Auto-Backlund transformations and New Exact Soliton Solutions of KdV Equation for Nonlinear Dust Acoustic Solitary Waves in Dust Plasma with Variable Dust Charge

Authors

  • Rafat Ibrahim

    Mathematics Department, Faculty of Science Beni-Suef University, Egypt

Received date: July 27, 2014

Accepted date: August 30, 2014

Published date: September 10, 2014

DOI:

https://doi.org/10.14419/ijamr.v3i4.3283

Abstract

The nonlinear properties of dust acoustic solitary waves in unmagnetized dust plasma consistingof negative charged dust particles , Boltzmann distributed electrons and non-thermal distributedions with variable dust charge are investigated. By using the reductive perturbation theory, a Korteweg-de Veries (KdV) equation is derived. The Sagdeev’s potential are obtained in terms ofion acoustic velocity by using the auto-Backlund (BT) transformation, the modified G'/G expansion,the sine-cosine expansion method, the sinh-coshine expansion method, and the sech-tanh expansionmethod describing the nonlinear propagation of ion-acoustic solitary waves in unmagnetized dustplasma.

Keywords: dust plasma, KdV equation, Reductive perturbation method, solitary waves, BÄ acklund transformations, Traveling wave solutions.

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How to Cite

Ibrahim, R. (2014). Auto-Backlund transformations and New Exact Soliton Solutions of KdV Equation for Nonlinear Dust Acoustic Solitary Waves in Dust Plasma with Variable Dust Charge. International Journal of Applied Mathematical Research, 3(4), 390-406. https://doi.org/10.14419/ijamr.v3i4.3283

Received date: July 27, 2014

Accepted date: August 30, 2014

Published date: September 10, 2014