Sinc and solitary wave solutions to the generalized Benjamin-Bona-Mahony- Burgers equations

Marwan Alquran*, Kamel Al-Khaled

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

36 اقتباسات (Scopus)

ملخص

In this paper, we consider the generalized Benjamin-Bona-Mahony-Burgers (BBMB) equations. A variety of exact solutions to the BBMB equations are developed by means of the tanh method. A sinc-Galerkin procedure is also developed to solve the BBMB equations. Sinc approximations to both the derivatives and the indefinite integrals reduce the system to an explicit system of algebraic equations. It is shown that sinc-Galerkin approximations produce an error of exponential order. A comparison of the two methods for solving the BBMB equation was made regarding their solutions. The study outlines the features of the sinc method.

اللغة الأصليةEnglish
رقم المقال065010
دوريةPhysica Scripta
مستوى الصوت83
رقم الإصدار6
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يونيو 2011
منشور خارجيًانعم

ASJC Scopus subject areas

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  • ???subjectarea.asjc.2600.2610???
  • ???subjectarea.asjc.3100.3104???

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