Revealing abundant novel optical wave solutions of the two nonlinear models with dynamical behaviors: Bifurcation, chaotic, and stability analyses DOI

Md. Dulal Hossain,

Mahmoud N. Sherif,

J. R. M. Borhan

et al.

Modern Physics Letters A, Journal Year: 2025, Volume and Issue: unknown

Published: May 21, 2025

The Benney–Luke equation is a nonlinear partial differential that has abundant purposes in numerous scientific domains, including shallow water waves, coastal engineering, wave theory, optics, propagation plasmas, seismic acoustics, and interaction studies. Here, we explore the novel optical solutions for as well Burgers applying new generalized [Formula: see text]-expansion technique. Additionally, bifurcation chaotic studies of equation, along with stability investigation on are conducted to elucidate mechanisms underlying derived soliton solutions. attained consequences symbolized by trigonometric, hyperbolic, rational functions, which have been used practical life explain facts come out everyday activities. Some results revealed 3D contour form selection appropriate parameters show singular kink, periodic, bell, anti-bell, anti-kink-shaped soliton. Unique features exhibited help our discovered not noticed existing outcomes. initiated expansion procedure more practical, authentic, highly effective resolving these types equations appear modern physics applied mathematics.

Language: Английский

Further exploring phase portraits, Poincaré sections and chaos identification in the coupled fractional-order nonlinear model of volatility and option pricing DOI
Wen Fu, Peng Guo, Jianming Qi

et al.

Nonlinear Dynamics, Journal Year: 2025, Volume and Issue: unknown

Published: April 8, 2025

Language: Английский

Citations

0
Revealing abundant novel optical wave solutions of the two nonlinear models with dynamical behaviors: Bifurcation, chaotic, and stability analyses DOI

Md. Dulal Hossain,

Mahmoud N. Sherif,

J. R. M. Borhan

et al.

Modern Physics Letters A, Journal Year: 2025, Volume and Issue: unknown

Published: May 21, 2025

The Benney–Luke equation is a nonlinear partial differential that has abundant purposes in numerous scientific domains, including shallow water waves, coastal engineering, wave theory, optics, propagation plasmas, seismic acoustics, and interaction studies. Here, we explore the novel optical solutions for as well Burgers applying new generalized [Formula: see text]-expansion technique. Additionally, bifurcation chaotic studies of equation, along with stability investigation on are conducted to elucidate mechanisms underlying derived soliton solutions. attained consequences symbolized by trigonometric, hyperbolic, rational functions, which have been used practical life explain facts come out everyday activities. Some results revealed 3D contour form selection appropriate parameters show singular kink, periodic, bell, anti-bell, anti-kink-shaped soliton. Unique features exhibited help our discovered not noticed existing outcomes. initiated expansion procedure more practical, authentic, highly effective resolving these types equations appear modern physics applied mathematics.

Language: Английский

Citations

0