Application of IBSEF Method to Chaffee–Infante Equation in (1 + 1) and (2 + 1) Dimensions
Ulviye Demirbilek, Kh. R. Mamedov
Abstract
Abstract In this work, Improved Bernoulli Sub-Equation Function (IBSEF) method is proposed to seek solitary solutions of nonlinear differential equations. Chaffee–Infante equations are chosen to illustrate the effectiveness and convenience of the suggested method. Abundant new and more general exact solutions are obtained of these equations. As a result, by selecting the suitable parameters, two and three dimensional surfaces and contour plots of the results are drawn with the help of the software program.
Topics & Concepts
MathematicsOrdinary differential equationNonlinear systemBernoulli's principleApplied mathematicsPartial differential equationFunction (biology)Differential equationMathematical analysisPhysicsEvolutionary biologyQuantum mechanicsBiologyThermodynamicsNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems