Construction of abundant solutions for two kinds of (3+1)-dimensional equations with time-dependent coefficients

• Published in: Nonlinear dynamics Vol. 103; no. 2; pp. 1817 - 1829
• Main Authors: Han, Peng-Fei, Bao, Taogetusang
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.01.2021; Springer Nature B.V
• Subjects: Automotive Engineering; Classical Mechanics; Coefficients; Control; Dynamical Systems; Engineering; Existence theorems; Mechanical Engineering; Nonlinear evolution equations; Original Paper; Vibration; Compound solutions of different functions; Hirota bilinear method; Rogue wave; Dimensional vcBLMP equation; Three-solitary wave; Breather-kink wave; Homoclinic test method; Dimensional vcDJKM equation

Variable-coefficient nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and non-uniformities of boundaries than their constant coefficients in some real-world problems. A ( 3 + 1 ) -dimensional variable coefficient Date–Jimbo–Kashiwara–Miwa (vcDJKM) equatio...