Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation

Marwan Alquran; Kamel Al-Khaled

doi:10.1186/2251-7456-6-11

Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation

Marwan Alquran^*, Kamel Al-Khaled

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

41 اقتباسات (Scopus)

ملخص

Purpose: This paper investigates an analytical solution to a physical model called (2 + 1)-dimensional Zoomeron equation. Methods: The solutions of Zoomeron are obtained using direct methods such as the extended tanh, the exponential function and the sech^p−tanh^pfunction methods. Results: Several soliton solutions are obtained using the proposed methods. Conclusions: The obtained solutions are new, and each has its own structure.

اللغة الأصلية	English
رقم المقال	11
دورية	Mathematical Sciences
مستوى الصوت	6
رقم الإصدار	1
المعرِّفات الرقمية للأشياء	https://doi.org/10.1186/2251-7456-6-11
حالة النشر	Published - ديسمبر 2012

ASJC Scopus subject areas

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10.1186/2251-7456-6-11

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title = "Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation",

abstract = "Purpose: This paper investigates an analytical solution to a physical model called (2 + 1)-dimensional Zoomeron equation. Methods: The solutions of Zoomeron are obtained using direct methods such as the extended tanh, the exponential function and the sechp−tanhpfunction methods. Results: Several soliton solutions are obtained using the proposed methods. Conclusions: The obtained solutions are new, and each has its own structure.",

keywords = "Exponential function method, Extended tanh method, Wave variables, Zoomeron equation, sech-tanhmethod",

author = "Marwan Alquran and Kamel Al-Khaled",

note = "Funding Information: The authors would like to thank the editor and the anonymous referees for their in-depth reading, criticism and insightful comments on an earlier version of this paper. Publisher Copyright: {\textcopyright} 2012, Alquran and Al-Khaled; licensee Springer.",

year = "2012",

month = dec,

doi = "10.1186/2251-7456-6-11",

language = "English",

volume = "6",

journal = "Mathematical Sciences",

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TY - JOUR

T1 - Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation

AU - Alquran, Marwan

AU - Al-Khaled, Kamel

N1 - Funding Information: The authors would like to thank the editor and the anonymous referees for their in-depth reading, criticism and insightful comments on an earlier version of this paper. Publisher Copyright: © 2012, Alquran and Al-Khaled; licensee Springer.

PY - 2012/12

Y1 - 2012/12

N2 - Purpose: This paper investigates an analytical solution to a physical model called (2 + 1)-dimensional Zoomeron equation. Methods: The solutions of Zoomeron are obtained using direct methods such as the extended tanh, the exponential function and the sechp−tanhpfunction methods. Results: Several soliton solutions are obtained using the proposed methods. Conclusions: The obtained solutions are new, and each has its own structure.

AB - Purpose: This paper investigates an analytical solution to a physical model called (2 + 1)-dimensional Zoomeron equation. Methods: The solutions of Zoomeron are obtained using direct methods such as the extended tanh, the exponential function and the sechp−tanhpfunction methods. Results: Several soliton solutions are obtained using the proposed methods. Conclusions: The obtained solutions are new, and each has its own structure.

KW - Exponential function method

KW - Extended tanh method

KW - Wave variables

KW - Zoomeron equation

KW - sech-tanhmethod

UR - http://www.scopus.com/inward/record.url?scp=85119493925&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85119493925&partnerID=8YFLogxK

U2 - 10.1186/2251-7456-6-11

DO - 10.1186/2251-7456-6-11

M3 - Article

AN - SCOPUS:85119493925

SN - 2008-1359

VL - 6

JO - Mathematical Sciences

JF - Mathematical Sciences

IS - 1

M1 - 11

ER -

Mathematical methods for a reliable treatment of the (2+1)-dimensional Zoomeron equation

ملخص

ASJC Scopus subject areas

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