Published March 13, 2016
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ANALYTIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN MATHEMATICAL PHYSICS
Description
In this article, we use the modified (w/g)-expansionmethod to find the traveling wave solutions for some nonlinear partial differential equations in mathematical physicsvia the nonlinear variant Boussinesq differential equations.When w and g are taken special choices, some families of direct expansion methods are obtained to obtain the exact solutions for the nonlinear evolutions equations in the mathematical physics.Based on these interesting results, we further give two forms of expansions via the modified g ′ /g 2 -expansion method and modified g ′ -expansion methods.When the parameters are taken some special values, the solitary wave are derived from the traveling waves.This method is reliable, simple, and gives many new exact solutions.
Translated Descriptions
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This is an automatic machine translation with an accuracy of 90-95%
Translated Description (Arabic)
في هذه المقالة، نستخدم طريقة التمدد المعدلة (w/g) لإيجاد حلول الموجة المتنقلة لبعض المعادلات التفاضلية الجزئية غير الخطية في الفيزياء الرياضية من خلال المعادلات التفاضلية بوسينسك غير الخطية المتغيرة. عندما يتم اتخاذ خيارات خاصة، يتم الحصول على بعض عائلات طرق التمدد المباشرة للحصول على الحلول الدقيقة لمعادلات التطور غير الخطية في الفيزياء الرياضية. بناءً على هذه النتائج المثيرة للاهتمام، نقدم أيضًا شكلين من التوسعات عبر طريقة التمدد g '/ g 2 المعدلة وطرق التمدد g 'المعدلة. عندما يتم أخذ المعلمات بعض القيم الخاصة، يتم اشتقاق الموجة الانفرادية من موجات السفر. هذه الطريقة موثوقة وبسيطة وتعطي العديد من الحلول الدقيقة الجديدة.Translated Description (English)
In this article, we use the modified (w/g) -expansion method to find the traveling wave solutions for some nonlinear partial differential equations in mathematical physicsvia the nonlinear variant Boussinesq differential equations.When w and g are taken special choices, some families of direct expansion methods are obtained to obtain the exact solutions for the nonlinear evolution equations in the mathematical physics.Based on these interesting results, we further give two forms of expansions via the modified g ′ /g 2 -expansion method and modified g ′ -expansion methods.When the parameters are taken some special values, the solitary wave are derived from the traveling waves.This method is reliable, simple, and gives many new exact solutions.Translated Description (French)
In this article, we use the modified (w/g) -expansionmethod to find the traveling wave solutions for some nonlinear partial differential equations in mathematical physicsvia the nonlinear variant Boussinesq differential equations.When w and g are taken special choices, some families of direct expansion methods are obtained to obtain the exact solutions for the nonlinear evolutions equations in the mathematical physics.Based on these interesting results, we further give two forms of expansions via the modified g ′ /g 2 -expansion method and modified g ′ -expansion methods.When the parameters are taken some special values, the solitary wave are derived from the traveling waves.This method is reliable, simple, and gives newy exact solutions.Translated Description (Spanish)
In this article, we use the modified (w/g) -expansionmethod to find the traveling wave solutions for some nonlinear partial differential equations in mathematical physicsvia the nonlinear variant Boussinesq differential equations.When w and g are taken special choices, some families of direct expansion methods are obtained to obtain the exact solutions for the nonlinear evoltions equations in the mathematical physics.Based on these interesting results, we further give two forms of expansions via the modified g ′ /g 2 -expansion method and modified g ′ -expansion methods.When the parameters are taken some special values, the solitary wave are derived from the traveling waves.This method isliable, and simple solutions.Files
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Additional details
Additional titles
- Translated title (Arabic)
- الحلول التحليلية لمعادلات التطور غير الخطية في الفيزياء الرياضية
- Translated title (English)
- ANALYTIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN MATHEMATICAL PHYSICS
- Translated title (French)
- ANALYTIC SOLUTIONS FOR NONLINEAR EVOLUTION EQUATIONS IN MATHEMATICAL PHYSICS
- Translated title (Spanish)
- SOLUCIONES ANALÍTICAS PARA ECUACIONES DE EVOLUCIÓN NO LINEAL EN FÍSICA MATEMÁTICA
Identifiers
- Other
- https://openalex.org/W2299506061
- DOI
- 10.12732/ijpam.v106i4.3
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