Regarding new wave distributions of the non-linear integro-partial Ito differential and fifth-order integrable equations

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.

Keywords

• integro-partial differential equation
• fifth-order integrable model
• analytical method
• rational function solution
• complex solution
• contour surface
• travelling wave solutions
• mixed dark-bright soliton