Soliton: A dispersion-less solution with existence and its types

REAC Antalgic Neuro Modulation in Chronic Post Herpetic Neuralgia

“…A soliton is a type of wave that maintains its shape and amplitude as it propagates through a medium due to its self-reinforcing nature [22]. In the context of neurotransmission, the soliton effect describes the propagation of EBA signals along neurons in a manner similar to that of a soliton [23].…”

Modulational Instability of Nonlinear Wave Packets within (2+4) Korteweg–de Vries Equation

“…From the point of view of wave dynamics, the signs of the coefficients of various terms in Equation ( 1) are also important. When studying the equations of KdV hierarchy, the main focus is usually paid on solitonic solutions [18][19][20][21][22][23][24][25]: their properties, stability and the nature of interactions. Questions of the wave group dynamics within the framework of KdV-type equations are raised much less frequently.…”

Exact solutions of the $$(2+1)$$-dimensional Zoomeron model arising in nonlinear optics via mapping method

“…Nonlinear evolutionary models have demonstrated their utility in the modern era, addressing challenges spanning across physical-mathematical realms encompassing biology, engineering, chemistry, physics, and practical applications in daily life (Rasool et al 2023;Rezazadeh et al 2023;Ashraf et al 2023Ashraf et al , 2022Seadawy et al 2022;Rizvi et al 2023). These models encompass a range of challenges within nonlinear sciences, spanning from the Fokas-Lenells model ) and the BBS model (Ullah et al 2021) to the Zoomeron model (Irshad and Mohyud-din 2013; and the Biswas-Arshed model , encompassing phenomena like the KdV model (Arora et al 2022) and the Schrödingerr system (Xiang and Zuo 2022). Initially introduced by Calogero and Degasperis in 1976, the Zoomeron model describes concealed qualities and solitons observed in nonlinear physics, fluid mechanics, and laser optics Yao et al 2022).…”