In this article, we employ the sine-Gordon expansion method to construct a new solitary and optical wave structures to the (1 + 1)-dimensional combined KdV–mKdV equation. ...

An optimization strategy for complex thermal systems is presented. The strategy is based on conventional techniques and incorporates assumptions and consequences of the ...

In his 1932 lectures on "Beruhrungstransformationen", Guztav Herglotz gave an algorithm for constructing canonical transformations. We present Herglotz's technique, which ...

The Laplace equation for an ellipse is solved by the method of separation of variables. The resulting one-dimensional differential equations are solved with Mathieu ...

A new method for the computation of conserved densities of nonlinear differential-difference equations is applied to Toda lattices and discretizations of the Korteweg-de ...

Tutorial intended for students using Mathematica for Windows. Gives a quick tour of the Mathematica front end and its text manipulation capabilities. Shows how to manipulate ...

This example shows the visualization and image analysis of a human foot using Mathematica and MathGL3d. The notebook describes various methods used to interactively ...

This seminar gives a step-by-step approach to working with control systems in Mathematica. Each example begins with a problem definition and works toward a solution and a ...

The (𝐺'/𝐺)-expansion method and the symbolic computation system Mathematica are employed to investigate the coupled Schr¨odinger-Boussinesq equations. The ...

The ImplicitSolids solid modeling package provides methods for computer-aided design of three-dimensional solid objects in terms of implicit functions. Composite solids are ...