ANALYTICAL STUDY ON NONLINEAR DIFFERENTIAL–DIFFERENCE EQUATIONS VIA A NEW METHOD

DOI10.1142/S0217984910022846zbMath1186.37089MaRDI QIDQ3560131

Hong Zhao

Publication date: 19 May 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

zbMATH Keywords

soliton-like solutionsJacobian elliptic function rational expansion method (JEFREM)nonlinear differential-difference equations (NLDDEs)period-form solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Elliptic functions and integrals (33E05)

Cites Work

• Jacobi elliptic function solutions of the Ablowitz-Ladik discrete nonlinear Schrödinger system
• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• A simple but efficient approach for studying on nonlinear differential-difference equations
• Doubly periodic wave solutions and soliton solutions of Ablowitz-Ladik lattice system
• Theory of nonlinear lattices.
• Nonlinear differential–difference equations and Fourier analysis
• Nonlinear Evolution Equations—Continuous and Discrete
• On some integrable systems related to the Toda lattice
• Conditions for the existence of higher symmetries of evolutionary equations on the lattice

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