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Generalized exp (−φ(ξ ))-expansion method via (3+1)- Dimensional Breaking soliton equation, Korteweg-de Vries equation and modified Korteweg - de Vries - Kadomtsev - Petviashvili equation |
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PP: 79-88 |
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Author(s) |
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Mostafa M.A. Khater,
Dianchen Lu,
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Abstract |
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This paper applies the generalized exp (−φ(ξ ))-expansion technique to urge accurate and numerical wave solutions for (3+
1)-dimensional breaking soliton wave equation, Korteweg-de Vries equation and extended Korteweg-de Vries-Kadomtsev-Petviashvili
equation with particle-like behaviour for constructing novel solitary wave solutions of these essential models. These equations describe
the propagation of fragile dispersive and small amplitude waves in a very similar 3-dimensional medium that plays a significant role
in mathematical physics. The generalized exp (−φ(ξ ))-expansion technique is compelling, fabulous, happy and efficient to encourage
precise and travelling wave resolution of partial nonlinear differential equations (PDEs.). We tend to compare the results of this new
technique and another technique and show that, however, the closure of this technique ends up hiding many alternative strategies in this
field.
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