Exp-function Method for Solving the General Improved KdV Equation

KUTLUAY S., ESEN A.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, cilt.10, sa.6, ss.717-725, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 6
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1515/ijnsns.2009.10.6.717
  • Dergi Adı: INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.717-725
  • Anahtar Kelimeler: Exp-function method, Solitary solutions, Periodic Solutions, General improved KdV equation, VARIATIONAL ITERATION METHOD, HOMOTOPY PERTURBATION METHOD, PARTIAL-DIFFERENTIAL-EQUATIONS, STRONGLY NONLINEAR OSCILLATORS, PERIODIC-SOLUTIONS, WAVE EQUATIONS, BURGERS, LATTICE
  • İnönü Üniversitesi Adresli: Evet

Özet

This paper. applies He's Exp-function method to the one-dimensional general improved KdV (GIKdV) equation with nth power nonlinear term to obtain some new generalized solitary solutions and periodic solutions. It is shown that the Exp-function method, with the help of any symbolic computation packages, provides a straightforward and powerful, mathematical tool for solving many generalized nonlinear evolution equations arising in mathematical physics.