%PDF-1.4 5 0 obj << /S /GoTo /D (section.1) >> endobj 8 0 obj (1 Introduction) endobj 9 0 obj << /S /GoTo /D (section.2) >> endobj 12 0 obj (2 Coupled modified KP hierarchy) endobj 13 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 16 0 obj (2.1 Definition of the cmKP hierarchy) endobj 17 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 20 0 obj (2.2 Dressing operator, wave function) endobj 21 0 obj << /S /GoTo /D (subsection.2.3) >> endobj 24 0 obj (2.3 Bilinear identity) endobj 25 0 obj << /S /GoTo /D (subsection.2.4) >> endobj 28 0 obj (2.4 \040function) endobj 29 0 obj << /S /GoTo /D (subsection.2.5) >> endobj 32 0 obj (2.5 Construction of \040function) endobj 33 0 obj << /S /GoTo /D (section.3) >> endobj 36 0 obj (3 Dispersionless modified KP hierarchy) endobj 37 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 40 0 obj (3.1 Definition of the dcmKP hierarchy) endobj 41 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 44 0 obj (3.2 Dressing operator) endobj 45 0 obj << /S /GoTo /D (subsection.3.3) >> endobj 48 0 obj (3.3 Orlov-Schulman function) endobj 49 0 obj << /S /GoTo /D (subsection.3.4) >> endobj 52 0 obj (3.4 Fundamental two form and S function) endobj 53 0 obj << /S /GoTo /D (subsection.3.5) >> endobj 56 0 obj (3.5 Tau function) endobj 57 0 obj << /S /GoTo /D (subsection.3.6) >> endobj 60 0 obj (3.6 Relation with the dmKP hierarchy) endobj 61 0 obj << /S /GoTo /D (subsection.3.7) >> endobj 64 0 obj (3.7 The special case P=p0k) endobj 65 0 obj << /S /GoTo /D (subsection.3.8) >> endobj 68 0 obj (3.8 Quasi-classical limit of the cmKP hierarchy) endobj 69 0 obj << /S /GoTo /D (section.A) >> endobj 72 0 obj (A Form of P\(s\), P\(s\) and proof of Proposition 2 \(ii\)) endobj 73 0 obj << /S /GoTo /D (section.B) >> endobj 76 0 obj (B Difference operator formalism) endobj 77 0 obj << /S /GoTo /D (section.C) >> endobj 80 0 obj (C The cmKP hierarchy with a gauge parameter) endobj 81 0 obj << /S /GoTo /D (section.D) >> endobj 84 0 obj (D Equivalence of two formulations) endobj 85 0 obj << /S /GoTo /D [86 0 R /Fit ] >> endobj 88 0 obj << /Length 4739 /Filter /FlateDecode >> stream xڽ;k۶+e=@boҦ4&{ض42Vc[$w쟿EzxX,SyEJ/(4Tz,XțgZ 8TqB{fpJuXy^<^g$Y|D:\l~^~:W+,F}*-Kd3Bn)}W(Nv[] v0!Ȩֹ[VJu.*7K&0e~$J(F0c~W4Wp*c`ًØf pyM{!M ݟ \b ȿsTy +xaH 2xm 9#+i5#>{}-hBffX%f N ~tA