Solitary wave solution of the Zakharov-Kuznetsov equation in plasmas with power law nonlinearity

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 4, 2010, Pages 3272-3274

  Biswas, Anjan ^a   Zerrad, Essaid ^a  

^a DELAWARE STATE UNIVERSITY   (United States)

Author keywords

Integrability; Integrals of motion; Solitons

Indexed keywords

ANSATZ METHOD; CONSERVED QUANTITY; INTEGRABILITY; INTEGRALS OF MOTION; POWER-LAW NONLINEARITY; SOLITARY WAVE; SOLITARY WAVE SOLUTION; SOLITON SOLUTIONS; ZAKHAROV-KUZNETSOV EQUATION;

CONTROL NONLINEARITIES;

SOLITONS;

EID: 77955771646     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.08.007     Document Type: Article

References (10)

1. M. Antonova, and A. Biswas Adiabatic parameter dynamics of perturbed solitary waves Communications in Nonlinear Science and Numerical Simulation 14 1 2009 734 748
2. A. Bekir Application of the G ′ G-expansion method for nonlinear evolution equations Physics Letters A 372 19 2008 3400 3406
3. J. Das, A. Bandyopadhyay, and K.P. Das Existence and stability of alternatives ion-acoustic solitary wave solution of the combined MKdV-KdV-ZK equation in a magnetized non thermal plasma consisting of warm adiabatic ions Physics of Plasmas 14 9 2007 092304
4. C. Lin, and X. Zhang The formally variable separation approach for the modified ZakharovKuznetsov equation Communications in Nonlinear Science and Numerical Simulation 12 5 2007 636 642 (Pubitemid 44942949)
5. X. Lu, B. Tian, T. Xu, K.-J. Cai, and W.-J. Liu Analytical study of the nonlinear Schrdinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional BoseEinstein condensates Annals of Physics 323 10 2008 2554 2565
6. X. Lu, H.-W. Zhu, Z.-Z. Yao, X.-H. Meng, C. Zhang, C.-Y. Zhang, and B. Tian Multisoliton solutions in terms of double Wronskian determinant for a generalized variable coefficient nonlinear Schrdinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications Annals of Physics 323 8 2008 1947 1955
7. S. Monro, and E.J. Parks Stability of solitary wave solutions to a modified ZakharovKuznetsov equation Journal of Plasma Physics 64 3 2000 411 426
8. A. Mushtaq, and H.A. Shah Nonlinear ZakharovKuznetsov equation for obliquely propagating two-dimensional ion-acoustic waves in a relativistic, rotating magnetized electron-positron-ion plasma Physics of Plasmas 12 7 2005 072306
9. Naranmandula, and K.X. Wang New spiky and explosive solitary wave solutions for further modified ZakharovKuznetsov equations Physics Letters A 336 23 2005 112 116
10. M. Panthee A note on the unique continuation property for ZakharovKuznetsov equation Nonlinear Analysis: Theory, Methods and Applications 59 3 2004 425 438