On the solutions and conservation laws of the Yu–Toda–Sasa–Fukuyama equation of plasma physics

Abstract

In this work, we investigate the two-dimensional Yu–Toda–Sasa–Fukuyama equation, which has many applications in plasma physics and other fields of study in natural sciences. Exact analytical solutions of this model are presented by invoking Lie symmetry analysis technique. Moreover, the power series expansion method is also used to construct exact analytical solutions. We present the 2D and 3D graphical representations of the obtained solutions for some parametric values so as to demonstrate the dynamic behaviour of the solutions. Furthermore, conserved vectors are derived by making use of two methods, namely the multiplier method and Noether’s theorem.

Keywords

• Yu–Toda–Sasa–Fukuyama equation
• Exact analytical solution
• Jacobi elliptic functions
• Conservation laws
• Multiplier method
• Noether’s theorem