Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
Exact Analytical Solutions of the Perturbed Gerdjikov–Ivanov Equation via the Extended Auxiliary Equation Method. |
| Συγγραφείς: |
Naimh, Ali Hussein, Abbas, Abbas Allawi Haboob, Salameh, Ali Abdul Hassan |
| Πηγή: |
REMAH Journal. 2026, Vol. 3 Issue 170, p269-285. 17p. |
| Θεματικοί όροι: |
Nonlinear evolution equations, Analytical solutions, Plasma physics, Nonlinear optics, Elliptic functions, Theory of wave motion |
| Περίληψη: |
In this paper, we consider the perturbed Gerzikov–Ivanov (GI) equation, an important nonlinear evolution equation in mathematical physics with applications in nonlinear optics and plasma physics Using the extended auxiliary equation technique, we derive a realistic analytical derivative, such that periodic solutions[1,2]. With Jacobi elliptic feature solutions [3,4], the convolutional wavelet transform is used to reduce the controllable nonlinear partial differential equation to a generalized differential equation. The effectiveness of the proposed technique is proven by the development of new explicit solutions. In addition, the influence of turbulence parameters on wave dynamics has been analyzed [5,6] . The acquired results enhance the existing literature and confirm that the long-term auxiliary equation method is a powerful and efficient tool for solving nonlinear evolution equations. [ABSTRACT FROM AUTHOR] |
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