Multiwave solutions of fractional 4th and 5th order Burgers equationsMultiwave solutions of fractional 4th and 5th order Burgers equations

Emad A-b. ABDEL-SALAM; Gamal Fargahly HASSAN

Makale detayları

Multiwave solutions of fractional 4th and 5th order Burgers equationsMultiwave solutions of fractional 4th and 5th order Burgers equations

Yazarlar:

Emad A-b. ABDEL-SALAM | Gamal Fargahly HASSAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2015 Vol.39 Issue 3, pp.227-241

Belge Tipi:

Makale

Yayın Tarihi:

12/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000759836

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Anahtar kelimeler:

Özet:

 

Fractional 4th and 5th order Burgers equations were studied by improving the generalized Exp-function method. The chief aim here was to discuss single-wave, double-wave, three-wave, and four-wave solutions for the space-time fractional (STF), time-fractional (TF), and space-fractional (SF) 4th and 5th order Burgers equations. The arbitrariness of the fractional orders allows much richer structures. It was observed that the wave amplitude of STF and SF Burgers equations is directly proportional to the noninteger derivative order, but the wave amplitude of TF Burgers equations is inversely proportional to the noninteger derivative order. From the graphical study of the obtained solution, a change in the noninteger derivative order value affects soliton behavior in a fundamental way. Therefore, the wave shape can be modified based on the noninteger derivative order without changing the properties of the medium.

 

Fractional 4th and 5th order Burgers equations were studied by improving the generalized Exp-function method. The chief aim here was to discuss single-wave, double-wave, three-wave, and four-wave solutions for the space-time fractional (STF), time-fractional (TF), and space-fractional (SF) 4th and 5th order Burgers equations. The arbitrariness of the fractional orders allows much richer structures. It was observed that the wave amplitude of STF and SF Burgers equations is directly proportional to the noninteger derivative order, but the wave amplitude of TF Burgers equations is inversely proportional to the noninteger derivative order. From the graphical study of the obtained solution, a change in the noninteger derivative order value affects soliton behavior in a fundamental way. Therefore, the wave shape can be modified based on the noninteger derivative order without changing the properties of the medium.

Makale detayları

Multiwave solutions of fractional 4th and 5th order Burgers equationsMultiwave solutions of fractional 4th and 5th order Burgers equations

Yazarlar:

Emad A-b. ABDEL-SALAM | Gamal Fargahly HASSAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2015 Vol.39 Issue 3, pp.227-241

Belge Tipi:

Makale

Yayın Tarihi:

12/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000759836

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101

Exact solution

multiwave solutions

space-time fractional fourth-order Burgers equation

space-time fractional fifth-order Burgers equation

Sayı

Makale detayları

Multiwave solutions of fractional 4th and 5th order Burgers equationsMultiwave solutions of fractional 4th and 5th order Burgers equations

Yazarlar: Emad A-b. ABDEL-SALAM | Gamal Fargahly HASSAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Physics 2015 Vol.39 Issue 3, pp.227-241

Belge Tipi: Makale

Yayın Tarihi: 12/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000759836

Sıklık: İki Aylık

eISSN: 1303-6122

pISSN: 1300-0101

Exact solution

multiwave solutions

space-time fractional fourth-order Burgers equation

space-time fractional fifth-order Burgers equation

Sayı

Yazarlar:

Emad A-b. ABDEL-SALAM | Gamal Fargahly HASSAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Physics 2015 Vol.39 Issue 3, pp.227-241

Belge Tipi:

Makale

Yayın Tarihi:

12/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000759836

Sıklık:

İki Aylık

eISSN:

1303-6122

pISSN:

1300-0101