Browsing by Author "Rizvi, S.T.R."

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Citation Count: Rizvi, S.T.R...et al. (2020). "Lump and Interaction solutions of a geophysical Korteweg–de Vries equation", Results in Physics, Vol. 19.
Lump and Interaction solutions of a geophysical Korteweg–de Vries equation
(2020) Rizvi, S.T.R.; Seadawy, Aly R.; Ashraf, F.; Younis, M.; Iqbal, H.; Baleanu, Dumitru; 56389
This manuscript retrieve lump soliton solution for geophysical Korteweg–de Vries equation (GKdVE) with the help of Hirota bilinear method (HBM). We will also obtain lump–kink soliton (which is interaction of lump with one kink soliton), lump-periodic solutions (which is formed by interaction between periodic waves and lump) and lump–kink-periodic solutions (which is formed by interaction of periodic waves and lump with one kink soliton). The dynamics of these solution are examined graphically by selecting significant parameters. © 2020 The Authors
Citation Count: Rizvi, S.T.R...et al. (2021). "Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation", European Physical Journal: Special Topics, Vol. 230, No. 18-20, pp. 3519-3532.
Multi-wave, homoclinic breather, M-shaped rational and other solitary wave solutions for coupled-Higgs equation
(2021) Rizvi, S.T.R.; Seadawy, A.R.; Ashraf, M.A.; Bashir, A.; Younis, M.; Baleanu, Dumitru; 56389
In this article, we construct multi-wave, homoclinic breather, M-shaped rational and periodic cross kink wave solutions for coupled-Higgs equation (CHE) by using distinct transformations. We obtain these solutions with the aid of logarithmic transformations and symbolic computations. Moreover, we also derive some soliton wave solutions for CHE in polynomial forms. These solutions include solitary wave, soliton wave and Jacobi elliptic function solutions and are found by implementing unified technique. We will also discuss the graphical structure of our newly achieved results. © 2021, The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature.