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Solitary wave solutions of a system of coupled nonlinear equations. (English) Zbl 0663.35076

A class of coupled nonlinear wave equations is presented. It is shown that the coupled equation possesses solitary wave solutions. Some comments are made on the previously obtained solutions of a similar class of equations.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
76B25 Solitary waves for incompressible inviscid fluids
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[1] DOI: 10.1016/0375-9601(81)90423-0 · doi:10.1016/0375-9601(81)90423-0
[2] DOI: 10.1088/0305-4470/18/10/003 · doi:10.1088/0305-4470/18/10/003
[3] DOI: 10.1016/0375-9601(82)90426-1 · doi:10.1016/0375-9601(82)90426-1
[4] DOI: 10.1143/JPSJ.55.3753 · doi:10.1143/JPSJ.55.3753
[5] DOI: 10.1143/JPSJ.55.3753 · doi:10.1143/JPSJ.55.3753
[6] DOI: 10.1063/1.527324 · Zbl 0614.35080 · doi:10.1063/1.527324
[7] DOI: 10.1143/JPSJ.51.2391 · doi:10.1143/JPSJ.51.2391
[8] DOI: 10.1143/JPSJ.51.2391 · doi:10.1143/JPSJ.51.2391
[9] DOI: 10.1088/0305-4470/18/11/017 · Zbl 0582.35106 · doi:10.1088/0305-4470/18/11/017
[10] DOI: 10.1002/sapm19796011 · Zbl 0428.76025 · doi:10.1002/sapm19796011
[11] DOI: 10.1143/JPSJ.38.673 · Zbl 1334.82022 · doi:10.1143/JPSJ.38.673
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