EXACT SOLUTIONS FOR DIFFERENTIAL-DIFFERENCE EQUATIONS BY BÄCKLUND TRANSFORMATION OF RICCATI EQUATION
DOI10.1142/S0217984910025012zbMath1203.82022OpenAlexW2041522224WikidataQ115245990 ScholiaQ115245990MaRDI QIDQ3062677
Benny Y. C. Hon, Yu-Feng Zhang, Jian-qin Mei
Publication date: 28 December 2010
Published in: Modern Physics Letters B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217984910025012
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice dynamics; integrable lattice equations (37K60)
Cites Work
- Remarks on the paper by Sun and Meng, Appl. Math. Comput. 174 (2006)
- Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
- New rational formal solutions for \((1 + 1)\)-dimensional Toda equation and another Toda equation
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- Exact solutions for a new class of nonlinear evolution equations with nonlinear term of any order
- The extended Jacobian elliptic function expansion method and its application in the generalized Hirota-Satsuma coupled KdV system.
- Abundant families of Jacobi elliptic function solutions of the \((2+1)\)-dimensional integrable Davey-Stewartson-type equation via a new method
- A new Jacobi elliptic function rational expansion method and its application to (1 + 1)-dimensional dispersive long wave equation
- Exact discrete soliton solutions of the nonlinear differential-difference equations
- A new Riccati equation rational expansion method and its application to \((2+1)\)-dimensional Burgers equation
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- The application of extended tanh-function approach in Toda lattice equations
- Extended tanh-function method and its applications to nonlinear equations
- Wave Propagation in Nonlinear Lattice. I
- Wave Propagation in Nonlinear Lattice. II
- Computation of densities and fluxes of nonlinear differential‐difference equations
- EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
- Variable separation approach for a differential-difference system: special Toda equation
- Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
- INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES
- N-fold Darboux transformation and soliton solutions for a nonlinear Dirac system
- EXACT TRAVELING WAVE SOLUTIONS FOR SOME NONLINEAR EVOLUTION EQUATIONS WITH NONLINEAR TERMS OF ANY ORDER
- New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations
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