Homogeneous balance method and auxiliary equation method as particular cases of simple equations method (SEsM)
Zlatinka I. Dimitrova, Kaloyan N. Vitanov
Abstract
We discuss the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear partial differential equations. We show that the much used Homogeneous Balance Method, Extended Homogeneous Balance method and Auxiliary Equation Method are particular cases of SEsM.
Topics & Concepts
HomogeneousSimple (philosophy)Balance (ability)Partial differential equationHomogeneous differential equationNonlinear systemMathematicsApplied mathematicsDifferential equationComputer scienceMathematical analysisMathematical optimizationOrdinary differential equationDifferential algebraic equationPhysicsMedicineCombinatoricsEpistemologyPhilosophyPhysical medicine and rehabilitationQuantum mechanicsNonlinear Waves and SolitonsNumerical methods for differential equationsFractional Differential Equations Solutions