TY - JOUR
T1 - Cnoidal wave, snoidal wave, and soliton solutions of the D(m,n) equation
AU - Ebadi, Ghodrat
AU - Krishnan, E. V.
AU - Johnson, Stephen
AU - Biswas, Anjan
N1 - Publisher Copyright:
© 2012, The Author(s).
PY - 2013/3/1
Y1 - 2013/3/1
N2 - This paper studies the D(m,n) equation, which is the generalized version of the Drinfeld–Sokolov equation. The traveling wave hypothesis and exp-function method are applied to integrate this equation. The mapping method and the Weierstrass elliptic function method also display an additional set of solutions. The kink, soliton, shock waves, singular soliton solution, cnoidal and snoidal wave solutions are all obtained by these varieties of integration tools. [Figure not available: see fulltext.]
AB - This paper studies the D(m,n) equation, which is the generalized version of the Drinfeld–Sokolov equation. The traveling wave hypothesis and exp-function method are applied to integrate this equation. The mapping method and the Weierstrass elliptic function method also display an additional set of solutions. The kink, soliton, shock waves, singular soliton solution, cnoidal and snoidal wave solutions are all obtained by these varieties of integration tools. [Figure not available: see fulltext.]
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U2 - 10.1007/s40065-012-0056-8
DO - 10.1007/s40065-012-0056-8
M3 - Article
AN - SCOPUS:84894733920
SN - 2193-5343
VL - 2
SP - 19
EP - 31
JO - Arabian Journal of Mathematics
JF - Arabian Journal of Mathematics
IS - 1
ER -