Stability Analysis for Travelling Wave Solutions of the Olver and Fifth-Order KdV Equations

الملخص EN

The Olver equation is governing a unidirectional model for describing long and small amplitude waves in shallow water waves.

The solitary wave solutions of the Olver and fifth-order KdV equations can be obtained by using extended tanh and sech-tanh methods.

The present results are describing the generation and evolution of such waves, their interactions, and their stability.

Moreover, the methods can be applied to a wide class of nonlinear evolution equations.

All solutions are exact and stable and have applications in physics.