Abstract
We present some new exact (solitary and traveling) solutions to the sine-Gordon equationsc 2uxx−utt = α sinu andcu xt+ utt = α sinu, and the dissipative sine-Gordon equationc 2uxx−utt−γut=α1 sinu+α 2 sin(2u). Here,α, α 1, andα 2 are the coupling constants, real numbers;c is theintrinsic speed of the propagating wave determined by the system; andγ is the damping factor. The physical implication is briefly discussed.
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Yang, Z.J. Some exact solutions to the sine-Gordon equations. Int J Theor Phys 34, 589–593 (1995). https://doi.org/10.1007/BF00674954
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DOI: https://doi.org/10.1007/BF00674954