%PDF-1.4 % 5 0 obj << /S /GoTo /D (abstract.1) >> endobj 8 0 obj (Abstract) endobj 9 0 obj << /S /GoTo /D (section.1) >> endobj 12 0 obj (Introduction) endobj 13 0 obj << /S /GoTo /D (section.2) >> endobj 16 0 obj (Basic equations) endobj 17 0 obj << /S /GoTo /D (section.3) >> endobj 20 0 obj (Non-dimensional formulation) endobj 21 0 obj << /S /GoTo /D (section.4) >> endobj 24 0 obj (Spectrum of harmonic waves) endobj 25 0 obj << /S /GoTo /D (section.5) >> endobj 28 0 obj (The non-linear long-wave model) endobj 29 0 obj << /S /GoTo /D (section.6) >> endobj 32 0 obj (Marginally stable layered flows) endobj 33 0 obj << /S /GoTo /D (section.7) >> endobj 36 0 obj (Waves in abyssal shear flows) endobj 37 0 obj << /S /GoTo /D (section.8) >> endobj 40 0 obj (Conclusions) endobj 41 0 obj << /S /GoTo /D (dataavailability.1) >> endobj 44 0 obj (Data availability) endobj 45 0 obj << /S /GoTo /D (appendix.A) >> endobj 48 0 obj (Appendix A: Modal functions of the linearized problem) endobj 49 0 obj << /S /GoTo /D (appendix.B) >> endobj 52 0 obj (Appendix B: Dispersive term of the long-wave expansion) endobj 53 0 obj << /S /GoTo /D (appendix.C) >> endobj 56 0 obj (Appendix C: Denominator of the non-linear long-wave equation) endobj 57 0 obj << /S /GoTo /D (authorcontribution.1) >> endobj 60 0 obj (Author contributions) endobj 61 0 obj << /S /GoTo /D (competinginterests.1) >> endobj 64 0 obj (Competing interests) endobj 65 0 obj << /S /GoTo /D (sistatement.1) >> endobj 68 0 obj (Special issue statement) endobj 69 0 obj << /S /GoTo /D (acknowledgements.1) >> endobj 72 0 obj (Acknowledgements) endobj 73 0 obj << /S /GoTo /D (biblio.1) >> endobj 76 0 obj (References) endobj 77 0 obj << /S /GoTo /D [78 0 R /Fit ] >> endobj 91 0 obj << /Length 3966 /Filter /FlateDecode >> stream xڽَF}BO8^IÞl