loading page

Special decompositions and linear superpositions of nonlinear systems: BKP and dispersionless BKP equations
  • Xiazhi Hao,
  • Senyue Lou
Xiazhi Hao
Zhejiang University of Technology

Corresponding Author:[email protected]

Author Profile
Senyue Lou
Ningbo University
Author Profile


The existence of decomposition solutions of the well-known nonlinear BKP hierarchy is analyzed. It is shown that these decompositions provide simple and interesting relationships between classical integrable systems and the BKP hierarchy. Further, some special decomposition solutions display a rare property: they can be linearly superposed. With the emphasis on the case of the fifth BKP equation, the structure characteristic having linear superposition solutions is analyzed. Finally, we obtain similar superposed solutions in the dispersionless BKP hierarchy.
05 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
06 Sep 2021Submission Checks Completed
06 Sep 2021Assigned to Editor
13 Sep 2021Review(s) Completed, Editorial Evaluation Pending
13 Sep 2021Editorial Decision: Revise Major
18 Sep 20211st Revision Received
18 Sep 2021Submission Checks Completed
18 Sep 2021Assigned to Editor
19 Sep 2021Reviewer(s) Assigned
29 Dec 2021Review(s) Completed, Editorial Evaluation Pending
31 Dec 2021Editorial Decision: Revise Minor
01 Jan 20222nd Revision Received
03 Jan 2022Submission Checks Completed
03 Jan 2022Assigned to Editor
04 Jan 2022Reviewer(s) Assigned
04 Jan 2022Review(s) Completed, Editorial Evaluation Pending
05 Jan 2022Editorial Decision: Accept