Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada.

"The book brilliantly harnesses powerful techniques, teaches them "on-the-job" and illustrates them with a profound and beautiful analysis of these equations, unreally real as suggested by one slogan of Chapter 2, a quote by Einstein, :As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do no refer to reality." Emma Previato, Mathematics Reviews

• Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger equations; 3. Existence of localized modes in periodic potentials; 4. Stability of localized modes; 5. Traveling localized modes in lattices; Appendix A. Mathematical notations; Appendix B. Selected topics of applied analysis; References; Index.

Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada.

"The book brilliantly harnesses powerful techniques, teaches them "on-the-job" and illustrates them with a profound and beautiful analysis of these equations, unreally real as suggested by one slogan of Chapter 2, a quote by Einstein, :As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do no refer to reality." Emma Previato, Mathematics Reviews

• Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger equations; 3. Existence of localized modes in periodic potentials; 4. Stability of localized modes; 5. Traveling localized modes in lattices; Appendix A. Mathematical notations; Appendix B. Selected topics of applied analysis; References; Index.

Dmitry E. Pelinovsky is a Professor in the Department of Mathematics at McMaster University, Canada.

"The book brilliantly harnesses powerful techniques, teaches them "on-the-job" and illustrates them with a profound and beautiful analysis of these equations, unreally real as suggested by one slogan of Chapter 2, a quote by Einstein, :As far as the laws of mathematics refer to reality, they are not certain; as far as they are certain, they do no refer to reality." Emma Previato, Mathematics Reviews

• Preface; 1. Formalism of the nonlinear Schrödinger equations; 2. Justification of the nonlinear Schrödinger equations; 3. Existence of localized modes in periodic potentials; 4. Stability of localized modes; 5. Traveling localized modes in lattices; Appendix A. Mathematical notations; Appendix B. Selected topics of applied analysis; References; Index.