Submission Deadline: 28 February 2026
Nowadays, soliton dynamics is one of the most intriguing branches of mathematical physics having applications in diverse branches of natural and physical sciences such as optics, biological population models, signals processing, electromagnetics, and so on. The current special issue, entitled "Exploration of Soliton Dynamics in the Context of Recent Developments” aims to explore the forefront of developments in these intertwined domains. Solitons, that exhibit localized wave phenomena with the property of maintaining their energy as well as their shape during propagation, and due to the advent of fast computing tools, it is worth to investigate these areas to develop connections between geometric properties and algebraic methods exploration of this area give a fertile ground for investigating deep connections between algebraic methods.
This special issue is focused to connect researchers' contributions, for which problems related to innovations in theory of solitons are crucial in their research subjects. In this Special Issue, we kindly invite researchers to submit their original work to shed light on how the solitonic structures are helpful to model complex engineering problems. The collected papers will supply a brief but meaningful description of the principal problems in soliton dynamics and explore a wide diversity of its utilizations in many different topics. Potential topics include but are not limited to the following:
- Lie Groups analysis of differential equations
- Applications of Lie Algebraic methods
- Conservation laws and symmetry
- Inverse Scattering Method
- Soliton and Nonlinear Wave Solutions
- Integrability of Solitons
- Bifurcation and chaotic Phenomena
Submission Deadline: 28 February 2026
Nowadays, soliton dynamics is one of the most intriguing branches of mathematical physics having applications in diverse branches of natural and physical sciences such as optics, biological population models, signals processing, electromagnetics, and so on. The current special issue, entitled "Exploration of Soliton Dynamics in the Context of Recent Developments” aims to explore the forefront of developments in these intertwined domains. Solitons, that ... show more