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Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. (1401). Some new soliton solutions for the nonlinear the fifth-order integrable equations. سامانه مدیریت نشریات علمی, 10(2), 445-460. doi: 10.22034/cmde.2020.30833.1462
Mehrdad Lakestani; Jalil Manafian; Ali Reza Najafizadeh; Mohammad Partohaghighi. "Some new soliton solutions for the nonlinear the fifth-order integrable equations". سامانه مدیریت نشریات علمی, 10, 2, 1401, 445-460. doi: 10.22034/cmde.2020.30833.1462
Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. (1401). 'Some new soliton solutions for the nonlinear the fifth-order integrable equations', سامانه مدیریت نشریات علمی, 10(2), pp. 445-460. doi: 10.22034/cmde.2020.30833.1462
Lakestani, Mehrdad, Manafian, Jalil, Najafizadeh, Ali Reza, Partohaghighi, Mohammad. Some new soliton solutions for the nonlinear the fifth-order integrable equations. سامانه مدیریت نشریات علمی, 1401; 10(2): 445-460. doi: 10.22034/cmde.2020.30833.1462

Some new soliton solutions for the nonlinear the fifth-order integrable equations

Computational Methods for Differential Equations
مقاله 12، دوره 10، شماره 2، تیر 2022، صفحه 445-460    اصل مقاله (325.57 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30833.1462
نویسندگان
Mehrdad Lakestani1؛ Jalil Manafian* 1؛ Ali Reza Najafizadeh2؛ Mohammad Partohaghighi3
1Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
2Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.
3Department of Mathematics, University of Bonab, Bonab, Iran.
چکیده
‎In this work‎, ‎we established some exact solutions for the‎ $(1+1)$-dimensional and $(2+1)$-dimensional fifth-order integrable‎ equations ($(1+1)$D and $(2+1)$D FOIEs) which is considered based on‎ the improved $\tanh(\phi(\xi)/2)$ expansion method (IThEM)‎, ‎by‎ utilizing Maple software‎. ‎We obtained new periodic solitary wave‎ ‎solutions‎. ‎The obtained solutions include soliton‎, ‎periodic‎, ‎kink‎, kink-singular wave solutions‎. ‎Comparing our new results with Wazwaz‎ results‎, ‎namely‎, ‎the Hereman-Nuseri method shows that our results give‎ further solutions‎. ‎Many other such types of nonlinear equations‎ arise in fluid dynamics‎, ‎plasma ‎physics,‎ and nonlinear physics‎.
کلیدواژه‌ها
Improved tanh(ϕ/2)-expansion method؛ Fifth-order integrable equations؛ Soliton wave solution
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