Multi-wave, breather wave and lump solutions of the Boiti–Leon–Manna–Pempinelli equation with variable coefficients
Jian‐Guo Liu, Wangping Xiong
Abstract
In this paper, a variable-coefficient Boiti–Leon–Manna–Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three waves method, the homoclinic breather approach and the Hirota’s bilinear method. All solutions have been verified to be correct with the help of Mathematica software. We study the propagation characteristics of these solutions by some three-dimensional images. The obtained results are useful for understanding fluid propagating and incompressible fluid.
Topics & Concepts
BreatherVariable coefficientCompressibilityHomoclinic orbitBilinear interpolationVariable (mathematics)Bilinear formMathematical analysisPhysicsMathematicsMechanicsNonlinear systemQuantum mechanicsStatisticsBifurcationNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems