In this paper, Lie symmetry analysis is performed on the Drinfeld-Sokolov-Wilson system.
We get the corresponding Lie algebra and similarity reductions of the system. In addition, we …

In this paper, relationship between background metric and Noether operators is developed
for different surfaces. For this the (1+ 2)-dimensional non-linear wave equation on curved …

We find exact solutions of the Generalized Modified Boussinesq (GMB) equation, the
Kuromoto‐Sivashinsky (KS) equation the and, Camassa‐Holm (CH) equation by utilizing the …

Based on the Lie group method, the potential symmetries and invariant solutions for
generalized quasilinear hyperbolic equations are studied. To obtain the invariant solutions …

The derivation of conservation laws for the wave equation on sphere, cone and flat space is
considered. The partial Noether approach is applied for wave equation on curved surfaces …

We study the invariance properties of five-dimensional metrics and their corresponding
geodesic equations of motion. In this context a number of five-dimensional models of the …

ABSTRACT A complete group classification for the Klein-Gordon equation is presented.
Symmetry generators, up to equivalence transformations, are calculated for each)(uf when …

abstract In this paper, relationship between background metric and Noether operators is
developed for different surfaces. For this the ð1 þ 2Þ-dimensional non-linear wave equation …

Physical models with non-flat background are important in biological mathematics. Most of
the biological membranes are not flat in general. For example, membranes which convert …