Related Experiment Video
Updated: Sep 9, 2025

Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research
Published on: February 16, 2024
Nonlocal complex short pulse equation in [Formula: see text]-symmetry like symmetry breaking, breather-grammian
Zeeshan Amjad1, Faisal Javed2,3, Dragan Pamucar4
1Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, People's Republic of China.
Abstract:
Research on [Formula: see text]-symmetry and spontaneous symmetry breaking captivates contemporary scholars due to its extensive applicability in several fields, including microwave propagation and nonlinear optics. This article studies the nonlocal complex short pulse (NL-CSP) equation in which we discuss how under certain symmetry reduction general complex short pulse equation turns into NL-CSP equation. We construct the binary Darboux transformation for the reverse space-time NL-CSP equation and derive its quasi-grammian solutions. Further, we obtain explicit expressions for spontaneous symmetry-breaking and symmetry-preserving breather, interaction of breather with grammian and also the soliton solutions. It is concluded that the existence of both symmetry-breaking and symmetry-preserving solutions for NL-CSP equation. Finally, to verify the theoretical results, we illustrate the dynamics of these solutions using surface and contour plots.
More Related Videos
Related Concept Videos
Symmetry in Maxwell's Equations
Linear Approximation in Time Domain
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
Poisson's And Laplace's Equation
Traveling Waves: Lossless Lines
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Sound as Pressure Waves
The pressure fluctuation depends on the difference in displacements between the successive points in the...

