N-soliton solutions for (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system

摘要

Applying a symbolic computation algorithm, namely, the improved Hirota bilinear method, a new type of the N-soliton solutions is obtained for the (2+1)-dimensional nonlinear dissipative Zabolotskaya-Khokhlov system. The solutions can be expressed explicitly. Furthermore, the evolution process is investigated for the N-soliton solutions.