Soliton solutions of the Kadomtsev-Petviashvili II equation
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[1] Yuji Kodama,et al. Young diagrams and N-soliton solutions of the KP equation , 2004, nlin/0406033.
[2] John F. Riordan. The distribution of crossings of chords joining pairs of $2n$ points on a circle , 1975 .
[3] G. Rowlands,et al. Nonlinear Waves, Solitons and Chaos , 1990 .
[4] Elena Medina,et al. An N Soliton Resonance Solution for the KP Equation: Interaction with Change of Form and Velocity , 2002 .
[5] V. Matveev,et al. Darboux Transformations and Solitons , 1992 .
[6] Philippe Flajolet,et al. Analytic Combinatorics of Chord Diagrams , 2000 .
[7] J. Moser. Finitely many mass points on the line under the influence of an exponential potential -- an integrable system , 1975 .
[8] J. Touchard,et al. Sur Un Problème De Configurations Et Sur Les Fractions Continues , 1952, Canadian Journal of Mathematics - Journal Canadien de Mathematiques.
[9] Peter A. Clarkson,et al. THE DIRECT METHOD IN SOLITON THEORY (Cambridge Tracts in Mathematics 155) , 2006 .
[10] Jean-Guy Penaud,et al. Une preuve bijective d'une formule de Touchard-Riordan , 1995, Discret. Math..
[11] Oktay K. Pashaev,et al. Degenerate Four-Virtual-Soliton Resonance for the KP-II , 2005 .
[12] N. C. Freeman,et al. Soliton Interactions in Two Dimensions , 1980 .
[13] Yuji Kodama,et al. Classification of the line-soliton solutions of KPII , 2007, 0710.1456.
[14] Gino Biondini,et al. Resonance and web structure in discrete soliton systems: the two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues , 2004, nlin/0406059.
[15] Ralph Willox,et al. Spider-web solutions of the coupled KP equation , 2003 .
[16] Tarmo Soomere,et al. Weakly two-dimensional interaction of solitons in shallow water☆ , 2006 .
[17] Mourad E. H. Ismail,et al. ORTHOGONAL POLYNOMIALS ASSOCIATED WITH THE ROGERS-RAMANUJAN CONTINUED FRACTION , 1983 .
[18] M. Ismail,et al. Classical and Quantum Orthogonal Polynomials in One Variable: Bibliography , 2005 .
[19] J. Nimmo,et al. Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique , 1983 .
[20] Gérard Viennot,et al. The Combinatorics of q-Hermite polynomials and the Askey - Wilson Integral , 1987, Eur. J. Comb..
[21] K. Lonngren,et al. On the resonant interaction of spherical ion-acoustic solitons , 1983 .
[22] 広田 良吾,et al. The direct method in soliton theory , 2004 .
[23] Junkichi Satsuma,et al. N-Soliton Solution of the Two-Dimensional Korteweg-deVries Equation , 1976 .
[24] Gino Biondini,et al. Elastic and inelastic line-soliton solutions of the Kadomtsev-Petviashvili II equation , 2005, Math. Comput. Simul..
[25] Ralph Willox,et al. On various solutions of the coupled KP equation , 2002 .
[26] L. Dickey. Soliton Equations and Hamiltonian Systems , 2003 .
[27] Kenji Ohkuma,et al. The Kadomtsev-Petviashvili Equation: the Trace Method and the Soliton Resonances , 1983 .
[28] B. Kadomtsev,et al. On the Stability of Solitary Waves in Weakly Dispersing Media , 1970 .
[29] Mikio Sato. Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold , 1983 .
[30] Y. Nishida,et al. Oblique Collision of Plane Ion-Acoustic Solitons , 1980 .
[31] Gino Biondini,et al. On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy , 2003, nlin/0306003.
[32] Michio Jimbo,et al. Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras , 2000 .
[33] M. Ablowitz,et al. Solitons, Nonlinear Evolution Equations and Inverse Scattering , 1992 .
[34] P. Deift. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , 2000 .
[35] John W. Miles,et al. Diffraction of solitary waves , 1977 .
[36] John W. Miles,et al. Resonantly interacting solitary waves , 1977, Journal of Fluid Mechanics.
[37] Jiang Zeng,et al. Distribution of Crossings, Nestings and Alignments of Two Edges in Matchings and Partitions , 2006, Electron. J. Comb..
[38] Alan C. Newell,et al. Breakdown of Zakharov-Shabat theory and soliton creation , 1977 .
[39] L. J. Rogers. Second Memoir on the Expansion of certain Infinite Products , 1893 .
[40] Alexander Postnikov,et al. Total positivity, Grassmannians, and networks , 2006 .
[41] Sylvie Corteel. Crossings and alignments of permutations , 2007, Adv. Appl. Math..