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Short Title: Solitons in deformed KdV and its twofold integrable hierarchy Abstract Recently proposed nonholonomic deformation of the KdV equation is solved through inverse scattering method by constructing AKNS type Lax pair. Exact N-soliton solution is found showing unusual ac(de)celerated motion. Twofold integrable hierarchy is revealed, one with usual(More)
A new integrable class of quantum models representing a family of different discrete-time or relativistic generalisations of the periodic Toda chain (TC), including that of a recently proposed classical close to TC model [7] is presented. All such models are shown to be obtainable from a single ancestor model at different realisations of the underlying(More)
A scheme suitable for describing quantum nonultralocal models including supersym-metric ones is proposed. Braided algebras are generalised to be used through Baxteri-sation for constructing braided quantum Yang–Baxter equations. Supersymmetric and some known nonultralocal models are derived in the framework of the present approach.
Defects which are predominant in a realistic model, usually spoil its integrability or solvability. We on the other hand show the exact integrability of a known sine-Gordon field model with a defect (DSG), at the classical as well as at the quantum level based on the Yang-Baxter equation. We find the associated classical and quantum R-matrices and the(More)
An integrable extension of the Calogero model is proposed to study the competing effect of momentum dependent long-range interaction over the original 1 r 2 interaction. The eigenvalue problem is exactly solved and the consequences on the generalized exclusion statistics, which appears to differ from the exchange statistics, are analyzed. Family of dual(More)
Received XXX Here we discuss two many-particle quantum systems, which are obtained by adding some nonhermitian but PT (i.e. combined parity and time reversal) invariant interaction to the Calogero model with and without confining potential. It is shown that the energy eigenvalues are real for both of these quantum systems. For the case of extended Calogero(More)
We explore a nonlocal connection between certain linear and nonlinear ordinary differential equations (ODEs), representing physically important oscillator systems, and identify a class of integrable nonlinear ODEs of any order. We also devise a method to derive explicit general solutions of the nonlinear ODEs. Interestingly, many well known integrable(More)
Exact integrability of the Sasa Satsuma equation (SSE) in the Liou-ville sense is established by showing the existence of an infinite set of conservation laws. The explicit form of the conserved quantities in terms of the fields are obtained by solving the Riccati equation for the associated 3 × 3 Lax operator. The soliton solutions, in particular, one and(More)