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
    2014-09-10
    https://doi.org/10.14419/ijamr.v3i4.3283

  • 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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    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