On several specific cases of the simple equations method (SEsM): Jacobi elliptic function expansion method, F-expansion method, modified simple equation method, trial function method, general projective Riccati equations method, and first intergal method
Zlatinka I. Dimitrova
Abstract
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the Jacobi Elliptic Function Expansion Method, F-Expansion method, Modified Simple Equation method, Trial Function Method, General Projective Riccati Equations Method and the First Integral Method are specific cases of SEsM.
Topics & Concepts
MathematicsSimple (philosophy)Riccati equationElliptic integralMathematical analysisElliptic functionApplied mathematicsPartial differential equationNonlinear systemFunction (biology)Differential equationEpistemologyQuantum mechanicsEvolutionary biologyBiologyPhysicsPhilosophyNonlinear Waves and SolitonsNumerical methods for differential equationsFractional Differential Equations Solutions