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Volumn 123, Issue 1, 2009, Pages 83-151

Soliton solutions of the KP equation and application to shallow water waves

Author keywords

[No Author keywords available]

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; WATER WAVES;

EID: 68149156169     PISSN: 00222526     EISSN: 14679590     Source Type: Journal    
DOI: 10.1111/j.1467-9590.2009.00448.x     Document Type: Article
Times cited : (152)

References (36)
  • 1
    • 0242350970 scopus 로고    scopus 로고
    • On a family of solutions of the Kadomtsev-Petviashvili equation which also satisfy the Toda lattice hierarchy
    • G. Biondini and Y. Kodama, On a family of solutions of the Kadomtsev-Petviashvili equation which also satisfy the Toda lattice hierarchy, J. Phys. A: Math. Gen. : 10519 - 10536 (2003).
    • (2003) J. Phys. A: Math. Gen. , pp. 10519-10536
    • Biondini, G.1    Kodama, Y.2
  • 2
    • 9944220897 scopus 로고    scopus 로고
    • Young diagrams, N-soliton solutions of the KP equation
    • Y. Kodama, Young diagrams and N-soliton solutions of the KP equation, J. Phys. A: Math. Gen. : 11169 - 11190 (2004).
    • (2004) J. Phys. A: Math. Gen. , pp. 11169-11190
    • Kodama, Y.1
  • 3
    • 33645666408 scopus 로고    scopus 로고
    • Soliton solutions of the Kadomtsev-Petviashvili II equation
    • 033514
    • G. Biondini and S. Chakravarty, Soliton solutions of the Kadomtsev-Petviashvili II equation, J. Math. Phys. : 033514 (1-26) (2006).
    • (2006) J. Math. Phys. , pp. 1-26
    • Biondini, G.1    Chakravarty, S.2
  • 4
    • 48249154597 scopus 로고    scopus 로고
    • Classification of the line-solitons of KPII
    • 275209
    • S. Chakravarty and Y. Kodama, Classification of the line-solitons of KPII, J. Phys. A: Math. Theor. : 275209 (1 - 33) (2008).
    • (2008) J. Phys. A: Math. Theor. , pp. 1-33
    • Chakravarty, S.1    Kodama, Y.2
  • 5
    • 48249108584 scopus 로고    scopus 로고
    • A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation
    • S. Chakravarty and Y. Kodama, A generating function for the N-soliton solutions of the Kadomtsev-Petviashvili II equation, Contemp. Math. : 47 - 67 (2008).
    • (2008) Contemp. Math. , pp. 47-67
    • Chakravarty, S.1    Kodama, Y.2
  • 6
    • 0000262859 scopus 로고
    • On the stability of solitary waves in weakly dispersive media
    • B. B. Kadomtsev and V. I. Petviashvili, On the stability of solitary waves in weakly dispersive media, Sov. Phys.-Dokl. : 539 - 541 (1970).
    • (1970) Sov. Phys.-Dokl. , pp. 539-541
    • Kadomtsev, B.B.1    Petviashvili, V.I.2
  • 16
    • 0016908018 scopus 로고
    • Resonantly interacting solitary waves
    • J. W. Miles, Resonantly interacting solitary waves, J. Fluid Mech. : 171 - 179 (1977).
    • (1977) J. Fluid Mech. , pp. 171-179
    • Miles, J.W.1
  • 17
    • 4243670535 scopus 로고
    • Breakdown of Zakharov-Shabat theory, soliton creation
    • A. C. Newell and L. G. Redekopp, Breakdown of Zakharov-Shabat theory and soliton creation, Phys. Rev. Lett. : 377 - 380 (1977).
    • (1977) Phys. Rev. Lett. , pp. 377-380
    • Newell, A.C.1    Redekopp, L.G.2
  • 18
    • 0019081616 scopus 로고
    • Interaction of ion-acoustic solitons in two-dimensional space
    • F. Kako and N. Yajima, Interaction of ion-acoustic solitons in two-dimensional space, J. Phys. Soc. Jpn : 2063 - 2071 (1980).
    • (1980) J. Phys. Soc. Jpn , pp. 2063-2071
    • Kako, F.1    Yajima, N.2
  • 19
    • 0003133444 scopus 로고
    • Interaction of ion-acoustic solitons in multi-dimensional space. II
    • F. Kako and N. Yajima, Interaction of ion-acoustic solitons in multi-dimensional space. II, J. Phys. Soc. Jpn : 311 - 322 (1982).
    • (1982) J. Phys. Soc. Jpn , pp. 311-322
    • Kako, F.1    Yajima, N.2
  • 20
    • 2342612376 scopus 로고
    • Virtual states in strong interactions of plane ion-acoustic solitons
    • T. Nagasawa and Y. Nishida, Virtual states in strong interactions of plane ion-acoustic solitons, Phys. Rev. A : 3043 - 3050 (1983).
    • (1983) Phys. Rev. A , pp. 3043-3050
    • Nagasawa, T.1    Nishida, Y.2
  • 21
    • 0001740722 scopus 로고
    • Two-dimensional interaction of ion-acoustic solitons
    • P. A. Folkes, H. Ikezi, and R. Davis, Two-dimensional interaction of ion-acoustic solitons, Phys. Rev. Lett. : 902 - 904 (1980).
    • (1980) Phys. Rev. Lett. , pp. 902-904
    • Folkes, P.A.1    Ikezi, H.2    Davis, R.3
  • 23
    • 0002300501 scopus 로고
    • Soliton-solutions of the Korteweg-deVries, Kadomtsev-Petviashvili equations: The Wronskian technique
    • N. C. Freeman and J. J. C. Nimmo, Soliton-solutions of the Korteweg-deVries and Kadomtsev-Petviashvili equations: The Wronskian technique, Phys. Lett. A : 1 - 3 (1983).
    • (1983) Phys. Lett. A , pp. 1-3
    • Freeman, N.C.1    Nimmo, J.J.C.2
  • 24
    • 0040812200 scopus 로고
    • New subhierarchies of the KP hierarchy in the Sato theory. 2. Truncation of the KP hierarchy
    • H. Harada, New subhierarchies of the KP hierarchy in the Sato theory. 2. Truncation of the KP hierarchy, J. Phys. Soc. Jpn : 3847 - 3852 (1987).
    • (1987) J. Phys. Soc. Jpn , pp. 3847-3852
    • Harada, H.1
  • 25
    • 0006740209 scopus 로고
    • Reflection of obliquely incident solitary waves
    • M. Funakoshi, Reflection of obliquely incident solitary waves, J. Phys. Soc. Jpn : 2371 - 2379 (1980).
    • (1980) J. Phys. Soc. Jpn , pp. 2371-2379
    • Funakoshi, M.1
  • 27
    • 34547907425 scopus 로고    scopus 로고
    • Oblique interaction of solitons in an extended Kadomtsev-Petviashvili equation
    • H. Tsuji and M. Oikawa, Oblique interaction of solitons in an extended Kadomtsev-Petviashvili equation, J. Phys. Soc. Japan : 84401 - 84408 (2007).
    • (2007) J. Phys. Soc. Japan , pp. 84401-84408
    • Tsuji, H.1    Oikawa, M.2
  • 28
    • 0004181419 scopus 로고
    • Wiley-interscience, John Wiley & Sons. New York
    • G. B. Whitham, Linear and Nonlinear Waves, Wiley-interscience, John Wiley & Sons, New York, 1974.
    • (1974) Linear, Nonlinear Waves
    • Whitham, G.B.1
  • 29
    • 0038108187 scopus 로고    scopus 로고
    • An N soliton resonance for the KP equation: Interaction with change of form, velocity
    • E. Medina, An N soliton resonance for the KP equation: Interaction with change of form and velocity, Lett. Math. Phys. : 91 - 99 (2002).
    • (2002) Lett. Math. Phys. , pp. 91-99
    • Medina, E.1
  • 30
    • 34250461398 scopus 로고
    • Korteweg-deVries equation, a completely integrable Hamiltonian system
    • V. E. Zakharov and L. D. Fadeev, Korteweg-deVries equation, a completely integrable Hamiltonian system, Funct. Anal. Appl. : 280 - 287 (1971).
    • (1971) Funct. Anal. Appl. , pp. 280-287
    • Zakharov, V.E.1    Fadeev, L.D.2
  • 32
    • 6444225065 scopus 로고    scopus 로고
    • Enumeration of totally positive Grassmann cells
    • L. K. Williams, Enumeration of totally positive Grassmann cells, Adv. Math. : 319 - 342 (2005).
    • (2005) Adv. Math. , pp. 319-342
    • Williams, L.K.1
  • 34
    • 1542285417 scopus 로고    scopus 로고
    • Theoretical study of resonance of the Kadomtsev-Petviashvili equation
    • W.-S. Duan, Y.-R. Shi, and X.-R. Hong, Theoretical study of resonance of the Kadomtsev-Petviashvili equation, Phys. Lett. A : 89 - 94 (2004).
    • (2004) Phys. Lett. A , pp. 89-94
    • Duan, W.-S.1    Shi, Y.-R.2    Hong, X.-R.3
  • 35
    • 14244268920 scopus 로고    scopus 로고
    • Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes
    • T. Soomere, Interaction of Kadomtsev-Petviashvili solitons with unequal amplitudes, Phys. Lett. A : 74 - 78 (2004).
    • (2004) Phys. Lett. A , pp. 74-78
    • Soomere, T.1


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