物理學系

杜明憲　　　　　　教授

期刊論文
001J.C.Shaw, M.H.Tu and H.C.Yen*,1992,Matrix models at finite N and KP hierarchy,Chinese J. Phys., 第30卷, 第497-507頁。(SCIE)
002M.H.Tu, J.C.Shaw and H.C.Yen*,1993,The two-matrix model at finite N and 2d Toda hierarchy,Chinese J. Phys., 第31卷, 第631--641頁。(SCIE)
003M.H.Tu*, J.C.Shaw and H.C.Yen,1996,A note on integrability in matrix models,Chinese J. Phys., 第34卷, 第1211--1220頁。(SCIE)
004C.H.Chou, M.H.Tu* and C.L.Wu,1996,Slow relaxation in hierarchically constrained glassy models,Chinese J. Phys., 第34卷, 第143-150頁。(SCIE)
005J.C.Shaw and M.H.Tu*,1997,The constrained modified KP hierarchy and the generalized Miura transformations,J. Phys. A, Vol.30, pp.L725-L731。(SCIE)
006M.H.Tu and M.F.Yang*,1997,Exact density of states of the lowest Landau level in a spin-1/2 system with uncorrelated disorders,Phys. Rev. B, Vol.55, pp.5205-5213。(SCIE)
007J.C. Shaw and M.H.Tu*,1997,Canonical Miura maps between the modified KP and KP hierarchies,J. Phys. A, Vol.30, pp.4825-4823。(SCIE)
008J..C. Shaw and M.H.Tu*,1997,Miura and auto-Backlund transformations for the CKP and KP hierarchies,J. Math. Phys., Vol.38, pp.5756-5773。(SCIE)
009L.L.Chau, J.C.Shaw and M.H.Tu*,1997,Solving the constrained KP hierarchy by gauge transformations,J. Math. Phys., Vol.38, pp.4128--4137。(SCIE)
010J.C.Shaw and M.H.Tu*,1998,Nonlocal extended conformal algebras associated with the multi-constraint KP hierarchy and its free-field realizations,Int. J. Mod. Phys. A, Vol.13, pp.2723-2737。(SCIE)
011J.C.Shaw and M.H.Tu*,1998,Binary Darboux-Backlund transformations for the Manin-Radul super KdV hierarchy,J. Math. Phys., Vol.39, pp.4773-4784。(SCIE)
012W.J.Huang, J.C.Shaw and M.H.Tu*,1998,Matrix formulation to the hamiltonian structure of the multi-constrained KP hierarchy,J. Math. Phys., Vol.39, pp.3738-3753。(SCIE)
013J.C. Shaw and M.H.Tu*,1998,On the Miura and Backlund transformations associated with supersymmetric Gelfand-Dickey bracket,Mod. Phys. Lett. A, Vol.13, pp.979-986。(SCIE)
014J.C. Shaw and M.H.Tu*,1998,Canonical gauge equivalence of the sAKNS and sTB hierarchies,J. Phys. A, Vol.31, pp.6517-6523。(SCIE)
015J.C. Shaw and M.H.Tu*,1998,The hidden algebraic structure of the coupled Kaup-Broer hierarchy,J. Phys. A, Vol.31, pp.4319-4328。(SCIE)
016J.C. Shaw and M.H.Tu*,1998,A note on the gauge equivalence of the Manin-Radul and Laberge-Mathieu super KdV hierarchies,J. Phys. A, Vol.31, pp.4805-4810。(SCIE)
017M.H.Tu*,1999,Q-deformed KP hierarchy: its additional symmetries and infinitesimal Backlund transformations,Lett. Math. Phys., Vol.49, pp.95-103。(SCIE)
018M.H.Tu*, J.C.Shaw and C.R.Lee,1999,On Darboux-Backlund transformations for the q-deformed Korteweg-de Vries hierarchy,Lett. Math. Phys., Vol.49, pp.33-45。(SCIE)
019M.H.Tu* and J.C.Shaw,1999,Hamiltonian structures of generalized Manin-Radul super KdV and constrained super KP hierarchies,J. Math. Phys., Vol.40, pp.3021-3034。(SCIE)
020M.H.Tu* and C.R. Lee,2000,On the q-deformed modified Korteweg-de Vries hierarchy,Phys. Lett. A, Vol.266, pp.155-159。(SCIE)
021J.H.Chang and M.H.Tu*,2000,Poisson algebras associated with constrained dispersionless modified KP hierarchies,J. Math. Phys., Vol.41, pp.8117-8131。(SCIE)
022J.H.Chang and M.H.Tu*,2000,On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies,J. Math. Phys., Vol.41, pp.5391-5406。(SCIE)
023M.H.Tu*,2001,On the Backlund transformation for the Moyal Korteweg-de Vries hierarchy,J. Phys. A, Vol.34, pp.L623-L629。(SCIE)
024M.H.Tu*,2001,W(k) n algebra associated with the Moyal KdV hierarchy,Phys. Lett. B, Vol.508, pp.173-183。(SCIE)
025J.H.Chang and M.H.Tu*,2001,On the Benney hierarchy: free energy, string equations and quantization,J. Phys. A, Vol.34, pp.251-272。(SCIE)
026M.H.Tu*, N.C. Lee and Y.T. Chen,2002,Conformal covariantization of Moyal-Lax operators,J. Phys. A, Vol.35, pp.4375-4384。(SCIE)
027Y.T. Chen and M.H.Tu*,2003/02,A note on the dispersionless Dym hierarchy,Lett. Math. Phys., Vol.63, pp.125-139。(SCIE)
028Y.T.Chen and M.H.Tu*,2003/08,On the dispersionless Dym hierarchy: dressing formulation and twistor construction,Lett. Math. Phys., Vol.65, pp.109-124。(SCIE)
029Y.T.Chen and M.H.Tu*,2003/09,Solving the dispersionless Dym equation by hodograph transformations,J. Phys. A, Vol.36, pp.9875-9883。(SCIE)
030J.H.Chang and M.H.Tu*,2004/06,Topological field theory approach to the generalized Benney hierarchy,Chinese J. Phys., 第42卷, 第249-272頁。(SCIE)
031Y.T. Chen, N.C. Lee and M.H.Tu*,2005/02,On the dispersionless Dym hierarchy of hydrodynamic type: two approaches,Phys. Lett. A, Vol.335, pp.157-166。(SCIE)
032Y.T.Chen, N.C.Lee and M.H.Tu*,2005/03,On dispersionless Hirota equations of the dispersionless Dym hierarchy,J. Phys. A, Vol.38, pp.2623-2633。(SCIE)
033D.C Wu*, M.H.Tu, Y.T Chen and J.H.Chang,2005/07,The dbar-approach to the dispersionless (2+1)-Harry Dym hierarchy,J. Phys. A, Vol.38, pp.6167-6181。(SCIE)
034M.H.Tu*, J.H.Chang and Y.T.Chen,2005/10,Dressing operator approach to the toroidal model of higher dimensional dispersionless KP hierarchy,J. Phys. A, Vol.38, pp.9529-9549。(SCIE)
035Y.T Chen and M.H.Tu*,2006/05,A note on the dispersionless BKP hierarchy,J. Phys. A: Math. Gen., Vol.39, pp.7641-7655。(SCIE)
036Y.T.Chen and M.H.Tu*,2006/10,On kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchy,J. Math. Phys., Vol.47, pp.102702。(SCIE)
037Y.T.Chen, J.H.Chang and M.H.Tu*,2007/07,Additional symmetries and Backlund transformations for the dispersionless Harry Dym hierarchy,Theor. Math. Phys., Vol.152, pp.915-925。(SCIE)
038Y.T. Chen, N.C. Lee and M.H. Tu*,2007/07,Polytropic gas dynamics revisited,J. Math. Phys., Vol.48, pp.072702。(SCIE)
039M.H. Tu*,2007/08,On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula,Lett. Math. Phys., Vol.81, pp.93-105。(SCIE)
040M.H. Tu*,2007/08,On dispersionless Lax representations for two-primary models,J. Phys. A, Vol.40, pp.9427-9436。(SCIE)
041H.F.Shen and M.H.Tu*,2009/09,On the string equation of the BKP hierarchy,Int. J. Mod. Phys. A, Vol.24, No.22, pp.4193-4208。(SCIE)
042Y.T.Chen, N.C.Lee and M.H.Tu*,2009/12,The WDVV symmetries in two-primary models,Theor. Math. Phys., Vol.161, No.3, pp.1634-1646。(SCIE)
043H.F.Shen, N.C.Lee and M.H.Tu*,2010/11,Kernel formula approach to the universal Whitham hierarchy,Theor. Math. Phys., Vol.165, pp.1456-1469。(SCIE)
044N.C.Lee, H.F.Shen and M.H.Tu*,2010/12,A note on reductions of the dispersionless Toda hierarchy,J. Math. Phys., Vol.51, pp.122704。(SCIE)
045H.F Shen and M.H. Tu*,2011/03,On the constrained B-type Kadomtsev–Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry,J. Math. Phys., Vol.52, pp.032704。(SCIE)
046H.F.Shen, N.C.Lee and M.H.Tu*,2011/04,Operator approach to solutions of the constrained BKP hierarchy,J. Phys. A, Vol.44, pp.135205。(SCIE)
047N.C.Lee and M.H.Tu*,2013/04,A note on the extended dispersionless Toda hierarchy,Theor. Math. Phys., Vol.175, No.1, pp.475-488。(SCIE)