Abstract
Abstract This paper applies a powerful scheme, namely Bernoulli sub-equation function method, to some partial differential equations with high non-linearity. Many new travelling wave solutions, such as mixed dark-bright soliton, exponential and complex domain, are reported. Under a suitable choice of the values of parameters, wave behaviours of the results obtained in the paper – in terms of 2D, 3D and contour surfaces – are observed.
Highlights
Mathematical models have been used to explain many real-world problems, in the past decade
Compression of main electrocardiography signals using a new genetic programming-based mathematical modelling algorithm has been studied by Feli and AbdaliMohammadi [7]
Camaraza-Medina et al [10] presented a new study on the mathematical inference of computation of heat transmission by thickenings inside tubes
Summary
Mathematical models have been used to explain many real-world problems, in the past decade. Colucci et al [2] have introduced a new partial differential equation to define the ice crystal size delivery. Another novel model considered to explain the nucleation of spherical agglomerates using the immersion mechanism has been developed by Tash et al [3]. Camaraza-Medina et al [10] presented a new study on the mathematical inference of computation of heat transmission by thickenings inside tubes. Another powerful model involving chemical reaction systems has been proposed by Amin et al [11].
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