Solitary wave solutions and other solutions for Gilson–Pickering equation by using the modified extended mapping method

Samir, Islam; Badra, Niveen; Ahmed, Hamdy M.; Arnous, Ahmed H.; Ghanem, Ahmed S.;

Abstract


In this paper, the modified extended mapping method is applied to obtain solitary wave solutions and other solutions for the Gilson–Pickering equation which describes the wave propagation in plasma physics. Many types of solutions are obtained such as shock wave, singular waves, periodic waves, singular periodic waves, Jacobi elliptic functions, plane waves, hyperbolic waves, Weierstrass elliptic solutions and exponential type solutions. Moreover, 3D graphs of some solutions are introduced for the physical illustration.


Other data

Title Solitary wave solutions and other solutions for Gilson–Pickering equation by using the modified extended mapping method
Authors Samir, Islam ; Badra, Niveen; Ahmed, Hamdy M.; Arnous, Ahmed H.; Ghanem, Ahmed S.
Keywords Exact solutions;Gilson–Pickering equation;Modified extended mapping method;Shock waves
Issue Date 1-May-2022
Journal Results in Physics 
Volume 36
DOI 10.1016/j.rinp.2022.105427
Scopus ID 2-s2.0-85127171881

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