Add to ORKGIn this thesis, we study the method of similarity solutions for partial differential equations. We provide several examples for each concept. Then, we investigate the existence of self-similar solutions, in general, and we apply the method for Shallow Water Waves Equations. \Ve obtained a set of partial differential equations that can be solved to obtain the group generators for the Shallow Water Equations under which the Shallow Water Equations remain invariant. We discuss the solution of such system
In this work we consider an auxiliary system of the shallow water equations in which the first equat...
In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie sym...
The importance of similarity transformations and their applications to partial differential equation...
Includes bibliographical references (leaves 100-101)In their paper Numerical Simulation of Two-Layer...
A one-dimensional shock (bore) reflection problem is discussed for the two-dimensional shallow water...
In this paper we have investigated the Lie symmetries and similarity reductions of the new completel...
AbstractGeneral similarity solution of the nonlinear Schrödinger equation is obtained by using group...
AbstractGeneral similarity solution of the nonlinear Schrödinger equation is obtained by using group...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
Thesis (Master's)--University of Washington, 2014Mathematical models for waves on shallow water surf...
When a partial differential equation in two independent variables is invariant to a group G of stret...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
Smooth solutions of the shallow-water equations for non-rectangular cross-sections channels are stud...
Problems of technological interest can very often be described by partial differential equations (PD...
In this work we consider an auxiliary system of the shallow water equations in which the first equat...
In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie sym...
The importance of similarity transformations and their applications to partial differential equation...
Includes bibliographical references (leaves 100-101)In their paper Numerical Simulation of Two-Layer...
A one-dimensional shock (bore) reflection problem is discussed for the two-dimensional shallow water...
In this paper we have investigated the Lie symmetries and similarity reductions of the new completel...
AbstractGeneral similarity solution of the nonlinear Schrödinger equation is obtained by using group...
AbstractGeneral similarity solution of the nonlinear Schrödinger equation is obtained by using group...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
Thesis (Master's)--University of Washington, 2014Mathematical models for waves on shallow water surf...
When a partial differential equation in two independent variables is invariant to a group G of stret...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
General similarity solution of the nonlinear Schrodinger equation is obtained by using group-theoret...
Smooth solutions of the shallow-water equations for non-rectangular cross-sections channels are stud...
Problems of technological interest can very often be described by partial differential equations (PD...
In this work we consider an auxiliary system of the shallow water equations in which the first equat...
In this paper, a new extended (3+1)-dimensional shallow water wave equation is discussed via Lie sym...
The importance of similarity transformations and their applications to partial differential equation...