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Mirhosseini-Alizamini, Seyed Mehdi, Rezazadeh, Hadi, Eslami, Mostafa, Mirzazadeh, Mohammad, Korkmaz, Alpert. (1398). New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics. سامانه مدیریت نشریات علمی, 8(1), 28-53. doi: 10.22034/cmde.2019.9472
Seyed Mehdi Mirhosseini-Alizamini; Hadi Rezazadeh; Mostafa Eslami; Mohammad Mirzazadeh; Alpert Korkmaz. "New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics". سامانه مدیریت نشریات علمی, 8, 1, 1398, 28-53. doi: 10.22034/cmde.2019.9472
Mirhosseini-Alizamini, Seyed Mehdi, Rezazadeh, Hadi, Eslami, Mostafa, Mirzazadeh, Mohammad, Korkmaz, Alpert. (1398). 'New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics', سامانه مدیریت نشریات علمی, 8(1), pp. 28-53. doi: 10.22034/cmde.2019.9472
Mirhosseini-Alizamini, Seyed Mehdi, Rezazadeh, Hadi, Eslami, Mostafa, Mirzazadeh, Mohammad, Korkmaz, Alpert. New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics. سامانه مدیریت نشریات علمی, 1398; 8(1): 28-53. doi: 10.22034/cmde.2019.9472

New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics

Computational Methods for Differential Equations
مقاله 3، دوره 8، شماره 1، فروردین 2020، صفحه 28-53    اصل مقاله (387.71 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2019.9472
نویسندگان
Seyed Mehdi Mirhosseini-Alizamini1؛ Hadi Rezazadeh2؛ Mostafa Eslami* 3؛ Mohammad Mirzazadeh4؛ Alpert Korkmaz5
1Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran
2Faculty of Engineering Technology, Amol University of Special Modern Technologiesl, Amol, Iran
3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
4Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar-Vajargah, Iran.
5Department of Mathematics, Cankiri Karatekin University, Cankiri, Turkey.
چکیده
In this study, the new extended direct algebraic method is exerted for constructing more general exact solutions of the three nonlinear evolution equations with physical interest namely, the Tzitzeica equation, the Dodd-Bullough-Mikhailor equation and the Liouville equation. By using of an appropriate traveling wave transformation reduces these equations to ODE. We state that this method is excellently a generalized form to obtain solitary wave solutions of the nonlinear evolution equations that are widely used in theoretical physics. The method appears to be easier and faster by means of symbolic computation system.
کلیدواژه‌ها
Nonlinear evolution equation؛ Tzitzica type evolution equations؛ New extended direct algebraic method؛ Traveling wave solutions
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