caa a22 4500 469081104 CHVBK 20180323132950.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF01182569 doi (NATIONALLICENCE)springer-10.1007/BF01182569 Exact nonlinear travelling hydromagnetic wave solutions [Elektronische Daten] [M. Venkatachalappa, N. Rudraiah, P. Sachdev] Summary: Exact travelling wave solutions for hydromagnetic waves in an exponentially stratified incompressible medium are obtained. With the help of two integrals it becomes possible to reduce the system of seven nonlinear PDE's to a second order nonlinear ODE which describes an one dimensional harmonic oscillator with a nonlinear friction term. This equation is studied in detail in the phase plane. The travelling waves are periodic only when they propagate either horizontally or vertically. The reduced second order nonlinear differential equation describing the travelling waves in inhomogeneous conducting media has rather ubiquitous nature in that it also appears in other geophysical systems such as internal waves, Rossby waves and topographic Rossby waves in the ocean. Springer-Verlag, 1992 Venkatachalappa M. UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Central College, Bangalore University, 560001, Bangalore, India aut Rudraiah N. Vice-Chancellor, Gulbarga University, 585 106, Gulbarga, India aut Sachdev P. Department of Mathematics, Indian Institute of Science, 560012, Bangalore, India aut Acta Mechanica Springer-Verlag 93/1-4(1992-03-01), 1-11 0001-5970 93:1-4<1 1992 93 707 https://doi.org/10.1007/BF01182569 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01182569 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Venkatachalappa M. UGC-DSA Centre in Fluid Mechanics, Department of Mathematics, Central College, Bangalore University, 560001, Bangalore, India aut NATIONALLICENCE 700 1- Rudraiah N. Vice-Chancellor, Gulbarga University, 585 106, Gulbarga, India aut NATIONALLICENCE 700 1- Sachdev P. Department of Mathematics, Indian Institute of Science, 560012, Bangalore, India aut NATIONALLICENCE 773 0- Acta Mechanica Springer-Verlag 93/1-4(1992-03-01), 1-11 0001-5970 93:1-4<1 1992 93 707 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer