Weakly nonlinear electron-acoustic waves in the fluid ions propagated via a (3+1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation in plasma physics

• Published in: Results in physics 2022-02, Vol.33, p.105069, Article 105069
• Main Authors: Rehman, H.U., Seadawy, Aly R., Younis, M., Rizvi, S.T.R., Anwar, I., Baber, M.Z., Althobaiti, Ali
• Format: Article
• Language: English
• Subjects: Ion-acoustic waves; New MEDAM; Simulations; The (3+1)-dimensional gKdV-ZK equation
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.105069

In present work, we discussed the (3+1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation (gKdV-ZKe) which describes the effect of magnetic field on weak nonlinear ion-acoustic waves studied in the field of plasma comprised of cool and hot electrons. The solutions of gKdV-ZKe are acquired by new modified extended direct algebraic method (MEDAM) and are observed in the form of solitary, shock, singular, shock-singular, solitary-shock and double singular soliton solutions. Moreover, the families of rational solutions are also emerged during the derivation. The results we derive, in this article, are useful to study and verify the analytical solutions with numerical and experimental solutions in plasma physics. The obtained solutions are also illustrated graphically. •The weakly nonlinear electron-acoustic waves in plasma.•The nonlinear generalized Korteweg–de-Vries–Zakharov–Kuznetsov dynamical equation.•Weakly dispersive prorogation of waves in mathematical physics.