Conservation Laws and Soliton Solutions of the (1+1)-Dimensional Modified Improved Boussinesq Equation

GÜNER Ö., SAN S., BEKİR A., YAŞAR E.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.70, sa.8, ss.669-672, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/zna-2015-0172
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.669-672
  • Anahtar Kelimeler: Conservation Laws, Exact Solution, Modified Improved Boussinesq Equation, Multiplier Method, Partial Lagrangian Approach, NONLINEAR EVOLUTION-EQUATIONS, TRAVELING-WAVE SOLUTIONS, TANH-FUNCTION METHOD, DIFFERENTIAL-EQUATIONS, BLOW-UP, SYMMETRIES, EXISTENCE, BRIGHT
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, we consider the (1+1)-dimensional modified improved Boussinesq (IMBq) equation. As the considered equation is of evolution type, no recourse to a Lagrangian formulation is made. However, we showed that by utilising the partial Lagrangian method and multiplier method, one can construct a number of local and nonlocal conservation laws for the IMBq equation. In addition, by using a solitary wave ansatz method, we obtained exact bright soliton solutions for this equation. The parameters of the soliton envelope (amplitude, widths, velocity) were obtained as function of the dependent model coefficients. Note that, it is always useful and desirable to construct exact solutions especially soliton-type envelope for the understanding of most nonlinear physical phenomena.