Published January 1, 2014 | Version v1
Publication Open

Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations

Creators

  • 1. Taibah University
  • 2. Beni-Suef University

Description

The modeling of unidirectional propagation of long water waves in dispersive media is presented. The Korteweg-de Vries (KdV) and Benjamin-Bona-Mahony (BBM) equations are derived from water waves models. New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

يتم تقديم نمذجة الانتشار أحادي الاتجاه لموجات الماء الطويلة في الوسائط المشتتة. تم اشتقاق معادلات Korteweg - de Vries (KdV) و Benjamin - Bona - Mahony (BBM) من نماذج موجات الماء. يتم الحصول على حلول سفر جديدة لمعادلات KdV و BBM من خلال تنفيذ طرق sech - tanh المباشرة الممتدة والممتدة. يتم تحليل ومناقشة استقرار حلول السفر التي تم الحصول عليها.

Translated Description (French)

La modélisation de la propagation unidirectionnelle de longues vagues d'eau dans des milieux dispersifs est présentée. Les équations de Korteweg-de Vries (KdV) et Benjamin-Bona-Mahony (BBM) sont dérivées de modèles de vagues d'eau. De nouvelles solutions mobiles des équations KdV et BBM sont obtenues en mettant en œuvre les méthodes algébriques directes étendues et sech-tanh étendues. La stabilité des solutions itinérantes obtenues est analysée et discutée.

Translated Description (Spanish)

Se presenta el modelado de propagación unidireccional de ondas largas de agua en medios dispersivos. Las ecuaciones de Korteweg-de Vries (KdV) y Benjamin-Bona-Mahony (BBM) se derivan de modelos de olas de agua. Las nuevas soluciones de desplazamiento de las ecuaciones KdV y BBM se obtienen mediante la implementación de los métodos algebraico directo extendido y sech-tanh extendido. Se analiza y discute la estabilidad de las soluciones de viaje obtenidas.

Files

926838.pdf.pdf

Files (15.9 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:c8979d1d8bb5b5e47e4cca54d3d0b996
15.9 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
حلول الموجات المتنقلة لمعادلات موجات المياه بينجامين- بونا- ماهوني
Translated title (French)
Solutions d'ondes progressives des équations d'ondes d'eau Benjamin-Bona-Mahony
Translated title (Spanish)
Soluciones de onda viajera de las ecuaciones de onda de agua de Benjamin-Bona-Mahony

Identifiers

Other
https://openalex.org/W1995324090
DOI
10.1155/2014/926838

Is supplement to
https://openalex.org/W861940885 (Other)
https://openalex.org/W4386736234 (Other)
https://openalex.org/W4321350558 (Other)
https://openalex.org/W4233282671 (Other)
https://openalex.org/W2389002800 (Other)
https://openalex.org/W2371773166 (Other)
https://openalex.org/W2152194648 (Other)
https://openalex.org/W2109384272 (Other)
https://openalex.org/W2084309413 (Other)
https://openalex.org/W1966459141 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Egypt

References

  • https://openalex.org/W1964064557
  • https://openalex.org/W1983411149
  • https://openalex.org/W1989760690
  • https://openalex.org/W2004420801
  • https://openalex.org/W2005380085
  • https://openalex.org/W2012257633
  • https://openalex.org/W2018193898
  • https://openalex.org/W2019217803
  • https://openalex.org/W2034687099
  • https://openalex.org/W2050639649
  • https://openalex.org/W2054018951
  • https://openalex.org/W2058513119
  • https://openalex.org/W2059106264
  • https://openalex.org/W2068669201
  • https://openalex.org/W2081396134
  • https://openalex.org/W2082727045
  • https://openalex.org/W2083523368
  • https://openalex.org/W2090186503
  • https://openalex.org/W2090357161
  • https://openalex.org/W2090951893
  • https://openalex.org/W2095184008
  • https://openalex.org/W2135334122
  • https://openalex.org/W2172072888
  • https://openalex.org/W2277501881
  • https://openalex.org/W2399639771