A study on Caudrey–Dodd–Gibbon–Sawada–Kotera partial differential equation
Hacı Mehmet Başkonuş, Adnan Ahmad Mahmud, Kalsum Abdulrahman Muhamad, Tanfer Tanrıverdi
Abstract
Bernoulli sub‐equation function method is applied to obtain exact solutions of Caudrey–Dodd–Gibbon–Sawada–Kotera (CDGSK) nonlinear partial differential equation. As a result of this, exact traveling‐wave and some new oscillating solutions to CDGSK are obtained. It may be observed that Bernoulli sub‐equation function method employed here is very effective and reliable to get explicit solutions for this nonlinear partial differential equation. Profiles of all constructed solutions are graphically illustrated entirely as well.
Topics & Concepts
MathematicsFirst-order partial differential equationPartial differential equationBernoulli's principleExact differential equationMathematical analysisNonlinear systemBernoulli differential equationDifferential equationFunction (biology)Riccati equationApplied mathematicsPhysicsQuantum mechanicsEvolutionary biologyThermodynamicsBiologyNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems