Journal article
Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, N-soliton and other solutions
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
09 Feb 2024
Abstract
In this study, we study two generalized stochastic Korteweg-de Vries (KdV) equations. The Painleve property of these nonlinear models is tested using Kruksal's method, which establishes the model's integrability. As a result, using Hirota's bilinear approach and symbolic computation, the N-soliton solutions are constructed. In addition, the extended hyperbolic function method (EHFM), the modified Kudryashov method (MKM), and the sub-equation method (SEM) are used to acquire the bright soliton, dark soliton, singular soliton, periodic, rational, and exponential solutions. To help understand the dynamic features of the derived soliton solutions, we present a number of 2D, 3D, and contour graphs using appropriate parametric values.
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Details
- Title
- Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, N-soliton and other solutions
- Publication Details
- INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD; SINGAPORE
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Drexel University
- Web of Science ID
- WOS:001162030500004
- Scopus ID
- 2-s2.0-85185277216
- Other Identifier
- 991021860727804721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Mathematical