Traveling wave behavior of new (2+1)-dimensional combined KdV–mKdV equation


Abstract:

The KdV and mKdV equations have many significant applications in the field of plasma physics and ocean dynamics. In this work, the traveling wave behavior of the newly proposed (2+1)-dimensional combined KdV–mKdV equation has been examined using two direct analytical approaches. The two variable [Formula presented],[Formula presented]-expansion method and generalized projective Riccati equation method are used to determine a variety of solitons and solitary waves for the governing model. The graphical observations are made for suitable choice of parametric values. The obtained results will provide useful insight in further explorations of the wave phenomena depicted by the considered equation.

Año de publicación:

2023

Keywords:

  • Solitary waves
  • Water waves
  • Generalized projective Riccati equation method
  • Combined KdV–mKdV equation
  • Nonlinear waves

Fuente:

scopusscopus
googlegoogle

Tipo de documento:

Article

Estado:

Acceso abierto

Áreas de conocimiento:

  • Optimización matemática
  • Modelo matemático
  • Optimización matemática

Áreas temáticas:

  • Análisis