Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media

الموضوعات

علوم تطبيقية وتكنولوجية

الملخص

Solitary wave formation is a well studied nonlinear phenomenon arising in propagationof dispersive nonlinear waves under suitable conditions. In non-homogeneousmaterials, dispersion may happen due to effective reflections between the materialinterfaces. This dispersion has been used along with nonlinearities to find solitarywave formation using the one-dimensional p-system. These solitary waves are calledstegotons.The main goal in this work is to find two-dimensional stegoton formation. To doso we consider the nonlinear two-dimensional p-system with variable coefficients andsolve it using finite volume methods.The second goal is to obtain effective equations that describe the macroscopicbehavior of the variable coefficient system by a constant coefficient one. This is donethrough a homogenization process based on multiple-scale asymptotic expansions. Wecompare the solution of the effective equations with the finite volume results and finda good agreement. Finally, we study some stability properties of the homogenizedequations and find they and one-dimensional versions of them are unstable in general.

روابط وملفات

التعريف والنوع

رقم الوثيقة

030cff84-b55c-4b6f-853e-7beb2451b6be

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

1701025_1.pdf

بيانات النشر

ألقاب المؤلفين

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اللغة

English

المصدر والدورية

اسم المصدر

Nonlinear Wave Propagation and Solitary Wave Formation in Two-Dimensional Heterogeneous Media

المحتوى والصفحات

عدد الصفحات

0

كلمات الباحثين

Nonlinear Wave Propagation

إشراف وإعداد

الإشراف

ديفيد كيتشسون

الإعداد

مانويل كويزادا دي لونا

الاقتباسات الببليوغرافية