Related Experiment Video
Updated: Apr 12, 2026

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
Published on: December 1, 2023
A generalized simplest equation method and its application to the Boussinesq-Burgers equation
1College of Sciences, Inner Mongolia University of Technology, Hohhot, Inner Mongolia, PR China.
Abstract:
In this paper, a generalized simplest equation method is proposed to seek exact solutions of nonlinear evolution equations (NLEEs). In the method, we chose a solution expression with a variable coefficient and a variable coefficient ordinary differential auxiliary equation. This method can yield a Bäcklund transformation between NLEEs and a related constraint equation. By dealing with the constraint equation, we can derive infinite number of exact solutions for NLEEs. These solutions include the traveling wave solutions, non-traveling wave solutions, multi-soliton solutions, rational solutions, and other types of solutions. As applications, we obtained wide classes of exact solutions for the Boussinesq-Burgers equation by using the generalized simplest equation method.
More Related Videos
Related Concept Videos
Couette Flow
Bernoulli's Principle
Bernoulli's principle has several...
Euler's Equations of Motion
Energy Conservation and Bernoulli's Equation
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
The Buckingham Pi Theorem
Relation between Mathematical Equations and Block Diagrams

