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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  XML اصل مقاله (325.57 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.30833.1462
نویسندگان
Mehrdad Lakestaniorcid 1؛ Jalil Manafian email orcid 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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