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Stability of waves in multi-component DNLS system
System Evans function method discrete equations vector system Evans function
2014/12/25
In this work, we systematically generalize the Evans function methodology to address vector systems of discrete equations. We physically motivate and mathematically use as our case example a vector fo...
Stability of waves using the Fredholm determinant
Stability of waves Fredholm determinant Analysis of PDEs
2011/8/23
Abstract: We present a new method for reducing the Fredholm determinant associated with an underlying Birman-Schwinger operator to a finite dimensional determinant. Moreover, we compute explicitly the...