Related Experiment Video
Updated: Mar 18, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
Published on: September 23, 2025
Exact traveling wave solutions for system of nonlinear evolution equations
Kamruzzaman Khan1, M Ali Akbar2, Ahmed H Arnous3
1Department of Mathematics, Pabna University of Science and Technology, Pabna, 6600 Bangladesh.
Abstract:
In this work, recently deduced generalized Kudryashov method is applied to the variant Boussinesq equations, and the (2 + 1)-dimensional breaking soliton equations. As a result a range of qualitative explicit exact traveling wave solutions are deduced for these equations, which motivates us to develop, in the near future, a new approach to obtain unsteady solutions of autonomous nonlinear evolution equations those arise in mathematical physics and engineering fields. It is uncomplicated to extend this method to higher-order nonlinear evolution equations in mathematical physics. And it should be possible to apply the same method to nonlinear evolution equations having more general forms of nonlinearities by utilizing the traveling wave hypothesis.
Related Concept Videos
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,...
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
Traveling Waves: Lossless Lines
Linear Differential Equations
Differential Equations: Problem Solving
Velocity and Acceleration of a Wave
The velocity of the particles can be obtained by taking the partial derivative of the position equation with respect to time....

