Journal
EUROPEAN PHYSICAL JOURNAL PLUS
Volume 135, Issue 8, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1140/epjp/s13360-020-00662-8
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Funding
- Shanxi Province Science Foundation for Youths [201901D211274]
- Shanxi Scholarship Council of China [2020-105]
- Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi [2019L0531]
- Fund for Shanxi [1331KIRT]
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In this paper, the bilinear method is employed to investigate theN-soliton solutions of a (3 + 1)-dimensional generalized breaking soliton equation. Three sets of bilinear Backlund transformations are obtained by means of gauge transformation. The Riemann-Backlund method is further extended to the (3 + 1)-dimensional nonlinear integrable systems. The quasiperiodic wave solutions of the (3 + 1)-dimensional generalized breaking soliton equation are systematically analyzed. The asymptotic properties of the quasiperiodic solutions are discussed by using a limiting procedure. The one-periodic and two-periodic waves tend to the 1-soliton and 2-soliton under a small amplitude limit, respectively. The dynamical characteristics of the one- and two-periodic waves are summarized by selecting different parameters. Furthermore, we obtain some new types of the quasiperiodic wave solutions of the variable coefficient (3 + 1)-dimensional generalized breaking soliton equation. These solutions present the dynamical behaviors of C-type, anti-C-type and Z-type periodic waves moving on the background of the periodic waves of bell type.
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