6 citations · 7 across the 4 of their papers we have counts for
4 papers
Conservation laws of nonlinear PDEs arising in elasticity and acoustics in Cartesian, cylindrical, and spherical geometries
Willy Hereman, Rehana Naz
Conservation laws are computed for various nonlinear partial differential equations that arise in elasticity and acoustics. Using a scaling homogeneity approach, conservation laws…
The Gardner equation and acoustic solitary waves in plasmas
Frank Verheest, Willy A. Hereman
Ion-acoustic waves in a dusty plasma are investigated where it is assumed that the ions follow a Cairns distribution and the electrons are Boltzmann distributed. Two theoretical me…
Lie symmetries, closed-form solutions, and conservation laws of a constitutive equation modeling stress in elastic materials
Rehana Naz, Willy Hereman
The Lie-point symmetry method is used to find some closed-form solutions for a constitutive equation modeling stress in elastic materials. The partial differential equation (PDE),…
Using Symmetries to Investigate the Complete Integrability, Solitary Wave Solutions and Solitons of the Gardner Equation
Willy Hereman, Ünal Göktaş
Using a scaling symmetry, it is shown how to compute polynomial conservation laws, generalized symmetries, recursion operators, Lax pairs, and bilinear forms of polynomial nonlinea…