Journal
THERMAL SCIENCE
Volume 21, Issue 4, Pages 1701-1705Publisher
VINCA INST NUCLEAR SCI
DOI: 10.2298/TSCI160809056D
Keywords
differential-difference sine-Gordon equation; analytical solutions; Jacobian elliptic function method
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Funding
- Zhejiang Provincial Natural Science Foundation of China [LY17F050011]
- National Natural Science Foundation of China [11375007]
- National Training Programs of Innovation and Entrepreneurship for Undergraduates of China [201610341025]
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In modern textile engineering, non-linear differential-difference equations are often used to describe some phenomena arising in heat/electron conduction and flow in carbon nanotubes. In this paper, we extend the variable coefficient Jacobian elliptic function method to solve non-linear differential-difference sine-Gordon equation by introducing a negative power and some variable coefficients in the ansatz, and derive two series of Jacobian elliptic function solutions. When the modulus of Jacobian elliptic function approaches to 1, some solutions can degenerate into some known solutions in the literature.
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