Effect of Weak Dislocation Potential on Nonlinear Wave Propagation in Anharmonic Crystal

The wave propagation in an infinite one-dimensional anharmonic lattice is studied under the influence of an anharmonic potential and a weak dislocation potential. It is found that the equation for the nonlinear wave propagation has N -kink solution. The properties of one and two kink solutions are discussed in detail. It is also found that there exists the critical eigenvalue due to the competition between the above two kinds of potentials . A few conservation laws are obtained.

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