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- Title
A Homotopy-Based Technique to Compute Soliton Solutions of Kadomtsev–Petviashvili Equation.
- Authors
Zephania, C. F. Sagar; Sil, Tapas
- Abstract
Purpose: Kadomtsev–Petviashvili (KP) equation, a (2+1) dimensional equation, is used to model various physical systems, such as the weakly dispersive waves, two-dimensional shallow-water waves, ion-acoustic waves in plasmas, Bose–Einstein condensation, etc. The KP equation is a classical model for testing and establishing new mathematical methods. A newly proposed homotopy-based perturbation method (LH) (which worked very well in several physical systems) is employed to solve the KP equation to test its effectiveness. Methods: In LH, an expansion of frequency and a parameter (h) (to control convergence) are incorporated in the framework of the homotopy perturbation method (HPM) to improve the accuracy of solutions by retaining its simplicity. Results and conclusions: LH results are compared with those obtained from some of the available approximation methods for different parameter set values. LH method produces simple and compact analytical expressions for approximate solutions with high accuracy, which is better than HAM and HPM, especially with the higher order of approximations.
- Subjects
KADOMTSEV-Petviashvili equation; BOSE-Einstein condensation; PLASMA waves
- Publication
Journal of Vibration Engineering & Technologies, 2023, Vol 11, Issue 8, p4083
- ISSN
2523-3920
- Publication type
Article
- DOI
10.1007/s42417-022-00803-6