Multi-soliton and lump dynamics with sensitivity and multistability analysis in (2+1)D Caudrey–Dodd–Gibbon–Kotera–Sawada model
Year: 2026
Type: article
Abstract: The generalized (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada (CDGKS) model is investigated to understand nonlinear coherent structures and their intricate interactions. By employing Hirota’s bilinear scheme in combination with symbolic computation, we derive a spectrum of exact multi-wave solutions, encompassing two-, three-, and four-soliton configurations along with their extended forms. Particular attention is devoted to localized–periodic hybrid behaviors, highlighting the interactions between lump solutions, stripe solitons, periodic waves, and Jacobi elliptic structures. The study uncovers rich dynamical phenomena, including lump–soliton collisions, lump–periodic fusion–fission events, and the emergence of Kuznetsov–Ma breathers and rogue-wave patterns. Sensitivity analysis reveals a pronounced dependence of solution dynamics on initial conditions, whereas multistability confirms the coexistence of multiple attractors under identical parameter regimes. These contributions broaden the known solution space of the generalized CDGKS model and deepen the understanding of higher-dimensional integrable systems. Beyond theoretical insights, the results have potential relevance to applications in plasma physics, fluid dynamics, and other nonlinear physical contexts.
Source: Fundamental Plasma Physics
Institution: Uttara University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,070
OpenAlex ID: W7140120138