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New Solitary Wave Solutions for Variants of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony Equations
Frontiers in Physics ( IF 3.1 ) Pub Date : 2020-07-17 , DOI: 10.3389/fphy.2020.00332
Hadi Rezazadeh , Mustafa Inc , Dumitru Baleanu

We solve distinct forms of (3+1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+1)-Dimensional WBBM] equations by employing the method of Sardar-subequation. When parameters involving this approach are taken to be special values, we can obtain the solitary wave solutions (sws) which is concluded from other approaches such as the functional variable method, the trail equation method, the first integral method and so on. We obtain new and general solitary wave solutions in terms of generalized hyperbolic and trigonometric functions. The results demonstrate the power of the proposed method for the determination of sws of non-linear evolution equations (NLEs).



中文翻译:

(3 + 1)维Wazwaz-Benjamin-Bona-Mahony方程变体的新孤波解

我们采用Sardar子方程法求解(3 + 1)维Wazwaz-Benjamin-Bona-Mahony [(3 + 1)维WBBM]方程的不同形式。当涉及此方法的参数取特殊值时,我们可以获得孤立波解(sws),它是由其他方法(如函数变量法,尾迹方程法,第一积分法等)得出的。我们根据广义双曲函数和三角函数获得了新的广义孤波解。结果证明了所提出的方法对于确定非线性演化方程(NLE)sws的能力。

更新日期:2020-09-05
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