TY - JOUR
T1 - Necessary conditions of coupled mkdV-BLMP system for multiple-soliton solutions to exist
AU - Jaradat, H. M.
AU - Syam, Muhammed
AU - Alquran, Marwan
N1 - Publisher Copyright:
© 2017 Faculty of Engineering, Alexandria University
PY - 2018/9
Y1 - 2018/9
N2 - In this paper, we use the simplified bilinear method to solve the modified KdV and the potential Boiti–Leon–Manna–Pempinelli equation which are discussed by Wazwaz (2016) when a=3 and c=[Formula presented]. We find the necessary conditions in order that this problem has solutions. We test the proposed method by two ways. The first one, by taking a=3 and c=[Formula presented]. We find that the proposed method produces exactly the same solution found by Wazwaz (2016). Secondly, we compare our results using the proposed method with the tanh method and find that the two methods produce the same solutions. From these two comparisons, we conclude that the proposed method is efficient and the solutions produced by the simplified bilinear method are correct.
AB - In this paper, we use the simplified bilinear method to solve the modified KdV and the potential Boiti–Leon–Manna–Pempinelli equation which are discussed by Wazwaz (2016) when a=3 and c=[Formula presented]. We find the necessary conditions in order that this problem has solutions. We test the proposed method by two ways. The first one, by taking a=3 and c=[Formula presented]. We find that the proposed method produces exactly the same solution found by Wazwaz (2016). Secondly, we compare our results using the proposed method with the tanh method and find that the two methods produce the same solutions. From these two comparisons, we conclude that the proposed method is efficient and the solutions produced by the simplified bilinear method are correct.
KW - Modified KdV equation
KW - Simplified bilinear method
KW - Tanh method
KW - mKdV-BMLP equation
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U2 - 10.1016/j.aej.2017.06.012
DO - 10.1016/j.aej.2017.06.012
M3 - Article
AN - SCOPUS:85023771489
SN - 1110-0168
VL - 57
SP - 2133
EP - 2137
JO - Alexandria Engineering Journal
JF - Alexandria Engineering Journal
IS - 3
ER -