TY - JOUR
T1 - Solitons and other solutions to Wu–Zhang system
AU - Mirzazadeh, Mohammad
AU - Ekici, Mehmet
AU - Eslamic, Mostafa
AU - Krishnan, Edamana Vasudevan
AU - Kumar, Sachin
AU - Biswas, Anjan
N1 - Publisher Copyright:
© Vilnius University, 2017.
PY - 2017
Y1 - 2017
N2 - This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is also applied to derive symmetries of the Wu–Zhang system, and the derived ordinary differential equations are further analyzed to retrieve exact solutions are obtained. Finally, implementation of mapping method secures additional exact solutions.
AB - This paper addresses Wu–Zhang system to study dispersive long waves. The extended trial equation method extracts solitary waves, shock waves, and singular solitary waves solutions. Subsequently, Lie group formalism is also applied to derive symmetries of the Wu–Zhang system, and the derived ordinary differential equations are further analyzed to retrieve exact solutions are obtained. Finally, implementation of mapping method secures additional exact solutions.
KW - Extended trial equation method
KW - Lie symmetry analysis
KW - Mapping method
KW - Wu–Zhang system
UR - http://www.scopus.com/inward/record.url?scp=85021261493&partnerID=8YFLogxK
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U2 - 10.15388/NA.2017.4.2
DO - 10.15388/NA.2017.4.2
M3 - Article
AN - SCOPUS:85021261493
SN - 1392-5113
VL - 22
SP - 441
EP - 458
JO - Nonlinear Analysis: Modelling and Control
JF - Nonlinear Analysis: Modelling and Control
IS - 4
ER -