Investigation of lump, breather and multi solitonic wave solutions to fractional nonlinear dynamical model with stability analysis

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: unknown, P. 100955 - 100955

Published: Oct. 1, 2024

Language: Английский

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Exploration of lump, interactions and rogue wave solutions to the (2 + 1)-dimensional evolution equation with bifurcation, sensitivity and stability analysis

Ain Shams Engineering Journal, Journal Year: 2024, Volume and Issue: unknown, P. 103083 - 103083

Published: Oct. 1, 2024

Language: Английский

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Dynamic of bifurcation, chaotic structure and multi soliton of fractional nonlinear Schrödinger equation arise in plasma physics

Scientific Reports, Journal Year: 2024, Volume and Issue: 14(1)

Published: Oct. 28, 2024

Abstract In this study, we examine the third-order fractional nonlinear Schrödinger equation (FNLSE) in $$(1+1)$$ -dimensional, by employing analytical methodology of new extended direct algebraic method (NEDAM) alongside optical soliton solutions. order to better understand high-order wave behaviors such systems, researched model captures physical and mathematical properties dispersive waves, with applications plasma physics optics. With aid above mentioned approach, rigorously assess novel solutions form dark, bright–dark, dark–bright, periodic, singular, rational, mixed trigonometric hyperbolic forms. Additionally, stability assessments using conserved quantities, as Hamiltonian property, consistency checks were used validate The dynamic structure governing is further examined chaos, bifurcation, sensitivity analysis. appropriate parameter values, 2D, 3D, contour plots can all be utilized graphically show data. This work advances our knowledge propagation Bose–Einstein condensates, ultrafast fibre optics, physics, among other areas higher-order chromatic effects.

Language: Английский

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Exploring the non-classical symmetry, bifurcation with sensitivity analysis of a (3 + 1)-dimensional nonlinear evolution equation

Ain Shams Engineering Journal, Journal Year: 2024, Volume and Issue: unknown, P. 103176 - 103176

Published: Nov. 1, 2024

Language: Английский

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A dimensionally reduction approach to study kink soliton and its fission and fusion process of (3+1)‐dimensional KdV‐CDG equation

International Journal of Numerical Modelling Electronic Networks Devices and Fields, Journal Year: 2024, Volume and Issue: 37(4)

Published: July 1, 2024

Abstract The Hirota bilinear (HB) is a powerful and widely used technique to find various types of solitons integrable systems. In this manuscript, we implement HB form dimensionally reduced (3+1)‐dimensional KdV–Calogero–Bogoyavlenskii–Schiff (KdV‐CBS) equation at z = x , y t . We present results for distinct auxiliary function study kink its fission fusion dynamics. MATLAB‐2020 display all the via 3D line 2D graphs appropriate values parameters. These findings provide strong new insight into nonlinear features model lay foundation future studies in soliton dynamics events related

Language: Английский

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Dynamics of Bifurcation, Chaos, Sensitivity and Diverse Soliton Solution to the Drinfeld-Sokolov-Wilson Equations Arise in Mathematical Physics

International Journal of Theoretical Physics, Journal Year: 2024, Volume and Issue: 63(9)

Published: Aug. 29, 2024

Language: Английский

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