Lump and Interaction solutions of a geophysical Korteweg–de Vries equation

• Published in: Results in physics Vol. 19; p. 103661
• Main Authors: Rizvi, S.T.R., Seadawy, Aly R., Ashraf, F., Younis, M., Iqbal, H., Baleanu, Dumitru
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01-12-2020; Elsevier
• Subjects: Geophysical Korteweg–de Vries equation(GKdVE); Hirota bilinear method; Lump soliton solutions; Geophysical Korteweg–de Vries equation(GKdVE); Lump soliton solutions; Hirota bilinear method
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2020.103661

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.
•We consider Nonlinear evolution dynamical equations.•Lump and Interaction solutions wave solutions are found.•We applied hydrodynamic mathematical methods.•Geophysical Korteweg–de Vries equation is discussed.