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
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...
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| Published in | Results in physics Vol. 33; p. 105069 |
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| Main Authors | , , , , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.02.2022
Elsevier |
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| Abstract | 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. |
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| AbstractList | 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. 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. |
| ArticleNumber | 105069 |
| Author | Seadawy, Aly R. Rizvi, S.T.R. Althobaiti, Ali Rehman, H.U. Anwar, I. Baber, M.Z. Younis, M. |
| Author_xml | – sequence: 1 givenname: H.U. surname: Rehman fullname: Rehman, H.U. organization: Department of Mathematics, University of Okara, Okara, Pakistan – sequence: 2 givenname: Aly R. surname: Seadawy fullname: Seadawy, Aly R. email: aly742001@yahoo.com organization: Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia – sequence: 3 givenname: M. surname: Younis fullname: Younis, M. organization: Department of Computer Science, University of the Punjab, Lahore, Pakistan – sequence: 4 givenname: S.T.R. orcidid: 0000-0002-1730-7864 surname: Rizvi fullname: Rizvi, S.T.R. organization: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan – sequence: 5 givenname: I. surname: Anwar fullname: Anwar, I. organization: Department of Mathematics, University of Okara, Okara, Pakistan – sequence: 6 givenname: M.Z. surname: Baber fullname: Baber, M.Z. organization: Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan – sequence: 7 givenname: Ali surname: Althobaiti fullname: Althobaiti, Ali organization: Department of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia |
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| SubjectTerms | Ion-acoustic waves New MEDAM Simulations The (3+1)-dimensional gKdV-ZK equation |
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| Title | 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 |
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