Analytical analysis of the fourth-order Boussinesq equation by traveling wave solutions
Jamil Abbas Haider, Noor Muhammad, S. Nadeem, S. Asghar
Abstract
To find periodic solutions of nonlinear equations, the Jacobi elliptic function expansion method is used. This strategy is more extensive than expanding the hyperbolic tangent series. This approach can produce periodic shock wave solutions such as solitary wave solutions.
Topics & Concepts
Periodic waveTraveling waveHyperbolic functionElliptic functionNonlinear systemShock waveTangentMathematical analysisSeries (stratigraphy)Order (exchange)Cnoidal wavePhysicsFunction (biology)MathematicsWave equationMechanicsGeometryEvolutionary biologyEconomicsPaleontologyFinanceBiologyQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions