Constructing exact solutions to discrete systems with the trial function method

DOI10.1007/s11766-008-1757-9zbMath1199.37141OpenAlexW2150829509MaRDI QIDQ1032785

Sirendaoerji, Taogetusang

Publication date: 11 November 2009

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-008-1757-9

zbMATH Keywords

discrete systemtrial function methodexact solitary wave solution(2+1)-dimensional hybrid-lattice system

Mathematics Subject Classification ID

Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Uses Software

• ATFM

Cites Work

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• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Auxiliary equation method for solving nonlinear partial differential equations
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• Solitary wave solutions of nonlinear wave equations
• Elliptic Equation and New Solutions to Nonlinear Wave Equations
• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations