We present a model of optical communication system for high-bitrate data transmission in the nonreturn-to-zero (NRZ) format over transoceanic distance. The system operates in a small group velocityâ€¦ (More)

The dispersionless differential Fay identity is shown to be equivalent to a kernel expansion providing a universal algebraic characterization and solution of the dispersionless Hirota equations. Someâ€¦ (More)

We present a new class of topological conformal eld theories (TCFT) characterized by a rational W potential, which includes the minimal models of A and D types as its subclasses. An explicit form ofâ€¦ (More)

Based on the dispersionless KP (dKP) theory, we give a comprehensive study of the topological Landau-Ginzburg (LG) theory characterized by a rational potential. Writing the dKP hierarchy in a generalâ€¦ (More)

The behavior of solutions of the finite-genus Whitham equations for the weak dispersion limit of the defocusing nonlinear SchrÃ¶dinger equation is investigated analytically and numerically forâ€¦ (More)

We describe the interaction pattern in the xâ€“y plane for a family of soliton solutions of the Kadomtsevâ€“Petviashvili (KP) equation, (âˆ’4ut + uxxx + 6uux)x + 3uyy = 0. The solutions considered alsoâ€¦ (More)

The main purpose of this paper is to give a survey of recent development on a classification of soliton solutions of the KP equation. The paper is self-contained, and we give a complete proof for theâ€¦ (More)

Abstract. We study an iso-spectral deformation of general matrix which is a natural generalization of the Toda lattice equation. We prove the integrability of the deformation, and give an explicitâ€¦ (More)

Given a point A in the real Grassmannian, it is well-known that one can construct a soliton solution uA(x, y, t) to the KP equation. The contour plot of such a solution provides a tropicalâ€¦ (More)

In the previous papers (notably, Y. Kodama, J. Phys. A 37, 111 69-11190 (2004), and G. Biondini and S. Chakravarty, J. Math. Phys. 47 033514 (2006)), we foun d a large variety of line-solitonâ€¦ (More)