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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 1, Pages 135–147
DOI: https://doi.org/10.4213/tmf146 (Mi tmf146) 		 
Homoclinic Orbits for a Perturbed Lattice Modified KdV Equation

V. M. Rotos

Loughborough University
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DOI: https://doi.org/10.4213/tmf146
Abstract: We establish the splitting of homoclinic orbits for a near-integrable lattice modified KdV (mKdV) equation with periodic boundary conditions. We use the Bäcklund transformation to construct homoclinic orbits of the lattice mKdV equation. We build the Melnikov function with the gradient of the invariant defined through the discrete Floquet discriminant evaluated at critical points. The criteria for the persistence of homoclinic solutions of the perturbed lattice mKdV equation are established.
Keywords: homoclinic solutions, lattice mKdV equation, Melnikov analysis.
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 1, Pages 117–127
DOI: https://doi.org/10.1023/A:1021828008831
Bibliographic databases:
Language: Russian
Citation: V. M. Rotos, “Homoclinic Orbits for a Perturbed Lattice Modified KdV Equation”, TMF, 134:1 (2003), 135–147; Theoret. and Math. Phys., 134:1 (2003), 117–127
Citation in format AMSBIB
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\paper Homoclinic Orbits for a Perturbed Lattice Modified KdV Equation
\jour TMF
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\vol 134
\issue 1
\pages 135--147
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\crossref{https://doi.org/10.4213/tmf146}
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\transl
\jour Theoret. and Math. Phys.
\yr 2003
\vol 134
\issue 1
\pages 117--127
\crossref{https://doi.org/10.1023/A:1021828008831}
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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