{"references": ["C.S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Muira, Phys.\nRev. Lett. 19 (1968) pp. 467.", "C.S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Muira, Commun.\nPure Appl. Math., 27 (1974) pp. 97.", "T. C. Au-Yeung, C. Au and P. C. W. Fung, Physical Review A, 29 (1984)\npp. 2370-2374.", "W. P. Su, J. R. Schrieffer and A. J. Heeger, Phys. Rev. B, 22 (1980)\npp.2099", "I. M. Gel-fand and B. M. Levitan, Izv. Akad. Nauk SSSR, Ser. Mat.\n15 (1951) pp.309 (translated in Am. Math. Soc. Transl., Ser.2 1,(1955)\npp253).", "P. D. Lax, Commun. Pure Appl. Math., 21,(1968) pp.467.", "A. J. Bray, B. Derrida and C. Godreche, J. Phys. A 27, L357 (1994);", "For a review, see S. N. Majumdar, Curr. Sci. India 77 370 (1999).", "S.N. Majumdar, A. J. Bray, S. J. Corwell and C. Sire, Phys. Rev. Lett.\n77 3704 (1996).\n[10] P.C. Hohenberg and B.I. Halperin, Rev. Mod. Phys. 49 435 (1977).\n[11] B. Derrida, V. Hakim and V. Pasquier, Phys. Rev. Lett. 75 751 (1995).\n[12] A. J. Bray, B. Derrida and C. Godreche, Eur. Phys. Lett. 27 175 (1994);\nD. Stauffer, J. Phys. A 27 5029 (1994); S. N. Majumdar and C. Sire,\nPhys. Rev.Lett. 77 1420 (1996).\n[13] Abraham, I., Hunter, R. J., Sampson, K. E., Smith, S., Gottesman, M.\nM. & Mayo, J. K. (1987) Mol. Cell. Biol. 7 , 3098-3106.\n[14] Cho-Chung, Y. S., Nesterova, M., Becker, K. G., Srivastava, R., Park,\nY. G., Lee, Y. N., Cho, Y. S., Kim, M. K., Neary, C. & Cheadle, C.\n(2002) Ann. N.Y. Acad. Sci. 968 , 22-36.\n[15] Weissinger, E. M., Oettrich, K., Evans, C., Genieser, H. G., Schwede,\nF., Dangers, M., Dammann, E., Kolb, H. J., Mischak, H., Ganser, A. &\nKolch, W. (2004) Br. J. Cancer 91, 186-192.\n[16] M. Mostovoy, M. T. Figge, and J. Knoester, Europhys.Lett. 38 (1997)\n687.\n[17] M. Mostovoy, M. T. Figge, and J. Knoester, Phys. Rev.B 57 (1998)\n2861.\n[18] M. T. Figge, M. Mostovoy, and J. Knoester, Phys. Rev.B 58 (5) (1998);\ncond-mat/9803385.\n[19] M. J. Ablowitz, D. J. Kaup, A. C. Newell and H. Segur, 1973 Phys.\nRev. Lett. 30, 1262.\n[20] M. J. Ablowitz, D. J. Kaup, A. C. Newell and H. Segur, \"The Inverse\nScattering transform -Fourier Analysis for nonlinear problems\", Stud.\nAppl. Math, 53(1974) 249-315."]}

Recently T. C. Au-Yeung, C.Au, and P. C. W. Fung [2] have given the solution of the KdV equation [1] to the boundary condition , where b is a constant. We have further extended the method of [2] to find the solution of the KdV equation with asymptotic degeneracy. Via simulations we find both bright and dark Solitons (i.e. Solitons with opposite phases).