TY - JOUR
T1 - Solutions to the Zakharov-Kuznetsov Equation with Higher Order Nonlinearity by Mapping and Ansatz Methods
AU - Krishnan, E. V.
AU - Biswas, A.
N1 - Funding Information:
The research work of the second author (AB) was fully supported by NSF-CREST Grant No. HRD-0630388 and this support is genuinely and sincerely appreciated.
PY - 2010/12
Y1 - 2010/12
N2 - Solutions to the Zakharov-Kuznetsov equation with higher order nonlinearity are obtained using the mapping method. Several solutions are determined inclusing the cnoidal waves, shock waves, solitary waves, periodic singular waves and others. Finally, the ansatz method is applied to solve the equation with power law nonlinearity. It has been proved that the shock waves or topological solitons exist only for specific values of the power law parameter.
AB - Solutions to the Zakharov-Kuznetsov equation with higher order nonlinearity are obtained using the mapping method. Several solutions are determined inclusing the cnoidal waves, shock waves, solitary waves, periodic singular waves and others. Finally, the ansatz method is applied to solve the equation with power law nonlinearity. It has been proved that the shock waves or topological solitons exist only for specific values of the power law parameter.
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U2 - 10.3103/S1541308X10040059
DO - 10.3103/S1541308X10040059
M3 - Article
AN - SCOPUS:78650038597
SN - 1541-308X
VL - 18
SP - 256
EP - 261
JO - Physics of Wave Phenomena
JF - Physics of Wave Phenomena
IS - 4
ER -