Backlund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation

Authors：Chen, Si-Jia; Ma, Wen-Xiu; Lu, Xing

Source：Communications in Nonlinear Science and Numerical Simulation, 2020, 83: 105135.

DOI：10.1016/j.cnsns.2019.105135

• Hirota bilinear form
• Backlund transformation
• Lump solutions
• Interaction phenomena

In this paper, a (3+1)-dimensional Hirota-Satsuma-Ito-like equation is introduced based on the (2+1)-dimensional Hirota-Satsuma-Ito equation. Backlund transformation and corresponding exponential function solutions are deduced by virtue of the Hirota bilinear form. The lump solutions are constructed and the interaction phenomena between a lump wave and multi-kink waves are discussed. The lump wave may turn up in different positions and can be swallowed by multi-kink waves, which means that the collision is non-elastic. Finally, the dynamical behavior of the interaction phenomena is numerically simulated.

• Institution
  北京交通大学; 浙江师范大学; 西北大学