In this section, we give the description of the auxiliary equation method for solving fractional partial differential equations
Nuseir, "Symbolic methods to construct exact solutions of nonlinear partial differential equations
," Mathematics and Computers in Simulation, vol.
In the above given references, it could be seen that the investigation of exact solutions of nonlinear partial differential equations
played a significant role in the study of physical phenomena of nonlinear problems.
Dhaigude, Linear initial value problems for fractional partial differential equations
Manafian, "The solution of the variable coefficients fourth-order parabolic partial differential equations
by homotopy perturbation method," Zeitschrift fur Naturforschung, vol.
Now, we derive the leading order term [U.sub.0] and the correction term [U.sub.1] in a partial differential equation
In this section we give the description of the Jacobi elliptic equation method for solving fractional partial differential equations
Russel: A unified boundary controllability theory for hyperbolic and parabolic partial differential equations
, Studies in Appl.
Partial differential equations
(PDEs) played a vital role in natural sciences and engineering.
We now present the multiplier method for the derivation of conservation laws for partial differential equations
. We will outline its application to the partial differential equation
(1) in two independent variables.
Partial Differential Equations
and Solitary Waves Theory Higher Education Press Beijing (2009).
These nonlinear partial differential equations
have no general solution, and only a limited number of exact solutions have been found in (Labropulu, 2000) and (Hamdan, 1998) [1-3].