The generalized Kadomtsive–Petviashvili modified equal width-Burgers (KP-MEW-B) equation described the propagation of long-wave with dissipation and dispersion in nonlinear media. We investigated the solitary wave solutions of generalized KP-MEW-B equation by applying modification form of extended auxiliary equation mapping method. As a results, families of solitary wave solutions are obtained in different form of solitons: the single bright–dark solitons, the double bright–dark solitons and traveling wave solutions. The physical structure of these new solutions are shown in two and three dimensional graphically with the aid of computer software Mathematica. These obtained new solutions show the power and effectiveness of this new method. We can also solve other unstable nonlinear system of PDEs which are involved in mathematical physics and many other branches of physical sciences with the help of this new method .

中文翻译：

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利用广义Kadomtsive–Petviashvili修正的等宽-Burgers方程在非线性介质中传播长波并具有耗散和色散

广义的Kadomtsive–Petviashvili修正的等宽Burgers（KP-MEW-B）方程描述了在非线性介质中具有耗散和色散的长波传播。应用扩展辅助方程映射方法的修正形式，研究了广义KP-MEW-B方程的孤波解。结果，以不同形式的孤子获得了一系列孤波解决方案：单个明暗孤子，双重明暗孤子和行波解决方案。这些新解决方案的物理结构借助计算机软件Mathematica以二维和三维图形形式显示。这些获得的新解决方案显示了此新方法的强大功能和有效性。