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Breather-wave, multi-wave and interaction solutions for the (3+1)-dimensional generalized breaking soliton equation
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  • Jian-Guo Liu,
  • abdul-majid wazwaz,
  • Run-Fa Zhang,
  • Zhong-Zhou Lan
Jian-Guo Liu
Beijing University of Posts and Telecommunications
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abdul-majid wazwaz
Saint Xavier University
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Run-Fa Zhang
Dalian University of Technology
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Zhong-Zhou Lan
Inner Mongolia University of Finance and Economics
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Abstract

Under investigation is a (3+1)-dimensional generalized breaking soliton equation in nonlinear media. The interaction solution between lump wave and N-soliton (N = 2,3,4) are derived. The interaction solution between lump wave and periodic waves is also studied. Breather-wave and multi-wave solutions are obtained. The dynamical behavior is demonstrated by some 3D graphics and density plots. By means of mathematical induction, we also obtain the exact solution containing three arbitrary functions.