Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation
Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation
The Korteweg-de Vries (KdV) equation, especially the fractional higher order one, provides a relatively accurate description of motions of long waves in shallow water under gravity and wave propagation in one-dimensional nonlinear lattice. In this article, the generalized<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mrow><mml:mi mathvariant="normal">exp</mml:mi></mml:mrow><mml:mo></mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>ξ</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math>-expansion method is proposed to …