Differ. Equations 24, No. 1, 55-69 (2011). MSC: 35Q53 35Q51 PDF BibTeX XML Cite \textit{K. A. Gepreel}, J. Partial Differ. Equations 24, No. 1, 55--69 (2011; Zbl 1240.35452) Full Text: DOI OpenURL
Yan, Wei; Li, Yongsheng; Yang, Xingyu The Cauchy problem for the modified Kawahara equation in Sobolev spaces with low regularity. (English) Zbl 1228.35208 Math. Comput. Modelling 54, No. 5-6, 1252-1261 (2011). MSC: 35Q53 35G25 PDF BibTeX XML Cite \textit{W. Yan} et al., Math. Comput. Modelling 54, No. 5--6, 1252--1261 (2011; Zbl 1228.35208) Full Text: DOI OpenURL
Zayed, Elsayed M. E. A further improved \((\frac{G'}{G})\)-expansion method and the extended tanh-method for finding exact solutions of nonlinear PDEs. (English) Zbl 1228.35210 WSEAS Trans. Math. 10, No. 2, 56-64 (2011). MSC: 35Q53 35C07 37K10 PDF BibTeX XML Cite \textit{E. M. E. Zayed}, WSEAS Trans. Math. 10, No. 2, 56--64 (2011; Zbl 1228.35210) Full Text: Link OpenURL
Jabbari, A.; Kheiri, H. New exact traveling wave solutions for the Kawahara and modified Kawahara equations by using modified Tanh-Coth method. (English) Zbl 1265.35304 Acta Univ. Apulensis, Math. Inform. 23, 21-38 (2010). MSC: 35Q53 35C07 PDF BibTeX XML Cite \textit{A. Jabbari} and \textit{H. Kheiri}, Acta Univ. Apulensis, Math. Inform. 23, 21--38 (2010; Zbl 1265.35304) OpenURL
Demina, Maria V.; Kudryashov, Nikolay A. From Laurent series to exact meromorphic solutions: The Kawahara equation. (English) Zbl 1238.34020 Phys. Lett., A 374, No. 39, 4023-4029 (2010). MSC: 34A34 34M05 34C25 33E05 PDF BibTeX XML Cite \textit{M. V. Demina} and \textit{N. A. Kudryashov}, Phys. Lett., A 374, No. 39, 4023--4029 (2010; Zbl 1238.34020) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{H. Jia} and \textit{W. Xu}, Appl. Math. Comput. 217, No. 4, 1678--1687 (2010; Zbl 1203.35225) Full Text: DOI OpenURL
Li, Lingxiao; Li, Erqiang Solitary wave solutions for modified Kawahara equation by \((1/G)\)-expansion method. (Chinese. English summary) Zbl 1212.35392 J. Henan Univ. Sci. Technol., Nat. Sci. 30, No. 5, 78-81 (2009). MSC: 35Q51 PDF BibTeX XML Cite \textit{L. Li} and \textit{E. Li}, J. Henan Univ. Sci. Technol., Nat. Sci. 30, No. 5, 78--81 (2009; Zbl 1212.35392) OpenURL
Gao, Hua; Zhao, Rong-Xia New application of the \((\frac{G'}{G})\)-expansion method to higher-order nonlinear equations. (English) Zbl 1180.35456 Appl. Math. Comput. 215, No. 7, 2781-2786 (2009). MSC: 35Q53 35Q51 35C07 35A24 PDF BibTeX XML Cite \textit{H. Gao} and \textit{R.-X. Zhao}, Appl. Math. Comput. 215, No. 7, 2781--2786 (2009; Zbl 1180.35456) Full Text: DOI OpenURL
Jin, Lin Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation. (English) Zbl 1165.35444 Math. Comput. Modelling 49, No. 3-4, 573-578 (2009). MSC: 35Q53 35A35 65M99 PDF BibTeX XML Cite \textit{L. Jin}, Math. Comput. Modelling 49, No. 3--4, 573--578 (2009; Zbl 1165.35444) Full Text: DOI OpenURL
Jang, Bongsoo New exact travelling wave solutions of Kawahara type equations. (English) Zbl 1163.35488 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 510-515 (2009). MSC: 35Q58 35C05 PDF BibTeX XML Cite \textit{B. Jang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 1, 510--515 (2009; Zbl 1163.35488) Full Text: DOI OpenURL
Yusufoğlu, E.; Bekir, A. Symbolic computation and new families of exact travelling solutions for the Kawahara and modified Kawahara equations. (English) Zbl 1166.35371 Comput. Math. Appl. 55, No. 6, 1113-1121 (2008). MSC: 35Q53 35-04 35Q51 PDF BibTeX XML Cite \textit{E. Yusufoğlu} and \textit{A. Bekir}, Comput. Math. Appl. 55, No. 6, 1113--1121 (2008; Zbl 1166.35371) Full Text: DOI OpenURL
Tao, Shuangping; Lu, Shanzhen The initial-boundary value problem for the modified Kawahara equation on the half line. (Chinese. English summary) Zbl 1121.42305 Acta Math. Sin., Chin. Ser. 50, No. 2, 241-254 (2007). MSC: 42B25 35Q53 35G25 35G30 PDF BibTeX XML Cite \textit{S. Tao} and \textit{S. Lu}, Acta Math. Sin., Chin. Ser. 50, No. 2, 241--254 (2007; Zbl 1121.42305) OpenURL
Wazwaz, Abdul-Majid New solitary wave solutions to the modified Kawahara equation. (English) Zbl 1236.35142 Phys. Lett., A 360, No. 4-5, 588-592 (2006). MSC: 35Q51 PDF BibTeX XML Cite \textit{A.-M. Wazwaz}, Phys. Lett., A 360, No. 4--5, 588--592 (2006; Zbl 1236.35142) Full Text: DOI OpenURL
Bar, Doron E.; Nepomnyashchy, Alexander A. Stability of periodic waves governed by the modified Kawahara equation. (English) Zbl 0847.35059 Physica D 86, No. 4, 586-602 (1995). MSC: 35K55 PDF BibTeX XML Cite \textit{D. E. Bar} and \textit{A. A. Nepomnyashchy}, Physica D 86, No. 4, 586--602 (1995; Zbl 0847.35059) Full Text: DOI OpenURL